In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:
114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.
Draw the histogram of the frequency distribution (taking one of the class intervals as 50−100).

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Solution

We first prepare the frequency table for the class intervals 50 $-$ 100, 100 $-$ 150,..., 200 $-$ 250, as shown below:

Money Tally Amount Frequency

50 $-$ 100 98 1

100 $-$ 150 114, 108, 100, 101, 109, 117, 119, 126, 131, 136, 143, 118 12

150 $-$ 200 156, 169, 182, 195 4

200 $-$ 250 207, 219, 235 3

The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking the class intervals as bases and the corresponding frequencies as heights, the rectangles can be drawn to obtain the histogram of the given frequency distribution. The histogram is shown below:

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Question 103

In a hypothetical sample of 20 people, the amount of money (in Rs thousands) with each was found to be as follows :
114, 108, 100, 98, 101, 109, 117, 119, 126, 131,
136, 143, 156, 169, 182, 195, 207, 219, 235, 118
Draw a histogram of the frequency distribution, taking one of the class intervals as 50-100.

Q. In a sample investigation, 20 persons are found to have the following money in their pockets as office expenses. Arrange the data in the ascending and descending orders:

114,	108,	100,	98,	101,	109,	117,	119,	121,	136
131,	136,	143,	156,	169,	182,	195,	207,	219,	255.

In a hypothetical sample of 20 people the amounts of money with them were found to be as follows: 114,108,100,98,101,109,117,119,126,131,136,143,156,169,182,195,207,219,235,118. Draw the histogram of the frequency distribution (taking one of the class intervals as 50-100).

Q. The heights of

25

children in centimetre are given below:

174, 168, 110, 142, 156, 119, 110, 101, 190, 102, 190, 111, 172, 140,

136, 174, 128, 124, 136, 147, 168, 192, 101, 129, 114

.
Prepare a frequency distribution table, taking the size of the class interval
as

20

, and answer the following:
(i) Mention the class intervals of highest and lowest frequency.
(ii) What does the frequency

6

corresponding to class interval

(160 - 180)

indicate?
(iii) Find out the class mark (or midpoint) of

(140 - 160)

.
(iv) What is the range of heights?

Q. Construct the histogram for the following grouped frequency distribution.

Class intervals	Frequency
0 - 35	70
35 - 50	15
50 - 60	20
60 - 100	40

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Money	Tally Amount	Frequency
50 $-$ 100	98	1
100 $-$ 150	114, 108, 100, 101, 109, 117, 119, 126, 131, 136, 143, 118	12
150 $-$ 200	156, 169, 182, 195	4
200 $-$ 250	207, 219, 235	3

In a hypothetical sample of 20 people the amounts of money with them were found to be as follows: 114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118. Draw the histogram of the frequency distribution (taking one of the class intervals as 50−100).

In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:
114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.
Draw the histogram of the frequency distribution (taking one of the class intervals as 50−100).