An Inter House Cricket Match was Organized by a School. Distribution of runs made by the Students is Given Below. Find the Median runs Scored | Bzziii.com

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An inter house cricket match was organized by a school. Distribution of runs made by the students is given below. Find the median runs scored.

Runs scored0-2020-4040-6060-8080-100
Number of
students		46534




Runs scoredFrequencyCumulative Frequency
0-2044
20-40610
40-60515
60-80318
80-100422

Total frequency (N) = 22

⇒ `"N"/2` = 11

So, 40-60 is the median class

⇒ `l+\frac{(\frac{N}{2})-cf}{f}\times h`

⇒ `40+\frac{11-10}{5}\times20`

⇒ 44 runs

Therefore, the median runs scored is 44

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