statistics class 11
Answers
Class Frequency Cumulative frequency
0-10 6 6
10-20 8 14
20-30 16 30
30-40 20 50
40-50 12 62
50-60 8 70
N = 70
Median= l + (N/2 - cf) / f * h ; where l = lower limit of median class
cf = cumulative frequency of previous class
f = frequency of median class
h = class width
N÷2 = 70÷2
= 35. 35th item lies in the class 30 - 40.
Therefore, l = 30, cf = 30, f = 20, h = 10
Median = 30 + ( 35-30)/20 * 10
= 30 + 5/20 * 10
= 30 + 50/20
= 30 + 2.5
∴ Median = 32.5
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