CBSE 10th Class Mathematics
Past year question paper
Year 2020
SET 1, Code Number – 30/5/1
Question Number – 40 [b]
Find the mean and the median of the numbers of wickets taken
mean and median problem
distribution
Deepak BoraNewbie
The distribution given below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean and the median of the numbers of wickets taken.
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To find median,
Number of workers CI No. of bowlers (f) CF
20 – 60 7 7
60 – 100 5 12
100 – 140 16 28
140 – 180 12 40
180 – 220 2 42
220 – 260 3 45
N = 45, > N/2 ➔ > 22.5
Median class: 100 – 140
F = 16 h = 40
CF = 12 l = 100
Median = l + { { [ ( N/2 ) – CF ] / f } × h }
Median = 100 + { { [ ( 45/2 ) – 12 ] / 164 } × 1040 }
Median = 126.25