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Q.Construct a frequency polygon from the following data.
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50
No. of students | 8 | 18 | 35 | 25 | 14

Himachal HpboseHPBOSE Himachal Class 11 (Commerce) 2024Subjective· 3mImportance★★★★★est
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Plot class mid-points against frequencies and join them with straight lines to form the frequency polygon.

A frequency polygon is a line graph of a frequency distribution, obtained by plotting the frequency of each class against its mid-point (class mark) and joining the plotted points by straight lines.

Step 1 — Find the mid-point of each class:

ClassMid-pointFrequency
0-1058
10-201518
20-302535
30-403525
40-504514

Step 2 — Take mid-points on the X-axis and frequency on the Y-axis; plot the five points (5, 8), (15, 18), (25, 35), (35, 25), (45, 14). …

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