- The document discusses different statistical measures including the mean, median, and mode.
- It provides examples of calculating the mean, median, and mode from sets of data. For example, it calculates the mean number of days students were absent from school based on attendance records.
- The examples demonstrate how to determine the measure, possible limitations, and common uses of each statistical measure.
This PPT will clarify your all doubts in Arithmetic Progression.
Please download this PPT and if any doubt according to this PPT, please comment , then i will try to solve your problem.
Thank you :)
This PPT will clarify your all doubts in Arithmetic Progression.
Please download this PPT and if any doubt according to this PPT, please comment , then i will try to solve your problem.
Thank you :)
PROJECT (PPT) ON PAIR OF LINEAR EQUATIONS IN TWO VARIABLES - CLASS 10mayank78610
THIS A PROJECT BEING MADE BY INFORMATION COLLECTED FROM CLASS 10 MATHS NCERT BOOK.
THANK YOU FOR SEEING MY PROJECT ... I THINK THIS MIGHT HELP YOU IN YOUR HOLIDAY HOMEWORK PROJECTS .
Statistics for Class 10 CBSE - MathematicsLet's Tute
This is a booklet on Statistics for the students of CBSE Class 10.
Statistics plays an important role in different fields as it helps in understanding the situations and making predictions for future. All this prediction and strategies are purely based on observations and availability of data.
This Booklet specially designed on Statistics will help you in learning the following topics:
· Measures of the Central tendency for grouped and ungrouped data.
1) Mean
2) Mode
3) Median also
· Graphical representation of cumulative frequency more than type-ogive and less than type-ogive.
To give you an overview of this chapter:
It starts with formulae and steps to calculate mean, mode and median for grouped and ungrouped data.
It provides related MCQs with their answers,
a set of solved problems with their logical solutions,
Some question for practice with their final answers given at the end and
Some important points/facts about the topic are also covered.
What more if you ask?
Well, we are providing this special feature where you can view our explanatory videos just by scanning the QR which will take you directly to our YouTube page.
Areas related to Circles - class 10 maths Amit Choube
This a ppt which is based on chapter circles of class 10 maths it is a very good ppt which will definitely enhance your knowledge . it will also clear all concepts and doubts about this chapter and its topics
Trigonometry Presentation For Class 10 StudentsAbhishek Yadav
Presentation on Trigonometry. A topic for class 10 Students. Has every topic covered for students wanting to make a presentation on Trigonometry. Hope this will help you...........
PROJECT (PPT) ON PAIR OF LINEAR EQUATIONS IN TWO VARIABLES - CLASS 10mayank78610
THIS A PROJECT BEING MADE BY INFORMATION COLLECTED FROM CLASS 10 MATHS NCERT BOOK.
THANK YOU FOR SEEING MY PROJECT ... I THINK THIS MIGHT HELP YOU IN YOUR HOLIDAY HOMEWORK PROJECTS .
Statistics for Class 10 CBSE - MathematicsLet's Tute
This is a booklet on Statistics for the students of CBSE Class 10.
Statistics plays an important role in different fields as it helps in understanding the situations and making predictions for future. All this prediction and strategies are purely based on observations and availability of data.
This Booklet specially designed on Statistics will help you in learning the following topics:
· Measures of the Central tendency for grouped and ungrouped data.
1) Mean
2) Mode
3) Median also
· Graphical representation of cumulative frequency more than type-ogive and less than type-ogive.
To give you an overview of this chapter:
It starts with formulae and steps to calculate mean, mode and median for grouped and ungrouped data.
It provides related MCQs with their answers,
a set of solved problems with their logical solutions,
Some question for practice with their final answers given at the end and
Some important points/facts about the topic are also covered.
What more if you ask?
Well, we are providing this special feature where you can view our explanatory videos just by scanning the QR which will take you directly to our YouTube page.
Areas related to Circles - class 10 maths Amit Choube
This a ppt which is based on chapter circles of class 10 maths it is a very good ppt which will definitely enhance your knowledge . it will also clear all concepts and doubts about this chapter and its topics
Trigonometry Presentation For Class 10 StudentsAbhishek Yadav
Presentation on Trigonometry. A topic for class 10 Students. Has every topic covered for students wanting to make a presentation on Trigonometry. Hope this will help you...........
This is an example of a logical step on a statistical investigation. A group of students as research team came up with a problem statement, did data gathering, presented and analyzed the data and then interpreted the results...
I heard about this contest from this website, as I have had uploaded my Cyprus education presentation months ago.
It's about statistical methods.
Data analysis,Grouped-Ungrouped data,Mean,Median,Mode,Percentile,Standard Deviation,Variance,Frequency Distribution Graphs,Corelation
Frequency distribution, central tendency, measures of dispersionDhwani Shah
The presentation explains the theory of what is Frequency distribution, central tendency, measures of dispersion. It also has numericals on how to find CT for grouped and ungrouped data.
Median
Middle value in a distribution is known as Median.
Calculation of median.
1. Calculation of median in a series of individual observations or Calculation of median for ungrouped data
2. Calculation of median for grouped data
a) Calculation of median in a discrete series.
b) Calculation of median in a continuous series.
c) Calculation of median in unequal class intervals.
d) Calculation of median in open-end classes.
Merits and Demerits of Median.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
5. Statistics is the study of the collection, organization,
analysis, interpretation, and presentation of data. It
deals with all aspects of this, including the planning
of data collection in terms of the design
of surveys and experiments.
A statistician is someone who is particularly well
versed in the ways of thinking necessary for the
successful application of statistical analysis. Such
people have often gained this experience through
working in any of a wide number of fields. There is
also a discipline called mathematical statistics that
studies statistics mathematically.
6. The mean is the average of the numbers: a calculated
"central" value of a set of numbers.
There are three methods to calculate out mean and these
are:-
7. LIMITATION:- Disadvantage of the mean: The major
disadvantage, which does not always occur, is the fact that a mean
can be dramatically affected by outliers in the set. For example, if
we find the mean of the set of numbers 1, 2, 3, 4, 5 we get 3.
However, when we dramatically alter one number in the set and
find the average again, the mean is quite different. For example 1,
2, 3, 4, 20 has a mean of 6.
Uses:- the mean to describe the middle of a set of data
that does not have an outlier.
8. Example:-
A class teacher has the following absentee
record of 40 students of a class for the whole
term. Find the mean number of days a student
was absent.
Number of
days
0 − 6 6 − 10 10 − 14 14 − 20 20 − 28 28 −
38
38 − 40
Number of
students
11 10 7 4 4 3 1
9. To find the class mark of each interval, the following
relation is used.
Taking 17 as assumed mean (a), di and fidi are calculated as
follows.
Solution:-
Number of days Number of
students fi
xi di = xi − 17 fidi
0 − 6 11 3 − 14 − 154
6 − 10 10 8 − 9 − 90
10 − 14 7 12 − 5 − 35
14 − 20 4 17 0 0
20 − 28 4 24 7 28
28 − 38 3 33 16 48
38 − 40 1 39 22 22
Total 40 − 181
10. From the table, we obtain
Therefore, the mean number of days is 12.48 days for which a
student was absent.
11. The "mode" is the value that occurs most
often. If no number is repeated, then there is
no mode for the list.
12. Limitation:-Could be very far from the actual middle of the
data. The least reliable way to find the middle or average of
the data.
Uses:- the mode when the data is non-numeric or when
asked to choose the most popular item.
13. Example:-
The given distribution shows the number of runs
scored by some top batsmen of the world in one-
day international cricket matches.
Find the mode of the data.
Runs scored Number of batsmen
3000 − 4000 4
4000 − 5000 18
5000 − 6000 9
6000 − 7000 7
7000 − 8000 6
8000 − 9000 3
9000 − 10000 1
10000 − 11000 1
14. Solution:-
From the given data, it can be observed that the maximum
class frequency is 18, belonging to class interval 4000 −
5000.
Therefore, modal class = 4000 − 5000
Lower limit (l) of modal class = 4000
Frequency (f1) of modal class = 18
Frequency (f0) of class preceding modal class = 4
Frequency (f2) of class succeeding modal class = 9
Class size (h) = 1000
Therefore, mode of the given data is 4608.7 run
15. The "median" is the "middle"
value in the list of numbers. To
find the median, your numbers
have to be listed in numerical
order, so you may have to
rewrite your list first.
16. LIMITATION: If the gap between some numbers is large,
while it is small between other numbers in the data, this can
cause the median to be a very inaccurate way to find the
middle of a set of values.
Uses:- the median to describe the middle of a set of data
that does have an outlier.
17. Example:-
A life insurance agent found the following data for distribution
of ages of 100 policy holders. Calculate the median age, if
policies are given only to persons having age 18 years
onwards but less than 60 year.
Age (in years) Number of policy holders
Below 20 2
Below 25 6
Below 30 24
Below 35 45
Below 40 78
Below 45 89
Below 50 92
Below 55 98
Below 60 100
18. Solution:-
Here, class width is not the same. There is no requirement of
adjusting the frequencies according to class intervals. The given
frequency table is of less than type represented with upper class
limits. The policies were given only to persons with age 18 years
onwards but less than 60 years. Therefore, class intervals with
their respective cumulative frequency can be defined as below.
Age (in years)
Number of policy
holders (fi)
Cumulative
frequency (cf)
18 − 20 2 2
20 − 25 6 − 2 = 4 6
25 − 30 24 − 6 = 18 24
30 − 35 45 − 24 = 21 45
35 − 40 78 − 45 = 33 78
40 − 45 89 − 78 = 11 89
45 − 50 92 − 89 = 3 92
50 − 55 98 − 92 = 6 98
55 − 60 100 − 98 = 2 100
Total (n)
19. From the table, it can be observed that n = 100.
Cumulative frequency (cf) just greater than is 78, belonging to
interval 35 − 40.
Therefore, median class = 35 − 40
Lower limit (l) of median class = 35
Class size (h) = 5
Frequency (f) of median class = 33
Cumulative frequency (cf) of class preceding median class = 45
Therefore, median age is 35.76 years.
20. Also known as an ogive, this
is a curve drawn by plotting
the value of the first class
on a graph. The next plot is
the sum of the first and
second values, the third plot
is the sum of the first,
second, and third values, and
21. Example:-
During the medical check-up of 35 students of a class, their
weights were recorded as follows:
Weight (in kg) Number of students
Less than 38 0
Less than 40 3
Less than 42 5
Less than 44 9
Less than 46 14
Less than 48 28
Less than 50 32
Less than 52 35
Draw a less than type ogive for the given data. Hence obtain the
median weight from the graph verify the result by using the
formula.
22. Weight (in kg)
upper class limits
Number of students
(cumulative frequency)
Less than 38 0
Less than 40 3
Less than 42 5
Less than 44 9
Less than 46 14
Less than 48 28
Less than 50 32
Less than 52 35
Solution:-
The given cumulative frequency distributions of less than type are
Taking upper class limits on x-axis and their respective cumulative
frequencies on y-axis, its ogive can be drawn as follows.
23. Here, n = 35
So, = 17.5
Mark the point A whose ordinate is 17.5 and its x-coordinate is
46.5. Therefore, median of this data is 46.5.
24. It can be observed that the difference between two consecutive
upper class limits is 2. The class marks with their respective
frequencies are obtained as below.
25. Weight (in kg) Frequency (f) Cumulative
frequency
Less than 38 0 0
38 − 40 3 − 0 = 3 3
40 − 42 5 − 3 = 2 5
42 − 44 9 − 5 = 4 9
44 − 46 14 − 9 = 5 14
46 − 48 28 − 14 = 14 28
48 − 50 32 − 28 = 4 32
50 − 52 35 − 32 = 3 35
Total (n) 35
The cumulative frequency just greater than is 28,
belonging to class interval 46 − 48.
Median class = 46 − 48
Lower class limit (l) of median class = 46
26. Frequency (f) of median class = 14
Cumulative frequency (cf) of class preceding median class = 14
Class size (h) = 2
Therefore, median of this data is 46.5.
Hence, the value of median is verified.