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Question

The following table gives the distribution of the average weekly wages of 800 workers in a factory. Calculate the median for the data given below.
Wages
( in hundreds)
20252530303535404045455050555560
No. of persons 50 70 100 180 150 120 70 60

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Solution

Wages

No. of persons(fi)

Cumulative Frequency (c.f.)

20-25

50

50

25-30

70

120

30-35

100

220(c)

35-40

180(f)

400

40-45

150

550

45-50

120

670

50-55

70

740

55-60

60

800=n

n2=400

median=l+hf×(n2c)

l=35;h=5;f=180;c=220

median=35+5180×(400220)

=40

Therefore, median =40


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