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 |
Runs scored | Frequency | Cumulative Frequency |
0-20 | 4 | 4 |
20-40 | 6 | 10 |
40-60 | 5 | 15 |
60-80 | 3 | 18 |
80-100 | 4 | 22 |
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