Consider the following frequency distribution: x f 8 6 5 4 6 5 10 8 9 9 4 6 7 4 What is the median for the distribution?

6
7
8
9

Correct Answer: 8

Explanation:

Summation of frequencies = 6+4+5+8+9+6+4 = 42

Median = mid value = average of 21st and 22nd value

Arranging data in increasing order we get

x f

4 6

5 4

6 5

7 4

8 6

9 9

10 8

So mid value i.e 21st and 22nd value = 8

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