This document discusses calculating the arithmetic mean of a data set. It provides examples of finding the mean goals scored by a hockey team and the mean number of times students bought lunch. The mean is calculated by summing all values and dividing by the total number of values. For data with frequencies, each value is multiplied by its frequency before summing. The document also reviews calculating the mean from frequency tables and lists of raw data values.
This document contains a lesson plan on measures of central tendency of ungrouped data for 7th grade mathematics. The lesson plan defines mean, median, and mode, and provides examples of calculating each. It includes an activity that challenges students to solve problems involving finding the mean, median, and mode of various data sets. The activity is meant to assess students' understanding of applying these measures of central tendency to real-world scenarios. The lesson concludes by having students practice defining and calculating measures of central tendency, and applying them to sample data sets and a real-life example.
This document provides information about differentiating arithmetic and geometric sequences. It begins with an introduction explaining the learning objectives are to identify sequences as arithmetic or geometric, differentiate between the two types of sequences, and provide examples of each. It then provides examples of arithmetic and geometric sequences with their common differences or ratios. The document features group and individual practice problems identifying sequences and their properties. It concludes with a two-column chart comparing the key differences between arithmetic and geometric sequences.
This document defines and explains several key statistical concepts:
- Statistics is the study of collecting, analyzing, and presenting quantitative data. It involves planning data collection through surveys and experiments.
- The mean is the average value of a data set, calculated by summing all values and dividing by the number of values.
- The median is the middle value when data is arranged in order. For even data sets, the median is the average of the two middle values.
- The mode is the most frequently occurring value in a data set.
- Standard deviation measures the variation or dispersion of data from the mean. It involves subtracting the mean from each value, squaring the differences, summing them, and taking the square
This document discusses various statistical measures used to summarize and describe data, including measures of central tendency (mean, median, mode) and measures of dispersion (range, variance, standard deviation). It provides definitions and examples of calculating each measure. Standardized scores like z-scores and t-scores are also introduced as ways to compare performance across different tests or distributions. Exercises are included for readers to practice calculating and interpreting these common descriptive statistics.
This document defines and explains various measures of spread for data sets, including range, interquartile range, mean deviation, variance, and standard deviation. It provides formulas to calculate each measure from discrete data sets and frequency tables. It also includes examples of problems calculating these measures from data sets and selecting the correct value of a measure.
This document defines and explains various measures of spread for data sets, including range, interquartile range, mean deviation, variance, and standard deviation. It provides formulas to calculate each measure from discrete data sets and frequency tables. Examples are given to demonstrate calculating measures such as standard deviation, variance, range, interquartile range, first and third quartiles, and median.
This document provides information about measures of central tendency including the mode, mean, and median. The mode is the data value that occurs most frequently in a data set. The mean is the average of the values, found by summing all values and dividing by the total number of data points. The median is the middle value when data points are arranged in order. Examples are given of calculating the mode, mean, and median from data sets presented in tables.
This document discusses calculating the arithmetic mean of a data set. It provides examples of finding the mean goals scored by a hockey team and the mean number of times students bought lunch. The mean is calculated by summing all values and dividing by the total number of values. For data with frequencies, each value is multiplied by its frequency before summing. The document also reviews calculating the mean from frequency tables and lists of raw data values.
This document contains a lesson plan on measures of central tendency of ungrouped data for 7th grade mathematics. The lesson plan defines mean, median, and mode, and provides examples of calculating each. It includes an activity that challenges students to solve problems involving finding the mean, median, and mode of various data sets. The activity is meant to assess students' understanding of applying these measures of central tendency to real-world scenarios. The lesson concludes by having students practice defining and calculating measures of central tendency, and applying them to sample data sets and a real-life example.
This document provides information about differentiating arithmetic and geometric sequences. It begins with an introduction explaining the learning objectives are to identify sequences as arithmetic or geometric, differentiate between the two types of sequences, and provide examples of each. It then provides examples of arithmetic and geometric sequences with their common differences or ratios. The document features group and individual practice problems identifying sequences and their properties. It concludes with a two-column chart comparing the key differences between arithmetic and geometric sequences.
This document defines and explains several key statistical concepts:
- Statistics is the study of collecting, analyzing, and presenting quantitative data. It involves planning data collection through surveys and experiments.
- The mean is the average value of a data set, calculated by summing all values and dividing by the number of values.
- The median is the middle value when data is arranged in order. For even data sets, the median is the average of the two middle values.
- The mode is the most frequently occurring value in a data set.
- Standard deviation measures the variation or dispersion of data from the mean. It involves subtracting the mean from each value, squaring the differences, summing them, and taking the square
This document discusses various statistical measures used to summarize and describe data, including measures of central tendency (mean, median, mode) and measures of dispersion (range, variance, standard deviation). It provides definitions and examples of calculating each measure. Standardized scores like z-scores and t-scores are also introduced as ways to compare performance across different tests or distributions. Exercises are included for readers to practice calculating and interpreting these common descriptive statistics.
This document defines and explains various measures of spread for data sets, including range, interquartile range, mean deviation, variance, and standard deviation. It provides formulas to calculate each measure from discrete data sets and frequency tables. It also includes examples of problems calculating these measures from data sets and selecting the correct value of a measure.
This document defines and explains various measures of spread for data sets, including range, interquartile range, mean deviation, variance, and standard deviation. It provides formulas to calculate each measure from discrete data sets and frequency tables. Examples are given to demonstrate calculating measures such as standard deviation, variance, range, interquartile range, first and third quartiles, and median.
This document provides information about measures of central tendency including the mode, mean, and median. The mode is the data value that occurs most frequently in a data set. The mean is the average of the values, found by summing all values and dividing by the total number of data points. The median is the middle value when data points are arranged in order. Examples are given of calculating the mode, mean, and median from data sets presented in tables.
This document provides a guide for students to work on at home about measures of central tendency for grouped and ungrouped data. It begins with conceptual explanations of mean, median, and mode for grouped data. Examples are provided to demonstrate calculating the mean, median, and mode for grouped data sets. Students are then asked to practice calculating these measures of central tendency for given data sets and answer multiple choice questions testing their understanding. The guide emphasizes visual forms of expression through worked examples and practice exercises for students to complete and submit.
This lesson teaches students about the relationship between division and subtraction. Students use tape diagrams to model division problems and represent them as repeated subtraction. They discover that if 12 is divided by x equals 4, then 12 can be written as a subtraction sentence where x is subtracted 4 times until reaching 0. The key relationship students learn is that the number of times the divisor is subtracted from the dividend is the same as the quotient. Students practice modeling more examples to strengthen their understanding of this important mathematical relationship.
The document provides information about measures of central tendency for ungrouped data, including definitions and examples of mean, median, and mode. It discusses calculating the mean by summing all values and dividing by the number of observations. Median is defined as the middle value when data is ranked from lowest to highest. Mode is the most frequently occurring value. Examples are provided to demonstrate calculating each measure for sample data sets.
The document discusses measures of central tendency and summarization of data. It defines measures of central tendency as single values that describe the overall level of a data set and represent the center of the distribution. The most common measures are the mean, median, and mode. It provides formulas for calculating the arithmetic mean for samples and populations. It also introduces summation notation as a shorthand for writing sums and discusses properties of summation. Examples are provided to demonstrate calculating the mean for raw data, ungrouped data, and grouped data. The document also discusses calculating a combined mean for multiple data sets.
The document discusses measures of central tendency and summarization of data. It defines measures of central tendency as single values that describe the overall level of a data set and represent the center of the distribution. The most common measures are the mean, median, and mode. It provides formulas for calculating the arithmetic mean for samples and populations. It also introduces summation notation as a shorthand for writing sums and discusses properties of summation. Examples are provided to demonstrate calculating the mean for raw data, ungrouped data, and grouped data. The document also discusses calculating a combined mean for multiple data sets.
Presentation 5 quantity magnitude and numeration january 2jcsmathfoundations
Β
1. The document provides information about teaching quantity, magnitude, and numeration to students. It includes definitions of key concepts, early indicators of difficulties with these topics, and assessments to diagnose students' skills.
2. The research section discusses concrete, representational, and abstract approaches to teaching concepts like subitizing. It recommends hands-on materials and strategies to develop number sense.
3. The classroom application section gives examples of linking physical quantities to numerical representations using tools like number lines and algebra blocks.
This document contains a lesson on calculating and interpreting measures of central tendency (mean, median, mode) and spread (range) from data sets. It includes definitions of these statistical terms, examples of calculating them for various data sets, and discussions of how outliers impact the mean, median and mode. The key lesson is on identifying which measure of central tendency (mean, median or mode) best describes a particular data set and why.
This document contains a lesson on calculating and interpreting measures of central tendency (mean, median, mode) and range from data sets. It includes definitions of these terms, examples of finding the mean, median, mode and range of various data sets, and discussions of how outliers impact the measures of central tendency. The lesson emphasizes that different measures may be best suited for different data distribution shapes and the presence of outliers.
This document contains a lesson on mean, median, mode, and range. It includes definitions of these statistical terms, examples of calculating them for different data sets, and discussions of how outliers can affect the values. The lesson emphasizes that the mean, median, and mode should be selected based on which measure best describes the distribution of the actual data.
The document provides information about a first grade math unit on subtraction from The Moffatt Girls math curriculum. It includes the standards covered in Unit 3, which focus on subtraction within 20, properties of operations, fluency with addition and subtraction within 10, the meaning of the equal sign, and solving word problems. It describes the unit's NO PREP practice pages and math centers to provide practice and application of skills in an engaging way. Pictures show examples of the practice pages and centers being used in the classroom.
ANOVA, or analysis of variance, is a statistical method used to compare the means of three or more groups. It works by partitioning the total variance in a dataset into variance within groups and variance between groups. ANOVA can determine if there are statistically significant differences between the group means but cannot specify which groups differ. If ANOVA rejects the null hypothesis, further tests are needed to determine which groups differ. The example demonstrates using ANOVA to compare the effectiveness of three different teaching methods by analyzing students' math achievement scores between the groups.
This document provides an overview of a lesson on dividing fractions and mixed numbers. It includes examples and exercises for students to practice dividing fractions by mixed numbers. Students are asked to convert mixed numbers into fractions before dividing. They then use equations to calculate the quotients. The lesson concludes with an exit ticket where students divide fractions and mixed numbers on their own.
The document defines mode as the data value that occurs most frequently in a data set. It defines mean as the average of the values, calculated by summing all values and dividing by the total number of values. It provides examples of calculating mean from raw data sets and frequency tables. It also provides word problems calculating mean, median, and mode from data sets and using relationships between variable values.
This document provides a scheme of work for teaching mathematics at Stage 8. It includes 3 units per term that each focus on a different topic area like number, algebra, or data handling. Each unit lists learning objectives, example activities, and resources for teaching key concepts. It also provides problem-solving activities that can be incorporated across each unit to develop problem-solving skills. The purpose is to illustrate one way the curriculum could be planned and delivered over the school year in 3 terms with flexibility for teachers.
This document provides a daily lesson log for a 7th grade mathematics class covering operations on integers. The lesson covers addition, subtraction, multiplication, and division of integers over four sessions. Each session includes objectives, content, learning resources, procedures, and an evaluation. The procedures describe activities to motivate students, present examples, discuss concepts, and apply the skills to word problems. The goal is for students to understand and be able to perform the four fundamental operations on integers.
1. The document describes how to construct a sampling distribution of sample means from a population. It provides steps to list all possible samples, compute the mean of each sample, and construct a frequency distribution of the sample means.
2. It also gives steps to find the mean and variance of the sampling distribution, which includes computing the population mean and variance, determining possible samples, computing sample means, and calculating the mean and variance of the sampling distribution.
3. Examples are provided to demonstrate constructing sampling distributions of sample means and finding the mean and variance of the distributions using populations with different sample sizes.
Measures of Central Tendency Final.pptAdamManlunas
Β
Here is the summary of the data set:
Mean = 30
Median = 27
Mode = No mode (each value occurs only once)
The outlier is 118. Removing the outlier, the mean would decrease to 28 and the median would remain 27. The median best describes the data set as it is not greatly affected by outliers and most of the data is clustered around 27.
A measure of central tendency (also referred to as measures of center or central location) is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or center of its distribution. The are some limitations to using the mode. In some distributions, the mode may not reflect the centre of the distribution very well. When the distribution of retirement age is ordered from lowest to highest value, it is easy to see that the centre of the distribution is 57 years, but the mode is lower, at 54 years.
This document outlines a learning plan for a 9th grade mathematics class on patterns and algebra for the first quarter. It includes standards, competencies, lessons, activities and a performance task on solving quadratic equations using different algebraic methods. Students will compare the methods and apply them to design classroom fixtures using measurements and equations. The plan provides instruction, practice and assessments to help students master solving quadratic equations and transfer their knowledge to real-world problems.
This document contains a unit project for a 4th grade math unit on multiplication and division. It includes an end of unit assessment, a performance based assessment, and a student self-assessment. The end of unit assessment contains multiple choice, short answer, and word problems to measure student learning. The performance assessment involves using a globe to measure distances between cities and converting those measurements to estimated mile distances. The student self-assessment asks students to rate their own understanding of key math skills from the unit. Accommodations for students with disabilities are also described.
SUMMATIVE TEST HEALTH QUARTER 1 - GENDER AND HUMAN SEXUALITYGeeyaMarielAntonio
Β
This document contains a summative test to assess understanding of concepts related to gender, sexuality, and sexually transmitted infections. It includes multiple choice, matching, true/false, and enumeration questions. The multiple choice section covers topics like gender, sexually transmitted diseases, and decision making. The matching questions match dimensions of personality and characteristics of healthy sexuality to definitions. The true/false section addresses statements about sexually transmitted infections. Finally, the enumeration sections lists life skills to improve sexual health and the steps of the DECIDE model for decision making.
1. The document discusses several key concepts related to gender and human sexuality including gender, which refers to social norms for how men and women act; sexuality, which refers to being male or female; and gender roles, which are influenced by culture.
2. It also discusses the concept of sexuality towards oneself and others, including self-love, self-knowledge, self-confidence, self-respect, and self-expression.
3. The document provides examples of masculine and feminine gender roles and lists several life skills that can be used to improve sexual health, such as assessing health, decision making, communication, and goal setting.
This document provides a guide for students to work on at home about measures of central tendency for grouped and ungrouped data. It begins with conceptual explanations of mean, median, and mode for grouped data. Examples are provided to demonstrate calculating the mean, median, and mode for grouped data sets. Students are then asked to practice calculating these measures of central tendency for given data sets and answer multiple choice questions testing their understanding. The guide emphasizes visual forms of expression through worked examples and practice exercises for students to complete and submit.
This lesson teaches students about the relationship between division and subtraction. Students use tape diagrams to model division problems and represent them as repeated subtraction. They discover that if 12 is divided by x equals 4, then 12 can be written as a subtraction sentence where x is subtracted 4 times until reaching 0. The key relationship students learn is that the number of times the divisor is subtracted from the dividend is the same as the quotient. Students practice modeling more examples to strengthen their understanding of this important mathematical relationship.
The document provides information about measures of central tendency for ungrouped data, including definitions and examples of mean, median, and mode. It discusses calculating the mean by summing all values and dividing by the number of observations. Median is defined as the middle value when data is ranked from lowest to highest. Mode is the most frequently occurring value. Examples are provided to demonstrate calculating each measure for sample data sets.
The document discusses measures of central tendency and summarization of data. It defines measures of central tendency as single values that describe the overall level of a data set and represent the center of the distribution. The most common measures are the mean, median, and mode. It provides formulas for calculating the arithmetic mean for samples and populations. It also introduces summation notation as a shorthand for writing sums and discusses properties of summation. Examples are provided to demonstrate calculating the mean for raw data, ungrouped data, and grouped data. The document also discusses calculating a combined mean for multiple data sets.
The document discusses measures of central tendency and summarization of data. It defines measures of central tendency as single values that describe the overall level of a data set and represent the center of the distribution. The most common measures are the mean, median, and mode. It provides formulas for calculating the arithmetic mean for samples and populations. It also introduces summation notation as a shorthand for writing sums and discusses properties of summation. Examples are provided to demonstrate calculating the mean for raw data, ungrouped data, and grouped data. The document also discusses calculating a combined mean for multiple data sets.
Presentation 5 quantity magnitude and numeration january 2jcsmathfoundations
Β
1. The document provides information about teaching quantity, magnitude, and numeration to students. It includes definitions of key concepts, early indicators of difficulties with these topics, and assessments to diagnose students' skills.
2. The research section discusses concrete, representational, and abstract approaches to teaching concepts like subitizing. It recommends hands-on materials and strategies to develop number sense.
3. The classroom application section gives examples of linking physical quantities to numerical representations using tools like number lines and algebra blocks.
This document contains a lesson on calculating and interpreting measures of central tendency (mean, median, mode) and spread (range) from data sets. It includes definitions of these statistical terms, examples of calculating them for various data sets, and discussions of how outliers impact the mean, median and mode. The key lesson is on identifying which measure of central tendency (mean, median or mode) best describes a particular data set and why.
This document contains a lesson on calculating and interpreting measures of central tendency (mean, median, mode) and range from data sets. It includes definitions of these terms, examples of finding the mean, median, mode and range of various data sets, and discussions of how outliers impact the measures of central tendency. The lesson emphasizes that different measures may be best suited for different data distribution shapes and the presence of outliers.
This document contains a lesson on mean, median, mode, and range. It includes definitions of these statistical terms, examples of calculating them for different data sets, and discussions of how outliers can affect the values. The lesson emphasizes that the mean, median, and mode should be selected based on which measure best describes the distribution of the actual data.
The document provides information about a first grade math unit on subtraction from The Moffatt Girls math curriculum. It includes the standards covered in Unit 3, which focus on subtraction within 20, properties of operations, fluency with addition and subtraction within 10, the meaning of the equal sign, and solving word problems. It describes the unit's NO PREP practice pages and math centers to provide practice and application of skills in an engaging way. Pictures show examples of the practice pages and centers being used in the classroom.
ANOVA, or analysis of variance, is a statistical method used to compare the means of three or more groups. It works by partitioning the total variance in a dataset into variance within groups and variance between groups. ANOVA can determine if there are statistically significant differences between the group means but cannot specify which groups differ. If ANOVA rejects the null hypothesis, further tests are needed to determine which groups differ. The example demonstrates using ANOVA to compare the effectiveness of three different teaching methods by analyzing students' math achievement scores between the groups.
This document provides an overview of a lesson on dividing fractions and mixed numbers. It includes examples and exercises for students to practice dividing fractions by mixed numbers. Students are asked to convert mixed numbers into fractions before dividing. They then use equations to calculate the quotients. The lesson concludes with an exit ticket where students divide fractions and mixed numbers on their own.
The document defines mode as the data value that occurs most frequently in a data set. It defines mean as the average of the values, calculated by summing all values and dividing by the total number of values. It provides examples of calculating mean from raw data sets and frequency tables. It also provides word problems calculating mean, median, and mode from data sets and using relationships between variable values.
This document provides a scheme of work for teaching mathematics at Stage 8. It includes 3 units per term that each focus on a different topic area like number, algebra, or data handling. Each unit lists learning objectives, example activities, and resources for teaching key concepts. It also provides problem-solving activities that can be incorporated across each unit to develop problem-solving skills. The purpose is to illustrate one way the curriculum could be planned and delivered over the school year in 3 terms with flexibility for teachers.
This document provides a daily lesson log for a 7th grade mathematics class covering operations on integers. The lesson covers addition, subtraction, multiplication, and division of integers over four sessions. Each session includes objectives, content, learning resources, procedures, and an evaluation. The procedures describe activities to motivate students, present examples, discuss concepts, and apply the skills to word problems. The goal is for students to understand and be able to perform the four fundamental operations on integers.
1. The document describes how to construct a sampling distribution of sample means from a population. It provides steps to list all possible samples, compute the mean of each sample, and construct a frequency distribution of the sample means.
2. It also gives steps to find the mean and variance of the sampling distribution, which includes computing the population mean and variance, determining possible samples, computing sample means, and calculating the mean and variance of the sampling distribution.
3. Examples are provided to demonstrate constructing sampling distributions of sample means and finding the mean and variance of the distributions using populations with different sample sizes.
Measures of Central Tendency Final.pptAdamManlunas
Β
Here is the summary of the data set:
Mean = 30
Median = 27
Mode = No mode (each value occurs only once)
The outlier is 118. Removing the outlier, the mean would decrease to 28 and the median would remain 27. The median best describes the data set as it is not greatly affected by outliers and most of the data is clustered around 27.
A measure of central tendency (also referred to as measures of center or central location) is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or center of its distribution. The are some limitations to using the mode. In some distributions, the mode may not reflect the centre of the distribution very well. When the distribution of retirement age is ordered from lowest to highest value, it is easy to see that the centre of the distribution is 57 years, but the mode is lower, at 54 years.
This document outlines a learning plan for a 9th grade mathematics class on patterns and algebra for the first quarter. It includes standards, competencies, lessons, activities and a performance task on solving quadratic equations using different algebraic methods. Students will compare the methods and apply them to design classroom fixtures using measurements and equations. The plan provides instruction, practice and assessments to help students master solving quadratic equations and transfer their knowledge to real-world problems.
This document contains a unit project for a 4th grade math unit on multiplication and division. It includes an end of unit assessment, a performance based assessment, and a student self-assessment. The end of unit assessment contains multiple choice, short answer, and word problems to measure student learning. The performance assessment involves using a globe to measure distances between cities and converting those measurements to estimated mile distances. The student self-assessment asks students to rate their own understanding of key math skills from the unit. Accommodations for students with disabilities are also described.
SUMMATIVE TEST HEALTH QUARTER 1 - GENDER AND HUMAN SEXUALITYGeeyaMarielAntonio
Β
This document contains a summative test to assess understanding of concepts related to gender, sexuality, and sexually transmitted infections. It includes multiple choice, matching, true/false, and enumeration questions. The multiple choice section covers topics like gender, sexually transmitted diseases, and decision making. The matching questions match dimensions of personality and characteristics of healthy sexuality to definitions. The true/false section addresses statements about sexually transmitted infections. Finally, the enumeration sections lists life skills to improve sexual health and the steps of the DECIDE model for decision making.
1. The document discusses several key concepts related to gender and human sexuality including gender, which refers to social norms for how men and women act; sexuality, which refers to being male or female; and gender roles, which are influenced by culture.
2. It also discusses the concept of sexuality towards oneself and others, including self-love, self-knowledge, self-confidence, self-respect, and self-expression.
3. The document provides examples of masculine and feminine gender roles and lists several life skills that can be used to improve sexual health, such as assessing health, decision making, communication, and goal setting.
The 1st homeroom PTA meeting agenda included discussing following up on school forms and birth certificates, reviewing school policies on uniforms and haircuts, and electing SPTA officers. The agenda also covered the schedule for the first quarter examination, upcoming school activities like a film showing and intramurals, and the dates for modular classes. Other topics were use of tumblers in the school premises.
Perfect squares and cubes are numbers that can be expressed as powers of 2 and 3 respectively. Examples are provided of numbers expressed as perfect squares and cubes. The power rule for exponents is reviewed. Students are asked to express given numbers and expressions in exponential form with powers of 3. Factorization identities are provided for the difference and sum of two cubes, and examples are worked through of factoring expressions involving the difference and sum of cubes.
This document defines the six trigonometric ratios (sine, cosine, tangent, cosecant, secant, and cotangent) using the sides of a right triangle. It explains that the ratios relate the lengths of sides of a right triangle to an angle of the triangle. Abbreviations are provided for each ratio. Examples are given to demonstrate calculating the ratios for different angles. The document also provides historical examples of how trigonometry was used to calculate the Earth's radius and heights of mountains.
Here are the probabilities of the compound events in the assignment:
1a) The probability of drawing an 8 or 16 is 2/20 = 0.1
1b) The probability of drawing a 5 or a number divisible by 3 is 11/20
1c) The probability of drawing an odd number or a number divisible by 3 is 17/20
1d) The probability of drawing a number divisible by 3 or divisible by 4 is 19/20
2) The probability of drawing a violet marble or a pink marble is 40/52
3) The probability that a randomly selected household has a rabbit or a dog is 1824/4820 + 720/4820 - 252/48
This document provides examples and explanations for adding and subtracting radical expressions. It begins with examples of simplifying individual radical expressions and combining like radicals. It then demonstrates how to add or subtract similar radicals by combining like terms. For dissimilar radicals, it explains to factor the radicands using perfect squares before applying the product property of radicals and simplifying. Several practice problems are provided for adding, subtracting, and evaluating radical expressions, as well as finding the perimeter of shapes using radicals.
This document contains slides summarizing key properties of equality in mathematics, including the reflexive, symmetric, transitive, and substitution properties. It also covers the addition, subtraction, multiplication, and distributive properties of equality and provides examples of applying these properties to angles and numbers. Additional slides define mathematical concepts like midpoints, angles, angle bisectors, perpendicular lines, and supplementary/complementary angles.
Side-Angle-Side Triangle Postulate
Angle-Side-Angle Triangle Postulate
Angle-Side-Angle Triangle Postulate
Corresponding Parts of Congruent Triangles are Congruent CPCTC
Two triangles are congruent if and only if their corresponding parts are congruent to each other.
Grade 8 Mathematics Third Quarter
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Β
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
This presentation was provided by Steph Pollock of The American Psychological Associationβs Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
Main Java[All of the Base Concepts}.docxadhitya5119
Β
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
Executive Directors Chat Leveraging AI for Diversity, Equity, and InclusionTechSoup
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Letβs explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Β
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
Assessment and Planning in Educational technology.pptxKavitha Krishnan
Β
In an education system, it is understood that assessment is only for the students, but on the other hand, the Assessment of teachers is also an important aspect of the education system that ensures teachers are providing high-quality instruction to students. The assessment process can be used to provide feedback and support for professional development, to inform decisions about teacher retention or promotion, or to evaluate teacher effectiveness for accountability purposes.
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
How to Add Chatter in the odoo 17 ERP ModuleCeline George
Β
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
4. How to compute
MEAN?
Add all the
scores and
divide it by
the number of
scores
π₯ =
π₯
π
Example: 4, 3, 5,
9, 4
π₯ =
4 + 3 + 5 + 9 + 4
5
π₯ =
25
5
π₯ = 5
5. π₯ = 4
5, 4, 2, 3, 7, 3
What if you are task to compute
for the mean of the following
scores?
π₯ = 5
8, 6, 4, 2
π₯ = 3
1, 3, 5, 1, 4, 4,
3
9. At the end of the lesson, you are expected to:
ο Define mean deviation
ο Familiarize the steps in solving mean deviation of
ungrouped data
ο Compute the mean deviation of ungrouped data
ο Identify real-world situations pertaining to mean
deviation
Lesson Objectives:
10. Mean Deviation
Where:
β ππ· β is the mean deviation
β π₯ β is the individual score
β π₯Μ β is the mean
β π β is the number of scores or
cases
β |π₯βπ₯Μ | β is the absolute value of the
deviation from the mean
- the average distance between each data
value and the mean
ππ· =
π₯ β π₯
π
11. 1. Find the mean for all cases
2. Find the absolute difference between each
score and the mean
3. Find the sum of the differences and divide it
by the number of scores or cases
STEPS IN COMPUTING THE
MEAN DEVIATION
12. Step 1: Find the mean
for all cases
π₯ =
π₯
π
Example 1:
Find the mean deviation
of the following number of
hours spent by students in
social media per day.
No. of hours spent: 6, 4, 3,
6, 8, 10, 12, 6, 10, 5
Scores (x) π π β π
6
4
3
6
8
10
12
6
10
5
π₯ β π₯
7
7
7
7
7
7
7
7
7
7
14. Step 3: Find the sum of the
differences and divide it by
the number of scores or
cases
π΄π« =
π₯ β π₯
π
Scores (x) π π β π
6 7 1
4 7 3
3 7 4
6 7 1
8 7 1
10 7 3
12 7 5
6 7 1
10 7 3
5 7 2
π₯ β π₯ = 24
π΄π« =
24
10
π΄π« = π. π
15. Step 1: Find the mean for all cases π₯ =
π₯
π
Step 2: Find the absolute difference between each score and the
mean (fill this on the table)
Step 3: Find the sum of the differences and divide it by the
number of scores or cases
π΄π« =
π₯ β π₯
π
Example 2:
Solve for the mean deviation of the Mathematics test
scores obtained as follows: 40, 30, 20, 10.
16. Step 1: Find the mean for all cases π₯ =
π₯
π
Step 2: Find the absolute difference between each score and the
mean (fill this on the table)
Step 3: Find the sum of the differences and divide it by the
number of scores or cases
π΄π« =
π₯ β π₯
π
Example 3:
In a survey made by Teacher Geeya, five students of Grade 7 Bravery
revealed the number of hours they spend browsing the internet on
weekends:
3, 5, 6, 4, 7
Find the mean deviation of the data presented.
22. Aevin asked the shoesize of 10 of
his friends and obtained the
following scores:
9, 8, 3, 5 ,5, 6, 4, 5, 8, 7
Compute the mean deviation.
23. Assignment:
A teacher gave a 10-item
test in remedial Mathematics
to eight students and
obtained the following
scores:
3, 4, 4, 5, 5, 5, 7, 7
Compute the mean
deviation.