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. The mid-points are marked on the top of the rectangles of the histogram. These points are joined through a freehand smoothed curve as shown in the figure

Question 2

Prepare a histogram and a 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

Question 3

Draw the â€˜less thanâ€™ and â€˜more thanâ€™ ogives on the same graph paper from the given data:

 Weekly wages (â‚¹) No. of workers 0-20 20-40 40-60 60-80 80-100 10 20 40 20 10

Solution

(i) â€˜Less thanâ€™ method

 Weekly wages (â‚¹) C.F Less 20 Less 40 Less 60 Less 80 Less 100 10 30 70 90 100

(ii) â€˜More thanâ€™ method

 Weekly wages (â‚¹) C.F More than 0 – 100 More than 20 – 90 More than 40 – 70 More than 60 – 30 More than 0 – 10 10 30 70 90 100

Both â€˜less thanâ€™ and â€˜more thanâ€™ ogives based on the above data are presented in the following graph.

Question 4

Draw a histogram and a 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

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

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