T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for 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

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