Question

# Draw a frequency polygon from the following data by using (i) histogram, and (ii) without using histogram: Daily Wages (in ₹) 10−15 15−20 20−25 25−30 30−35 Number of Workers 40 70 60 80 60

Solution

## Using a histogram, a frequency polygon is obtained by joining the top mid-points of the rectangles of the histogram. When frequency polygon is to be drawn without a histogram then, we simply plot the mid-points of the class intervals with their respective frequencies. The curve obtained on joining the points is the frequency polygon.   Daily Wages Mid Point No. of Workers 10 − 15 $\frac{10+15}{2}=12.5$ 40 15 − 20 $\frac{10+15}{2}=17.5$ 70 20 − 25 $\frac{10+15}{2}=22.5$ 60 25 − 30 $\frac{10+15}{2}=27.5$ 80 30 − 35 $\frac{10+15}{2}=32.5$ 60   EconomicsTR Jain (2018)Standard XI

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