Question

Find the median for the data items in the given frequency distribution.
​Score, x
1
2
3
4
5
6
7
8

​Frequency, f
1
6
5
5
1
6
1
1

Answer 1

Total frequency n = 1+6+5+5+1+6+1+1 = 26, so the median is the average of the 13th and 14th ordered values.

Cumulative frequencies:
- x=1: 1
- x=2: 7
- x=3: 12
- x=4: 17
(so the 13th and 14th values lie in the x=4 class)

Thus median = (4 + 4)/2 = 4.