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

Highest sample =235

Lowest sample =98

Range =235-98=137

Now frequency distribution table will be as under:

$\begin{matrix} Class Intervals & Frequency 50 - 100 & 1 100 - 150 & 12 150 - 200 & 4 200 - 250 & 3 \end{matrix}$

We represent class intervals along x-axis and frequency along y-axis. Taking suitable intervals, we construct a rectangles as shown in the figure. This is the required histogram.

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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 departmental stores, the prices of articles were noted as follows (Amount in Rs.)

\begin{matrix} 125, & 200, & 375, & 110, & 175, & 225, & 250, & 350, & 150, & 190, & 210, & 315, \\ 275, & 300, & 175, & 190, & 220, & 340, & 160, & 270, & 305, & 140, & 260, & 180, \\ 170, & 220, & 120, & 330, & 130, & 180, & 205, & 235, & 145, & 290, & 345 . \end{matrix}

Draw a histogram by taking proper class intervals.

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

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