T.R. Jain and V.K. Ohri Solutions Class 11 Statistics Economics Chapter 7 - Frequency Diagrams, Histograms, Polygon and Ogive

T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 7 – Frequency Diagrams, Histograms, Polygon and Ogive is regarded as an important concept to be studied thoroughly by the students. Here, we have provided T.R. Jain and V.K. Ohri Solutions for Class 11.

Board CBSE
Class Class 11
Subject Statistics for Economics
Chapter Chapter 7
Chapter Name Frequency Diagrams, Histograms, Polygon and Ogive
Number of questions solved 05
Category T.R. Jain and V.K. Ohri

Chapter 7 – Frequency Diagrams, Histograms, Polygon and Ogive cover below-mentioned concepts

  • Ogive or cumulative frequency curve
  • Histogram and frequency polygon
  • Cumulative frequency table

T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 7 – Frequency Diagrams, Histograms, Polygon and Ogive

Question 1

Make a frequency curve of the following data.

Age (Years) 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
No of Residents 150 300 500 800 1,000 900 400 100

Solution

The given data set is first converted into a histogram. Mid-points o the top of the rectangles of the histogram are marked. These points are joined through a freehand smoothed curve, as given below.

Frequency Curve

Question 2

Prepare histogram and frequency polygon from the following data.

Marks 0-10 10-20 20-30 30-40 40-50 50-60
No of Students 5 8 15 11 6 4

Solution

histogram and frequency polygon

Question 3

Draw the ‘less than’ and ‘more than’ ogive on the same graph paper from the data given below.

Weekly wages (₹) No of workers
0-20

20-40

40-60

60-80

80-100

10

20

40

20

10

Solution

(i) ‘Less than’ method

Weekly wages (₹) C.F
Less 20

Less 40

Less 60

Less 80

Less 100

10

30

70

90

100

(ii) ‘More than’ method

Weekly wages (₹) C.F
Less 20

Less 40

Less 60

Less 80

Less 100

10

30

70

90

100

Both ‘less than’ and ‘more than’ ogives based on the above data are presented in the following graph.

‘less than’ and ‘more than’ Ogives

Question 4

Draw histogram and frequency polygon for the following distribution.

Age (Years) 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
No of Residents 30 40 60 100 70 40 30 20

Solution

Number of residents corresponding to different age group

Number of residents corresponding to different age group

Question 5

Draw a histogram, frequency polygon, and frequency curve of the following data.

Marks 0-20 20-40 40-60 60-80 80-100
No of Students 40 51 64 38 7

Solution

Cumulative Frequency table

'less than’ and ‘more than’ Ogives

Stay tuned to BYJU’S for more T.R. Jain and V.K. Ohri solutions, question papers, sample papers, syllabus and Commerce notifications.

Leave a Comment

Your email address will not be published. Required fields are marked *