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Question

Construct a histogram from the following distribution of the height of students in a class VIII-E.

Height in cm (Class Marks) 120 130 140 150 160 170
No. of student 8 11 8 4 2 2


A
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D
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Solution

The correct option is B
First, we have to calculate the class interval from the class marks.

Difference between the two successive classes = h = 130 - 120 = 10.

If x is the class marks then, lower and upper boundary of every class is x - h2 and x + h2
Class marks
(Ages)
Frequency
(No. of students)
Class intervals
120 8 115 - 125
130 11 125 - 135
140 8 135 - 145
150 4 145 - 155
160 2 155 - 165
170 2 165 - 175

Take suitable scale,
On X-axis 1 division = 1 class interval
On Y-axis 1 division = 2 students

Now plot the bar in the graph with respect to the class interval.

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