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Question

45 students across the different levels of Intelligent Quotient are distributed in the grouped table given below.

IQ 60-70 70-80 80-90 90-100 100-110 110-120 120-130
Students 3 6 5 9 11 7 2

Draw the frequency polygon for the data.


A
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B
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C
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D
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Solution

The correct option is D
We have to first calculate the class marks of all the classes.
Class intervals
(Ages)
Frequency
(No. of patients)
Class marks Points
50-60 0 55 (55,0)
60-70 3 65 (65,3)
70-80 6 75 (75,6)
80-90 5 85 (85,5)
90-100 9 95 (95,9)
100-110 11 105 (105,11)
110-120 7 115 (115,7)
120-130 2 125 (125,2)
130-140 0 135 (135,0)

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

Take class marks on X-axis and frequency on Y-axis.
Now plot the points on the graph.

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