Question

Wages(rs): 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
No.of workers: 20 45 85 160 70 55 35 30
Find number if workers getting wages between rs 22and rs 58

Answer 1

Answer:

Class interval Frequency Cumulative frequency

15 – 25 8 8

25 – 35 10 18

35 – 45 15 33(f)

45 – 55 25 58

55 – 65 40(f) 28

65 – 75 20 38

75 – 85 15 183

85 – 95 7 140

N = 140

From the question, N = 140

So, N/ 2 = 140/ 2 = 70

From the data table, it is seen that the cumulative frequency which is just greater than N/ 2 is 98.

Now, the median class is 55 – 65 and

f = 40,

L = 55,

F = 58, and

h = 65 – 55 = 10

Now, using the median formula

Median = L+N2−Ff×h

= 55+70–5840×10

∴ Median = 55 + 3 = 58

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