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RD Chapter 23 Graphical Representation of Statistical Data Ex 23.3 Solutions

Question - 1 : - Construct a histogram for the following data:

Answer - 1 : -

Histogram is given below:

Question - 2 : - The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.

Answer - 2 : -

Histogram and frequency polygon is given here.
Draw midpoints Of each rectangle at the top and join them to get a frequency polygon.

Question - 3 : -
The time taken, in seconds, to solve a problem by each of 25 pupils is as follows:
16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 64, 52, 20
(a) Construct a frequency distribution for these data, using a class interval of 10 seconds.
(b) Draw a histogram to represent the frequency distribution.

Answer - 3 : -

Lowest observation = 16,
Highest observation = 64
 
Below is given the histogram

Question - 4 : - Draw, in the same diagram, a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in a period of 2 years:

Answer - 4 : -


Question - 5 : -
The following is the distribution of total household expenditure (in Rs.) of manual worker in a city:
 
Draw a histogram and a frequency polygon representing the above data.

Answer - 5 : -

Here is given histogram and frequency polygon.

Question - 6 : -
The following table gives the distribution of IQ’s (intelligence quotients) of 60 pupils of class V in a school:
 
Draw a frequency polygon for the above data.

Answer - 6 : -

Now plot the (mid point, frequency) on the graph and join them to get a frequency polygon.

Question - 7 : - Draw a histogram for the daily earnings of 30 drug stores in the following table:

Answer - 7 : -

Hisotgram is given below:

Question - 8 : -
The monthly profits (in t) of 100 shops are distributed as follows:
 
Draw a histogram for the data and show the frequency polygon for it.

Answer - 8 : -

Histogram and frequency polygon is given below:

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