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).

Open in App

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:

Suggest Corrections

Similar questions

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. Construct the histogram for the following grouped frequency distribution.

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

Q. Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:

\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}

Make a grouped frequency distribution table for this data, taking class width as 5 and one of the class intervals as 5- 10.

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

Class intervals	Frequency
0-35	42
35-50	30
50-60	20
60-100	48

Q. The marks obtained by

36

students in a test in statistics (out of

50

) are as below.

3511535452331402113152047484234434533371113271812373938161318

5414743

Construct a frequency distribution table with equal class intervals, one of them being

10 - 20

(

20

is not included)

Join BYJU'S Learning Program

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).