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Mastering Statistics: Unveiling the Power of Data Analysis

High school math that covers Statistics in detail - Unveiling the Power of Data Analysis and Inference

Created byLakshmi Narayana

Last updated 6/2023

English

What you'll learn

Mean of Grouped Data
Mode of Grouped Data
Median of Grouped Data
Graphical Representation of Cumulative Frequency Distribution
Median from cumulative frequency curve/Ogive curve.
At the end of the course, students will not only have learned about the topics in detail but also be able to solve various problems based on them.

Course content

14 sections • 71 lectures • 8h 34m total length

Introduction8:13
Q 12:58
Find the mean of first five odd multiples of 5.
Q 22:21
If the mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, find the value of x.
Q 33:36
If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean?
Q 43:50
The mean of the marks secured by 15 students of section A of class X is 40, that of 25 students of section B is 50 and that of 20 students of section C is 60. Find the combined mean of the marks of students of three sections of class X.
Test your understanding
Home Assignment

Introduction4:14
Method of Calculating Mean of Grouped Data by Direct Method
Q 14:27
The marks obtained by 30 students of Class X of a certain school in a Mathematics paper consisting of 100 marks are presented in table below. Find the mean of the marks obtained by the students.

Marks obtained (xi) 10 20 36 40 50 56 60 70 72 80 88 92 95
Number of students (fi) 1 1 3 4 3 2 4 4 1 1 2 3 1
Q 26:19
The table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states and union territories (U.T.) of India. Find the mean percentage of female teachers by Direct method.

Percentages of female teacher 15 - 25 25 - 35 35 - 45 45 - 55 55 - 65 65 - 75 75 - 85
Number of states/U.T. 6 11 7 4 4 2 1
Q 35:10
If the mean of the following frequency distribution is 24, find the value of p.
Class 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50
Frequency 3 4 p 3 2
Test your understanding
Home Assignment

Introduction3:51
Mean of Grouped Data by Assumed Mean Method
Q 18:02
The table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states and union territories (U.T.) of India. Find the mean percentage of female teachers by all the three methods discussed in this section.
Percentages of female teacher 15 - 25 25 - 35 35 - 45 45 - 55 55 - 65 65 - 75 75 - 85
Number of states/U.T. 6 11 7 4 4 2 1
Q 24:39
For the following distribution, calculate mean by using direct assumed mean method.
Class interval 1 – 4 4 – 9 9 – 16 16 – 27
Frequency 6 12 26 20
Q 34:42
Find the mean of the following frequency distribution using a suitable method:
Class 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70
Frequency 25 40 42 33 10
Test your understanding
Home Assignment

Introduction4:40
Mean of Grouped Data by Step Deviation Method
Q 16:55
The table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states and union territories (U.T.) of India. Find the mean percentage of female teachers by Step Deviation Method.

Percentages of female teacher 15 - 25 25 - 35 35 - 45 45 - 55 55 - 65 65 - 75 75 - 85
Number of states/U.T. 6 11 7 4 4 2 1
Q 27:04
The distribution below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean number of wickets by choosing a suitable method. What does the mean signify?
Number of wickets 20 - 60 60 - 100 100 - 150 150 – 250 250 – 350 350 - 450
Number of bowlers 7 5 16 12 2 3
Q 36:38
The mean of the following distribution is 31.4. Determine the missing frequency x.
Class 0 - 10 10 -20 20 -30 30 -40 40 -50 50 - 60
Frequency 5 x 10 12 7 8
Test your undertsanding
Home Assignment

Introduction7:22
Mode of Grouped Data
Q 11:33
The wickets taken by a bowler in 10 cricket matches are as follows:
2 6 4 5 0 2 1 3 2 3
Find the mode of the data.
Q 23:53
A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in ahousehold:
Family size 1 – 3 3 – 5 5 – 7 7 - 9 9 - 11
Number of families 7 8 2 2 1
Find the mode of this data.
Q 34:13
Following frequency distribution shows the daily expenditure on milk of 30 households in a locality:
Daily expenditure on milk (in Rs) 0 - 30 30 -60 60 -90 90 -120 120-150
Number of households 5 6 9 6 4
Find the mode for the above data.
Q 45:16
On Sports Day of a school, agewise participation of students is shown in the following distribution:
Age(in years) 5-7 7-9 9-11 11-13 13-15 15-17 17-19
Number of students x 15 18 30 50 48 x
Find the mode of the data. Also, find the missing frequencies when sum of frequencies is 181.
Q 54:10
The mode of the following data is 36. Find the missing frequency x in it.
Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 8 10 x 16 12 6 7
Test your understanding
Home Assignment

Introduction7:29
Median of ungrouped &Grouped Data
Q 12:10
Find the median of the first ten prime numbers.
Q 22:17
The median of the observations 21, 24, 27, 30, (x – 1), (x + 1), 35, 38, 48 and 50 arranged in ascending order is 33. Then, find the value of x.
Q 32:06
Find the median of the following data.
Marks obtained 20 29 28 42 19 35 51
Number of students 3 4 5 7 9 2 3
Q 41:52
Find the unknown values in the following table :
Class Interval Frequency Cumulative Frequency
0 - 10 5 5
10 - 20 7 x1
20 - 30 x2 18
30 - 40 5 x3
40 - 50 x4 30
Test your understanding
Home Assignment

Introduction2:19
Median for Grouped Data& Missing frequency
Q 15:44
The weekly expenditure of 500 families is tabulated below:
Weekly Expenditure (Rs) Number of families
0-1000 150
1000-2000 200
2000-3000 75
3000-4000 60
4000-5000 15
Find the median expenditure.
Q 26:35
A survey regarding the heights (in cm) of 51 girls of Class X of a school was conducted and the following data was obtained:
Height (in cm)
Number of girls
Less than 140
Less than 145
Less than 150
Less than 155
Less than 160
Less than 165
4
11
29
40
46
51
Find the median height.
Q 34:56
Find the median of the following data :
Profit (in lakh of rupee) Number of shops
More than or equal to 5 30
More than or equal to 10 28
More than or equal to 15 16
More than or equal to 20 14
More than or equal to 25 10
More than or equal to 30 7
More than or equal to 35 3
Q 45:20
The median of the following data is 525. Find the values of x and y, if the total frequency is 100.
Class interval
Frequency
0 – 100
100 – 200
200 – 300
300 – 400
400 – 500
500 – 600
600 – 700
700 – 800
800 – 900
900 - 1000
2
5
X
12
17
20
Y
9
7
4
Test your understanding
Home Assignment

Introduction2:21
Relationship between Mean, Median and Mode
Q 12:41
Find the mean of the data using an empirical formula when it is given that mode is 50.5 and median is 45.5.
Q 22:21
If the median of a series exceeds the mean by 3, find by what number the mode exceeds its mean?
Q 32:16
If the median of a series exceeds the mean by 3, find by what number the mode exceeds its mean?
Q 46:30
Recently the half-yearly examination was conducted in DAV public school. The mathematics teacher maintains a record of the marks of 100 students. On the basis of the recorded data of the marks obtained in Mathematics, the histogram is given below:

On the basis of the above histogram, answer the following questions:
1. Identify the modal class from the given graph.
2. Find the mode of the following distribution of marks obtained by the students in an examination.
Given the mean of the above distribution is 53, using empirical relationship estimate the value of its median.
Test your understanding
Home Assignment

Introduction5:43
Graphical Representation of Cumulative Frequency Distribution:
Less than Type O give
Q 16:57
The marks scored by 750 students in an examination are given in the form of a frequency distribution table:
Marks Number of students
600 – 640 16
640 – 680 45
680 – 720 156
720 – 760 284
760 – 800 172
800 – 840 59
840 – 880 18
Prepare a cumulative frequency table of less than type and draw an o give.
Q 27:10
The following distribution gives the daily income of 50 workers of a factory
Daily income (in Rs) 200-250 250-300 300 - 350 350-400 400-450 450-500
Number of workers 10 5 11 8 6 10
Convert the distribution to a 'less than type' cumulative frequency distribution and draw its ogive. Hence obtain the median of daily income.
Q 36:05
In annual day of a school, age-wise participation of students is shown in the following frequency distribution:
Age of student (in years) 5-7 7-9 9-11 11-13 13-15 15-17 17-19
Number of students 20 18 22 25 20 15 10
Draw a less than type’ ogive for the above data and from it find the median age.
Test your understanding
Home Assignment

Introduction3:44
Graphical Representation of Cumulative Frequency Distribution:
More than Type Ogive
Q 14:47
Following distribution shows the marks obtained by a class of 100 students
Marks 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70
Frequency 10 15 30 32 8 5
Draw a 'more than' ogive for the above data.
Q 25:19
In an orchard, the numbers of apples on trees are given below :
Number of apples more
than or
equal
to 50 more
than or
equal
to 60 more
than or
equal
to 70 more
than or
equal
to 80 more
than or
equal
to 90 more
than or
equal
to 100 more
than or
equal
to 110
Number of trees 60 55 39 29 10 6 2
Draw a 'more than type' ogive and hence obtain median from the curve.
Q 38:50
The annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution :
Profit (₹ in lakhs) Number of shops (frequency)
More than or equal to 5
More than or equal to 10
More than or equal to 15
More than or equal to 20
More than or equal to 25
More than or equal to 30
More than or equal to 35 30
28
16
14
10
7
3
Draw both ogives for the data above. Hence obtain the median profit.
Test your understanding
Home Assignment

Requirements

Basic elementary math knowledge.
Each chapter is inbuilt with prerequisite knowledge classes where the child gets immense knowledge and a clear understanding of the chapters.

Description

This course is carefully designed to explain various applications of Statistics .
It has 71 lectures spanning more than eight and half hours of on-demand videos that are divided into 10 sessions. The course is divided into a simplified day-by-day learning schedule.
Each topic is divided into simple sessions and explained extensively by solving multiple questions. Each session contains a detailed explanation of the concept.
An online test related to the concept for immediate assessment of understanding.
Session-based daily home assignments with a separate key. The students are encouraged to solve practice questions and quizzes provided at the end of each session.
This course will give you a firm understanding of the fundamentals and is designed in a way that a person with little or no previous knowledge can also understand very well.
It covers 100% video solutions of the NCERT exercises , with selected NCERT exemplars and R D Sharma.
Our design meets the real classroom experience by following classroom teaching practices. We have designed this course by keeping in mind all the needs of students and their desire to become masters in math. This course is designed to benefit all levels of learners and will be the best gift for board-appearing students. Students love these easy methods and explanations. They enjoy learning maths and never feel that maths is troublesome.

Topics covered in the course:

Mean of Grouped Data
Mode of Grouped Data
Median of Grouped Data
Graphical Representation of Cumulative Frequency Distribution
Median from cumulative frequency curve/Ogive curve.

With this course you'll also get:

Perfect your mathematical skills on Statistics.
A Udemy Certificate of Completion is available for download.

Feel free to contact me with any questions or clarifications you might have.

I can't wait for you to get started on mastering the real number systems.

I look forward to seeing you on the course! :)

Benefits of Taking this Course:

On completion of this course, one will have detailed knowledge of the chapter and be able to easily solve all the problems, which can lead to scoring well in exams with the help of explanatory videos ensure complete concept understanding.

Downloadable resources help in applying your knowledge to solve various problems.

Quizzes help in testing your knowledge. In short, one can excel in math by taking this course.

Who this course is for:

This course has been designed for students of Grade 10th CBSE, ICSE, SSC, GCSE, IGCSE, SAT, ACT, GRE, and other board-appearing students.
These are the people whose jobs require them to solve Statistical -related problems.
Students studying for the public or other competitive examinations as well as job aspirants.
Home-school parents are looking for extra support with the fundamentals.
Anyone interested in revising or learning the basics of mathematics should.
Students in junior high and high school/secondary schools.
Anyone who wants to proficient mathematics and the solving different real life situations on Statistics well.
Anyone who wants to study math for fun after taking a break from school.
It will also benefit schools who wish to run classes in the absence of a teacher and make learning fun for their students.
It will also benefit teachers and schools who wish to improve their teaching skills and make learning fun for their students.
For 11th, 9th, and 8th grade students, this will help as a bridge course.

Mastering Statistics: Unveiling the Power of Data Analysis

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Course content

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Session 104 lectures • 23min

Requirements

Description

Who this course is for: