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04/07/2021 10:53 am
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The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Run Scored - Number of Batsman
3000-4000 → 4
4000-5000 → 18
5000-6000 → 9
6000-7000 → 7
7000-8000 → 6
8000-9000 → 3
9000-10000 → 1
10000-11000 → 1
Find the mode of the data.
1 Answer
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04/07/2021 10:54 am
Modal class = 4000 – 5000,
l = 4000,
class width (h) = 1000
fm = 18, f1 = 4 and f2 = 9
Mode Formula:
Mode = l + [(fm-f1)/(2fm-f1-f2)]×h
Substitute the values
Mode = 4000 + ((18 - 4)/(36 - 4 - 9)) × 1000
Mode = 4000 + (14000/23) = 4000 + 608.695
Mode = 4608.695
Mode = 4608.7 (approximately)
Thus, the mode of the given data is 4608.7 runs