The Question : 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 scored | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
| Number of students | 4 | 6 | 5 | 3 | 4 |
Solution for the question :
Solution:Runs scoredFrequencyCumulative Frequency0-204420-4061040-8051580-100318100-120422Total frequency (n) = 22 n/2 = 11; So 40-60 is the median class.l = 40, h = 20, cf = 10, f = 5Median = l+(n/2-cf/f)×h= 40 + (11-10/5) × 20= 44 runs
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