Question

The median of the following distribution is:

x	4	5	6	7	8	9
f	6	4	5	8	6	9
Total	10

• A. 8
• B. 9
• C. 10
• D. None of these

Hint:

When calculating the median of a frequency distribution, ensure you use the cumulative frequency correctly to find the median class.

Answer 1

The Correct Option is B

To find the median of the given distribution, we need to arrange the data values in ascending order and compute the cumulative frequency. The cumulative frequency is calculated by summing the frequencies sequentially:

The total number of observations is \(42\). The median corresponds to the position \(\frac{N+1}{2} = \frac{42 + 1}{2} = 21.5\)th observation. The cumulative frequency just exceeding 21.5 is for \(x = 9\), meaning the median value is 9. Thus, the correct answer is 9.