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Question

The following data were acquired in a study of diabetic patients.

Ages 10-20 20-30 30-40 40-50 50-60
No. of patients 7 19 11 9 1

Construct a frequency polygon for the data given.

A
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C
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Solution

The correct option is A
We have to first calculate the class marks of the all the classes.
Class intervals
(Ages)
Frequency
(No. of patients)
Class marks Points
0-10 0 5 (5,0)
10-20 7 15 (15,7)
20-30 19 25 (25,19)
30-40 11 35 (35,11)
40-50 9 45 (45,9)
50-60 1 55 (55,1)
60-70 0 65 (65,0)

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

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

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