Find the median for the following frequency distribution.
Variate | 17 | 20 | 22 | 15 | 30 | 25 |
Frequency | 5 | 9 | 4 | 3 | 10 | 6 |
By arranging the data in the following format,
Variate (x) | Frequency (f) | Cumulative frequency |
17 | 3 | 3 |
20 | 5 | 8 |
22 | 9 | 17 |
15 | 4 | 21 |
30 | 6 | 27 |
25 | 10 | 37 |
N = 37 |
N = 37 (odd number)
Median = value of the 
term
= 
Median is the 19th observation, which comes under the observations from 18th to 21st.
So the median value of observations is 22.
9