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.

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Solution

Before preparing histogram of the given data, we will prepare the frequency distribution table.

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Q. 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).

Question 4 (i)
The heights of 50 students, measured to the nearest centimeters, have been found to be as follows:
$\begin{matrix} 161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 & 150 & 151 162 & 164 & 171 & 165 & 158 & 154 & 156 & 172 & 160 & 170 153 & 159 & 161 & 170 & 162 & 165 & 166 & 168 & 165 & 164 154 & 152 & 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 & 154 & 159 \end{matrix}$
(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc.

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. 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. 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.

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