Find the median for the following data:
Variate | 23 | 26 | 20 | 30 | 28 | 25 | 18 | 16 |
Frequency | 4 | 6 | 13 | 5 | 11 | 4 | 8 | 9 |
By arranging data in ascending order,
Variate (x) | Frequency (f) | Cumulative frequency |
16 | 9 | 9 |
18 | 8 | 17 |
20 | 13 | 30 |
23 | 4 | 34 |
25 | 4 | 38 |
26 | 6 | 44 |
28 | 11 | 55 |
30 | 5 | 60 |
N = 60 |
We have,
N = 60 (even number)
Median =
As we can see variate from 18th to 30th has the size of 20 and from 31st to 34th has the size of 23.
Hence median is 21.5.