The standard deviation is lower for Series A (12.0) than for Series B (10.0), indicating that Series A has less variation and is more consistent over time. While the mean wages increased for Series A after the dispute, the median wages decreased, suggesting the distribution became more skewed. The management benefited from lower wages despite higher variation, while workers had mixed outcomes.
Questions Of Quantitative Aptitude Tests For Competitive ExaminationsDr. Trilok Kumar Jain
The document contains a collection of quantitative aptitude questions often asked in competitive exams. It provides the questions, explains the solutions, and includes links to additional practice resources on quantitative aptitude and entrepreneurship.
The document provides information about measures of central tendency and dispersion in statistics. It discusses finding the mode, median, and mean of ungrouped and grouped data. It also discusses determining the range and interquartile range of ungrouped and grouped data. Formulas are provided for calculating the mean, median, mode, range, interquartile range, and variance of data sets. Examples are worked through to demonstrate calculating these statistical measures from raw data sets and frequency distribution tables.
Right foundation at the right stage is the most important factor in the success of any student in exam and in life the APEX IIT / PMT foundation program is aimed at students studying in class XI, who aspire to prepare for engineering / medical entrance in future. The program keeps the school curriculum as base and further upgrades the students’ knowledge to meet the requirements of competitive exams. The program has been design in a way so as to develop orientation of the students as well as to motivate him to excel in competitive exams.
Two Year Classroom Program is the ideal program for students who wish to start early in their quest for a seat at the IITs. This program helps the student not only to excel in IIT-JEE but also in Olympiads & KVPY by building a strong foundation, enhance their IQ & analytical ability and develop parallel thinking processes from a very early stage in their academic career. Students joining this program will have more time to clear their fundamentals and practice extensively for IIT-JEE, their ultimate goal!
The document contains 31 multi-step math word problems with solutions. The problems cover a range of topics including percentages, ratios, averages, probability, geometry, and more. The level of difficulty ranges from relatively simple to more complex.
The document provides information about a management aptitude test and social entrepreneurship program. It discusses developing change makers and offers a free, comprehensive program in social and spiritual entrepreneurship open to all. It then provides examples of math and reasoning questions along with solutions.
This document contains math problems of increasing difficulty levels for grades 1 through 6. It covers topics such as whole numbers, decimals, fractions, and word problems involving money. For each grade, there are sections titled Easy, Average, Difficult, and Clincher Round containing multiple choice problems to test skills appropriate for that grade level.
The document provides information on numerical reasoning concepts including arithmetic progression, geometric progression, formulas, ratio and proportion problems, alligation, and mixture problems. It includes 15 multi-step word problems covering these topics and their step-by-step solutions. The problems demonstrate how to set up and solve ratios, proportions, alligation and mixture scenarios to find unknown values.
The document contains solutions to 26 multiple choice questions. The solutions provide step-by-step working to arrive at the answer choices A through E for each question. Some key steps involve simplifying fractions and expressions, evaluating probabilities, solving equations, and using logical reasoning to analyze word problems about topics like math, statistics, and probability.
Questions Of Quantitative Aptitude Tests For Competitive ExaminationsDr. Trilok Kumar Jain
The document contains a collection of quantitative aptitude questions often asked in competitive exams. It provides the questions, explains the solutions, and includes links to additional practice resources on quantitative aptitude and entrepreneurship.
The document provides information about measures of central tendency and dispersion in statistics. It discusses finding the mode, median, and mean of ungrouped and grouped data. It also discusses determining the range and interquartile range of ungrouped and grouped data. Formulas are provided for calculating the mean, median, mode, range, interquartile range, and variance of data sets. Examples are worked through to demonstrate calculating these statistical measures from raw data sets and frequency distribution tables.
Right foundation at the right stage is the most important factor in the success of any student in exam and in life the APEX IIT / PMT foundation program is aimed at students studying in class XI, who aspire to prepare for engineering / medical entrance in future. The program keeps the school curriculum as base and further upgrades the students’ knowledge to meet the requirements of competitive exams. The program has been design in a way so as to develop orientation of the students as well as to motivate him to excel in competitive exams.
Two Year Classroom Program is the ideal program for students who wish to start early in their quest for a seat at the IITs. This program helps the student not only to excel in IIT-JEE but also in Olympiads & KVPY by building a strong foundation, enhance their IQ & analytical ability and develop parallel thinking processes from a very early stage in their academic career. Students joining this program will have more time to clear their fundamentals and practice extensively for IIT-JEE, their ultimate goal!
The document contains 31 multi-step math word problems with solutions. The problems cover a range of topics including percentages, ratios, averages, probability, geometry, and more. The level of difficulty ranges from relatively simple to more complex.
The document provides information about a management aptitude test and social entrepreneurship program. It discusses developing change makers and offers a free, comprehensive program in social and spiritual entrepreneurship open to all. It then provides examples of math and reasoning questions along with solutions.
This document contains math problems of increasing difficulty levels for grades 1 through 6. It covers topics such as whole numbers, decimals, fractions, and word problems involving money. For each grade, there are sections titled Easy, Average, Difficult, and Clincher Round containing multiple choice problems to test skills appropriate for that grade level.
The document provides information on numerical reasoning concepts including arithmetic progression, geometric progression, formulas, ratio and proportion problems, alligation, and mixture problems. It includes 15 multi-step word problems covering these topics and their step-by-step solutions. The problems demonstrate how to set up and solve ratios, proportions, alligation and mixture scenarios to find unknown values.
The document contains solutions to 26 multiple choice questions. The solutions provide step-by-step working to arrive at the answer choices A through E for each question. Some key steps involve simplifying fractions and expressions, evaluating probabilities, solving equations, and using logical reasoning to analyze word problems about topics like math, statistics, and probability.
This document contains 19 multiple choice questions with solutions. The questions cover a range of math and logic topics such as geometry, percentages, remainders, and inequalities. For each question, the correct multiple choice answers are indicated based on working through the logic presented in the short solutions. This provides a review of different types of multiple choice questions and reasoning through solutions in brief explanations.
The document contains sample questions from various grade levels in mathematics. It includes questions ranging from easy, average to difficult levels of difficulty. The questions cover topics such as numbers, operations, algebra, geometry and measurement. There are over 100 questions in total, assessing skills like computations, word problems, ratios, proportions and other math concepts.
The document contains 33 quantitative comparison questions from the revised GRE. Each question provides information about quantities, relations, or geometric figures and asks which quantity is greater. The solutions show that for many questions, the relationship between the quantities cannot be determined from the given information, since different assumptions lead to different answers. The overall high-level summary is:
- The document contains 33 quantitative comparison questions from the GRE with information about quantities, relations, or figures
- Many questions cannot be definitively answered, as different assumptions produce different results
- The solutions demonstrate that the relationship between quantities is indeterminate in these cases
Revised GRE quantitative questions by Rejan Chitrakar. This ebook is sufficient to be able to tackle all types of revised gre questions. All the best for your GRE!!!
The document provides information about the Management Aptitude Test Afterschool Centre for Social Entrepreneurship and its PGPSE program. The 3 year program aims to develop social entrepreneurs and offers flexible specializations. It has no fees and uses case studies, workshops and projects to teach practical skills for entrepreneurship and social development.
The document provides information about the Management Aptitude Test Afterschool Centre for Social Entrepreneurship and its PGPSE program. The 3 year program aims to develop social entrepreneurs and offers flexible specializations. It has no fees and uses case studies, workshops and projects to teach practical skills for entrepreneurship and social development.
- A percentage is a fraction with a denominator of 100. Expressing values as percentages allows them to be represented as fractions out of 100.
- To convert a percentage to a decimal, divide the percentage rate by 100.
- Percentage changes can be used to calculate how quantities change when original values increase or decrease by a given percentage. Formulas are provided to calculate these changes.
- Several examples are given to demonstrate calculating percentages, converting between fractional and percentage representations, and using percentage changes to solve word problems.
The document provides information about various measures of central tendency including arithmetic mean, median, mode, geometric mean, and harmonic mean. It defines each measure and provides examples of calculating them using data from frequency distributions. The arithmetic mean is the most common average and is calculated by summing all values and dividing by the total number of values. The median is the middle value when values are arranged in order. The mode is the most frequent value. The geometric mean is calculated by taking the nth root of the product of n values. The harmonic mean gives the greatest weight to the smallest values and is used to average rates.
This document discusses measures of central tendency, including the mode, median, quartiles, and percentiles. It provides definitions and formulas for calculating each measure. The mode is defined as the value that occurs most frequently. The median divides the data set into two equal parts. Quartiles divide the data set into four equal parts, with the second quartile being the median. Percentiles divide the data set into 100 equal parts. Several examples are provided to demonstrate calculating the mode, median, quartiles, deciles and percentiles from data sets.
TCS Placement Papers (Aptitude questions with solution)meenatchi selvaraj
1. The document presents 14 math and logic problems with multiple choice answers. It includes problems about ratios, time, percentages, arithmetic, and logical reasoning.
2. One problem involves a two digit number where the number exceeds 4 times the sum of its digits by 3. Another asks about the capacity of workers to complete a job and calculates the time to complete it.
3. Several problems involve setting up equations from verbal descriptions to calculate unknown values like costs, ages, or distances based on given information and constraints. The last problem describes statements from people about their race placement and asks to determine who told the truth.
This document provides information about different types of averages:
- Simple average is the sum of all quantities divided by the total number of quantities. It is a measure of central tendency.
- Weighted average takes into account different weights or numbers of items. It is calculated by multiplying each value by its weight and dividing the sum by the total weight.
- Average speed can be calculated from distances traveled and times taken for different speeds. The average speed will be between the minimum and maximum individual speeds.
- Changes to averages due to adding or removing members from a group can be used to calculate properties of the added or removed members.
Grade 9: Mathematics Unit 1 Quadratic Equations and Inequalities.Paolo Dagaojes
This document provides an introduction to Module 1 of a mathematics learner's material on quadratic equations and inequalities. It includes 7 objectives that will be covered across 7 lessons. Lesson 1 will illustrate quadratic equations, Lesson 2 will cover solving quadratic equations using extracting square roots, factoring, completing the square, and the quadratic formula. Lesson 3 will discuss the nature of roots of quadratic equations. Lesson 4 will describe the relationship between coefficients and roots. Lesson 5 will solve equations transformable into quadratic equations. Lesson 6 will apply quadratic equations to problems. Lesson 7 will illustrate and solve quadratic inequalities and problems involving them. The document provides the structure and overview of the topics to be discussed in the module.
The document provides examples of advanced quantitative questions from the GMAT exam covering topics such as fractions and ratios, percentages, integers, powers, roots, algebra, and word problems. Each section presents 3 sample problems with multiple choice answers and explanations of the correct answers. The questions require setting up and solving equations, factoring expressions, evaluating expressions, approximations, properties of integers and exponents, and interpreting word problems algebraically.
This document contains a collection of study material and practice questions related to number systems, polynomials, and systems of linear equations for Class 10. There are over 50 questions covering topics like divisibility rules, factorization, rational and irrational numbers, operations on polynomials including finding zeros, and solving and graphing systems of linear equations. The questions range from straightforward applications of concepts to more complex multi-step problems and proofs.
Math for 800 06 statistics, probability, sets, and graphs-chartsEdwin Lapuerta
- The document contains information about statistics including measures of central tendency, dispersion, probability, and counting methods.
- It discusses topics like mean, median, mode, range, standard deviation, normal distribution, and the empirical rule.
- Probability concepts covered include independent and dependent events, the addition law of probabilities, and examples of calculating probabilities of various card draws.
- The final section discusses counting principles for permutations, combinations, and probability.
This document discusses measures of central tendency, including the arithmetic mean (AM) and median (Md). It provides formulas and steps to calculate AM and Md for both grouped and ungrouped data. For AM, the key points are that it is the sum of all values divided by the number of values, and it can be used to find the average of combined data sets. For Md, it divides the data into two equal parts and is the middle value when the number of observations is odd or the average of the two middle values when the number is even. The document also includes examples and practice questions to illustrate calculating AM and Md.
This document provides a summary of key statistical concepts and practice test questions. It covers topics such as types of variables, populations and samples, measures of central tendency and variation, frequency distributions, and levels of measurement. Several questions from a practice test on introductory statistics are presented and answered, involving calculations of mean, median, mode, variance, standard deviation, and interpreting frequency tables and distributions. Examples of different sampling methods and types of studies are also defined.
This document provides information about the t-test and chi-square test. It defines the t-test as a test used to compare the means of two samples when the population standard deviation is unknown. It lists the assumptions of the t-test and provides the formula. An example t-test problem and solution is given. Chi-square is introduced as a test used with categorical and numerical data to test for independence and goodness of fit. The chi-square test statistic, degrees of freedom, and hypothesis testing process are outlined. An example chi-square goodness of fit problem and solution is also provided.
This document provides an introduction to statistics and probability. It discusses key concepts such as data, levels of measurement, population and sampling, measures of central tendency and dispersion, and outliers. Some key points covered include:
- Statistics helps draw inferences about populations based on random samples.
- Data can be continuous or categorical and is important for understanding relationships and making predictions.
- There are different levels of measurement for data: nominal, ordinal, interval, and ratio.
- A population is the whole group, while a sample is a subset used to make inferences.
- Common measures of central tendency are the mean, median, and mode, while measures of dispersion include range, variance, and standard deviation.
- Quart
This document contains a 25 question final exam for a statistics course. The questions cover a range of statistical topics including: [1] classifying variables, [2] separating variables into discrete vs continuous categories, [3] identifying quantitative vs qualitative variables, [4] determining which measure of central tendency to use, [5] the effect of adding or multiplying values on measures of central tendency, and [6] probability questions related to sampling, distributions, and experiments. Students are asked to calculate measures like mean, variance, and probability in several multi-part questions testing their understanding of fundamental statistical concepts.
The document provides information about the chi-square test, including its introduction by Karl Pearson, its applications and uses, assumptions, and examples. The chi-square test is used to determine if an observed set of frequencies differ from expected frequencies. It can be used to test differences between categorical data and expected values. Examples shown include a goodness of fit test comparing blood group frequencies to expected equal distribution, and a one-dimensional coin flipping example.
The document discusses measures of central tendency (mode, median, mean) and measures of dispersion (range, quartiles, interquartile range, variance, standard deviation) for both discrete and grouped data. It provides formulas and examples of calculating these statistics for different datasets including examples with raw data, frequency tables, histograms and ogives. It also discusses how to calculate the statistics from incomplete data by completing tables and calculating sums.
This document contains 19 multiple choice questions with solutions. The questions cover a range of math and logic topics such as geometry, percentages, remainders, and inequalities. For each question, the correct multiple choice answers are indicated based on working through the logic presented in the short solutions. This provides a review of different types of multiple choice questions and reasoning through solutions in brief explanations.
The document contains sample questions from various grade levels in mathematics. It includes questions ranging from easy, average to difficult levels of difficulty. The questions cover topics such as numbers, operations, algebra, geometry and measurement. There are over 100 questions in total, assessing skills like computations, word problems, ratios, proportions and other math concepts.
The document contains 33 quantitative comparison questions from the revised GRE. Each question provides information about quantities, relations, or geometric figures and asks which quantity is greater. The solutions show that for many questions, the relationship between the quantities cannot be determined from the given information, since different assumptions lead to different answers. The overall high-level summary is:
- The document contains 33 quantitative comparison questions from the GRE with information about quantities, relations, or figures
- Many questions cannot be definitively answered, as different assumptions produce different results
- The solutions demonstrate that the relationship between quantities is indeterminate in these cases
Revised GRE quantitative questions by Rejan Chitrakar. This ebook is sufficient to be able to tackle all types of revised gre questions. All the best for your GRE!!!
The document provides information about the Management Aptitude Test Afterschool Centre for Social Entrepreneurship and its PGPSE program. The 3 year program aims to develop social entrepreneurs and offers flexible specializations. It has no fees and uses case studies, workshops and projects to teach practical skills for entrepreneurship and social development.
The document provides information about the Management Aptitude Test Afterschool Centre for Social Entrepreneurship and its PGPSE program. The 3 year program aims to develop social entrepreneurs and offers flexible specializations. It has no fees and uses case studies, workshops and projects to teach practical skills for entrepreneurship and social development.
- A percentage is a fraction with a denominator of 100. Expressing values as percentages allows them to be represented as fractions out of 100.
- To convert a percentage to a decimal, divide the percentage rate by 100.
- Percentage changes can be used to calculate how quantities change when original values increase or decrease by a given percentage. Formulas are provided to calculate these changes.
- Several examples are given to demonstrate calculating percentages, converting between fractional and percentage representations, and using percentage changes to solve word problems.
The document provides information about various measures of central tendency including arithmetic mean, median, mode, geometric mean, and harmonic mean. It defines each measure and provides examples of calculating them using data from frequency distributions. The arithmetic mean is the most common average and is calculated by summing all values and dividing by the total number of values. The median is the middle value when values are arranged in order. The mode is the most frequent value. The geometric mean is calculated by taking the nth root of the product of n values. The harmonic mean gives the greatest weight to the smallest values and is used to average rates.
This document discusses measures of central tendency, including the mode, median, quartiles, and percentiles. It provides definitions and formulas for calculating each measure. The mode is defined as the value that occurs most frequently. The median divides the data set into two equal parts. Quartiles divide the data set into four equal parts, with the second quartile being the median. Percentiles divide the data set into 100 equal parts. Several examples are provided to demonstrate calculating the mode, median, quartiles, deciles and percentiles from data sets.
TCS Placement Papers (Aptitude questions with solution)meenatchi selvaraj
1. The document presents 14 math and logic problems with multiple choice answers. It includes problems about ratios, time, percentages, arithmetic, and logical reasoning.
2. One problem involves a two digit number where the number exceeds 4 times the sum of its digits by 3. Another asks about the capacity of workers to complete a job and calculates the time to complete it.
3. Several problems involve setting up equations from verbal descriptions to calculate unknown values like costs, ages, or distances based on given information and constraints. The last problem describes statements from people about their race placement and asks to determine who told the truth.
This document provides information about different types of averages:
- Simple average is the sum of all quantities divided by the total number of quantities. It is a measure of central tendency.
- Weighted average takes into account different weights or numbers of items. It is calculated by multiplying each value by its weight and dividing the sum by the total weight.
- Average speed can be calculated from distances traveled and times taken for different speeds. The average speed will be between the minimum and maximum individual speeds.
- Changes to averages due to adding or removing members from a group can be used to calculate properties of the added or removed members.
Grade 9: Mathematics Unit 1 Quadratic Equations and Inequalities.Paolo Dagaojes
This document provides an introduction to Module 1 of a mathematics learner's material on quadratic equations and inequalities. It includes 7 objectives that will be covered across 7 lessons. Lesson 1 will illustrate quadratic equations, Lesson 2 will cover solving quadratic equations using extracting square roots, factoring, completing the square, and the quadratic formula. Lesson 3 will discuss the nature of roots of quadratic equations. Lesson 4 will describe the relationship between coefficients and roots. Lesson 5 will solve equations transformable into quadratic equations. Lesson 6 will apply quadratic equations to problems. Lesson 7 will illustrate and solve quadratic inequalities and problems involving them. The document provides the structure and overview of the topics to be discussed in the module.
The document provides examples of advanced quantitative questions from the GMAT exam covering topics such as fractions and ratios, percentages, integers, powers, roots, algebra, and word problems. Each section presents 3 sample problems with multiple choice answers and explanations of the correct answers. The questions require setting up and solving equations, factoring expressions, evaluating expressions, approximations, properties of integers and exponents, and interpreting word problems algebraically.
This document contains a collection of study material and practice questions related to number systems, polynomials, and systems of linear equations for Class 10. There are over 50 questions covering topics like divisibility rules, factorization, rational and irrational numbers, operations on polynomials including finding zeros, and solving and graphing systems of linear equations. The questions range from straightforward applications of concepts to more complex multi-step problems and proofs.
Math for 800 06 statistics, probability, sets, and graphs-chartsEdwin Lapuerta
- The document contains information about statistics including measures of central tendency, dispersion, probability, and counting methods.
- It discusses topics like mean, median, mode, range, standard deviation, normal distribution, and the empirical rule.
- Probability concepts covered include independent and dependent events, the addition law of probabilities, and examples of calculating probabilities of various card draws.
- The final section discusses counting principles for permutations, combinations, and probability.
This document discusses measures of central tendency, including the arithmetic mean (AM) and median (Md). It provides formulas and steps to calculate AM and Md for both grouped and ungrouped data. For AM, the key points are that it is the sum of all values divided by the number of values, and it can be used to find the average of combined data sets. For Md, it divides the data into two equal parts and is the middle value when the number of observations is odd or the average of the two middle values when the number is even. The document also includes examples and practice questions to illustrate calculating AM and Md.
This document provides a summary of key statistical concepts and practice test questions. It covers topics such as types of variables, populations and samples, measures of central tendency and variation, frequency distributions, and levels of measurement. Several questions from a practice test on introductory statistics are presented and answered, involving calculations of mean, median, mode, variance, standard deviation, and interpreting frequency tables and distributions. Examples of different sampling methods and types of studies are also defined.
This document provides information about the t-test and chi-square test. It defines the t-test as a test used to compare the means of two samples when the population standard deviation is unknown. It lists the assumptions of the t-test and provides the formula. An example t-test problem and solution is given. Chi-square is introduced as a test used with categorical and numerical data to test for independence and goodness of fit. The chi-square test statistic, degrees of freedom, and hypothesis testing process are outlined. An example chi-square goodness of fit problem and solution is also provided.
This document provides an introduction to statistics and probability. It discusses key concepts such as data, levels of measurement, population and sampling, measures of central tendency and dispersion, and outliers. Some key points covered include:
- Statistics helps draw inferences about populations based on random samples.
- Data can be continuous or categorical and is important for understanding relationships and making predictions.
- There are different levels of measurement for data: nominal, ordinal, interval, and ratio.
- A population is the whole group, while a sample is a subset used to make inferences.
- Common measures of central tendency are the mean, median, and mode, while measures of dispersion include range, variance, and standard deviation.
- Quart
This document contains a 25 question final exam for a statistics course. The questions cover a range of statistical topics including: [1] classifying variables, [2] separating variables into discrete vs continuous categories, [3] identifying quantitative vs qualitative variables, [4] determining which measure of central tendency to use, [5] the effect of adding or multiplying values on measures of central tendency, and [6] probability questions related to sampling, distributions, and experiments. Students are asked to calculate measures like mean, variance, and probability in several multi-part questions testing their understanding of fundamental statistical concepts.
The document provides information about the chi-square test, including its introduction by Karl Pearson, its applications and uses, assumptions, and examples. The chi-square test is used to determine if an observed set of frequencies differ from expected frequencies. It can be used to test differences between categorical data and expected values. Examples shown include a goodness of fit test comparing blood group frequencies to expected equal distribution, and a one-dimensional coin flipping example.
The document discusses measures of central tendency (mode, median, mean) and measures of dispersion (range, quartiles, interquartile range, variance, standard deviation) for both discrete and grouped data. It provides formulas and examples of calculating these statistics for different datasets including examples with raw data, frequency tables, histograms and ogives. It also discusses how to calculate the statistics from incomplete data by completing tables and calculating sums.
The document provides an outline for a syllabus covering statistics topics including representation of data, measures of location and spread, probability, permutations and combinations, probability distributions, binomial distribution, discrete random variables, and the normal distribution. It includes definitions, formulas, examples of problems, and solutions for topics like stem-and-leaf diagrams, box-and-whisker plots, histograms, mean, median, standard deviation, probability rules, conditional probability, independent events, permutations, and binomial distribution. Sample problems and solutions illustrate how to apply statistical concepts to calculate probabilities and distributions.
The document provides an outline for a syllabus covering statistics topics including representation of data, measures of location and spread, probability, permutations and combinations, probability distributions, binomial distribution, discrete random variables, and the normal distribution. It includes definitions, formulas, examples of problems, and solutions for topics like stem-and-leaf diagrams, box-and-whisker plots, histograms, mean, median, standard deviation, probability rules, conditional probability, independent events, permutations, and binomial distribution. Sample problems and solutions illustrate statistical concepts and calculations.
This document provides an overview and introduction to an econometrics course. It discusses how econometrics can be used to estimate quantitative causal effects by using data and observational studies. Examples discussed include estimating the effect of class size on student achievement. The document outlines how the course will cover methods for estimating causal effects using observational data, with a focus on applications. It also reviews key probability and statistics concepts needed for the course, including probability distributions, moments, hypothesis testing, and the sampling distribution. The document presents an example analysis using data on class sizes and test scores to illustrate initial estimation, hypothesis testing, and confidence interval techniques.
quantitative aptitude, maths
applicable to
Common Aptitude Test (CAT)
Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defence Competitive Exams
L.I.C/ G. I.C Competitive Exams
Railway Competitive Exam
University Grants Commission (UGC)
Career Aptitude Test (IT Companies) and etc.
This document provides information about getting fully solved assignments for the summer 2015 semester for MCA students. It includes contact information to email or call for assistance with assignments in subjects like Probability and Statistics. Sample assignments are provided covering topics like probability, distributions, trend lines, and standard deviation. Students should contact the given email or phone number to get help with their MCA semester 4 assignments.
Learn How To Cal-tec (Calculator-Techniques).pptxleemarya17
This document contains techniques for solving various types of calculator problems:
1) It provides steps for solving equations, systems of equations, quadratic equations, cubic equations, and progression problems.
2) It discusses calculating mean, median, mode, and standard deviation for probability and statistics problems.
3) It explains combination, permutation, and other counting principles.
4) Additional sections cover remainder theorems, trigonometry, analytic geometry, volumes, and other mathematical concepts.
Dear students get fully solved assignments
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This document provides information about getting fully solved assignments from an assignment help service. It lists a contact email and phone number to send requests to along with details of 6 sample assignments covering subjects like probability, statistics, data analysis, and more. Students can send their semester and specialization to get solved assignments to help with their coursework.
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
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The document introduces econometrics and the use of data to answer economic questions. It discusses how economists study topics like the effect of class size on student achievement through observational data rather than experiments. The document then summarizes using California test score data to analyze the relationship between class size, measured by student-teacher ratio, and test scores. It finds a statistically significant difference in average test scores between districts with small versus large class sizes.
Questions Of Quantitative Aptitude Tests For Competitive ExaminationsDr. Trilok Kumar Jain
The document contains a collection of quantitative aptitude questions often asked in competitive exams. It provides the questions, explains the solutions, and includes links to additional practice resources on quantitative aptitude and entrepreneurship.
Questions Of Quantitative Aptitude Tests For Competitive Examinations
Descriptive statistics
1. Descriptive statistics
"Study little but study very thoroughly,
because it is thoroughness in work which pays in the long run."
PROBLEMS
2. Q1
If there are 7
observations
4,6,8,12,10,20,24,
then the sum of å ( x - x) =?
deviation of the
observations
from their AM is ?
3. Q2
If a variable assumes the values
1,2, 3 ... 5
with frequencies as
1, 2, 3 ... 5,
then what is the AM?
4. Q3
The average salary of a group of
unskilled workers is Rs.10000
and that of a group of
skilled workers is Rs.15,000.
If the combined salary is Rs.12000, then
what is the percentage of skilled workers?
5. Q4
The weighted arithmetic mean of the four
numbers
26, 128, 12 and 4 is 10.4.
If the weights of the first three numbers are
1, 3 and 4
respectively, find the weight of the
fourth number?
6. Q5
The weighted AM of
3, 5 and 10
with weights
x, y and z
respectively is known to be 8.
What is the weighted AM if the weights are
changed to 2x, 2y and 2z respectively?
7. Q6
The algebraic
sum of the deviations
of 25 observations measured from 45
is – 55
find the A.M. of the observations?
8. Q7
The weighted arithmetic mean of
first n natural numbers
whose weights are equal to the
corresponding numbers is equal to?
9. Q9
The average weight of the following frequency
distribution is 17.
Find the value of p
X 8 20 26 29
F 3 2 p 1
10. Q10
The mean age of a group of 50 persons was
found to be 48 Later, it was discovered
that age 40,34,56 was misread as 30,43,52
Then the correct mean is?
11. Q11
The numbers
3.2, 5.8, 7.9 and 4.5
have frequencies
x, x+2, x–3 and x+6
respectively, If the arithmetic mean is 4.876,
find the value of x?
12. Q13
What is the GM for the numbers
8, 24 and 40?
If A.M. = 25; H. M. = 9, then GM =?
Calculate geometric mean of the four
numbers
5,8,6,1
with frequency
3,2,4,1
13. Q14
If the AM of two unequal positive real nos
a and b (a>b)
be twice as that of its GM for two numbers
then the
ratio a : b ?
14. Q15
If there are two groups with
75 and 65
as harmonic means and containing
15 and 13
observation then find the
combined HM ?
15. Q16
An, aero plane flies from
A to B
at the rate of 500 km/hour and comes back
from B to A
at the rate of 700 km/hour.
The average speed of the aero plane is?
16. Q17
A motor car covered a distance of
50 miles
four times
The first time at 50 mph, the second at 20
mph, the third at 40 mph and the fourth
at 25 mph.
Calculate the average speed.
17. Q18
“MOI” travelled some distance by cycle at a
speed of 15 km per hour.
On return journey he travelled the same
distance at a speed of 10 km per hour.
What was his
average speed per hour during the entire
journey?
18. Q19
Find the Harmonic mean of the following
numbers: 1, 1 , 1 ,........, 1 .
2 3 n
Find the Harmonic mean of the following
numbers: 1 1 1
1, , ,......,
3 5 2n − 1
19. Q20
What is the H.M of the following data
relating to the age distribution of 72
persons?
Age (Year): 20 30 40
No. of people: 13 28 31
20. Q21
Find the H.M of the following data
Class Frequency
10 – 15 4
15 – 20 8
20 – 25 12
25 – 30 20
30 – 35 11
35 – 40 6
40 – 45 5
21. Q22
The median of the following observation
22,24,33,37,x+1,x+3,44,47,51,58
arranged in ascending order is 42
find x?
22. Q23
You are given below a certain statistical
distribution. Calculate the most suitable
average.
Value Frequency
Less than 100 40
100 – 200 89
200 – 300 148
300 – 400 64
400 and above 39
23. Q24
If x and y are related by
2x – ½y =10
and mode of x is known to be 7.5,
then the mode of y is?
24. Q25
For the given data find the three quartiles
23, 14, 24,
45, 23, 34,
43, 12, 34,
45, 23, 23,
45, 56, 43,
42
25. Q25
The average American spends $65.88 per
month dinning out (the Des Moines register).
a sample 25 of young adults provided the
following dining out expenditures( in dollars)
over the past month.
253 101 245 467 131 0 225 80
113 69 198 95 129 124 11 178
104 161 0 118 151 55 152 134 169
26. ANSWER THE FOLLOWING?
1. COMPUTE THE MEAN MEDIAN AND MODE.
2. CONSIDERING THE RESULTS ABOVE DO THESE
YOUNG SEEM TO SPEND ABOUT SAME AS AN
AVERAGE AMERICAN EATING OUT.
3. COMPUTE THE FIRST AND THIRD QUARTILE.
4. COMPUTE THE RANGE AND THE I.Q.R.
5. COMPUTE THE VARIANCE AND THE SATANDRAD
DEVIATION.
6. THE SKEWNESS MEASURE FOR THE DATA IS
-1.54?
7. CHECK THE ACCURACY OF THE ABOVE
STATEMENT.
27. Q26
Find the standard deviation of first n natural
numbers?
If the quartile DEVIATION is 30 and median
22, find the coefficient of quartile
deviation, assuming the distribution to be
symmetrical.
28. Q27
The quartile deviation of the following
distribution is:
Weights (Kg) No. of men
40 – 45 10
45 – 50 22
50 – 55 28
55 – 60 20
60 – 65 12
65 – 70 8
29. Q28
If the relation between x and y is 5y – 3x =10
and the mean deviation about mean for x
is 12, then the mean deviation of y about
mean is?
Karl Pearson coefficient of skewness is
0.32.
Its standard deviation is 6.5 & mean is 29.6,
find the mode and median?
30. Q29
What is the value of
mean deviation about mean
for the following observations?
50, 60, 50, 50, 60,
60, 60, 50, 50, 50,
60, 60, 60, 50.
31. Q30
The mean deviation
about mode
for the numbers
4/11, 6/11, 8/11,
9/11, 12/11, 8/11
If the SD of the 1st n natural numbers is 2,
then the value of n must be?
32. Q31
Prices of a particular commodity in five years
in two cities are given below. Find from the
data the city which had more stable prices
Prices in city A Prices in city B
20 10
22 20
19 18
23 12
26 15
33. Q32
What is the standard deviation from the following
data relating to the age distribution of 200
persons?
Age (Year): 20 30 40 50 60 70 80
No. of people:13 28 31 46 39 23 20
34. Q33
The mean and SD
of a sample of 100 observations
were calculated as 40 and 5.1 respectively
by a CA student who took one
observations as 50 instead of 40 by
mistake.
The correct value of SD would be?
35. Q34
The standard deviation calculated from a
set of 32 observations is 5.
If the sum of the observations is 80,
what is the
sum of the squares
of these observations?
36. Q35
For a group containing
100
observations,
the A.M. and S.D. were 8 and 10.
For 50 observations selected from these 100
observations the
A.M and S.D are 10 and 2 respectively.
Find the A.M. and S. D. of the other half.
37. Q36
Find the coefficient of variation of the
following data:
Marks No of Students
0 – 10 4
10 – 20 10
20 – 30 16
30 – 40 12
40 – 50 8
38. Q37
The following data relates to the salary of
workers of two factories
Factory A Factory B
No. of workers 80 110
Mean Rs 2320 Rs 2160
SD Rs 120 Rs 122
In which factory is variation in salary
more?
39. Q38
For 2 values of a variable x,
the mean and the standard deviation
are 10 and 2
respectively.
What are the values of x?
40. Q39
For a set of ungrouped values the following sums
are found:
N = 15,
å X = 480,
å X = 15735.
2
Find the mean and standard deviation
of the values.
41. Q40
The INTER QUARTILE RANGE of the following
distribution is:
Weights (Kg) No. of men
400–450 10
450–500 22
500–550 28
550–600 20
600–650 12
650–700 8
42. Q42
Wageweb conducts surveys of salary data and present
the summaries on its website. Assume the following
data come from a sample of annual salaries for 20
marketing executives (data are in thousands)
145,140,145,
173,116,127,
155,134,138,
114,951,621,271,
131,781,439,316,516,157
184
CALCULATE PEARSON COEFFICENT?
43. Q43
Find mean deviation and its coefficient for the
data
wages No of workers
0 – 1000 4
1000 – 2000 10
2000 – 3000 16
3000 – 4000 12
4000– 5000 8
44. Q45
Prove that the
standard deviation
calculated from two values
a and b
is equal to half of their difference
45. Q46
The following table gives the earned run averages (eras) for the
2002 season for the pitching staffs of the 16 baseball teams in
the national league.
Arizona 3.92 Milwaukee 4.73
Atlanta 3.13 Montreal 3.97
Chicago 4.29 New York 3.89
Colorado 5.20 Philadelphia 4.17
Cincinnati 4.27 Pittsburgh 4.23
Florida 4.36 St. Louis 3.70
Houston 4.00 San Diego 4.62
Los Angeles 3.69 San Francisco 3.54
46. CALCULATE
mean (eras)
median and mode
variance of the data
standard deviation and its coefficient
comment on skewness of the data
calculate I.Q.R
47. ANALYSE
You are given the data of a factory before and after the
settlement of industrial dispute.
comment on the gain or losses from the point of the
workers and the management
BEFORE AFTER
NO OF 2440 2359
WORKERS
MEAN WAGES 45.5 47.5
MEDIAN WAGES 49.0 45.0
STANDARD 12.0 10.0
DEVIATION
48. ANALYSE
From the data given below state Which series is more
consistent?
Variable Series A Series B
10-20 20 13
20-30 18 22
30-40 32 40
40-50 40 32
50-60 22 18
60-70 18 10