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 determine the median of the distribution, order the data values and calculate the cumulative frequency. This is done by adding the frequencies sequentially.

With a total of \(42\) observations, the median is at the \(\frac{N+1}{2} = \frac{42 + 1}{2} = 21.5\)th position. The cumulative frequency surpassing 21.5 is for \(x = 9\), hence the median is 9. Therefore, the correct answer is 9.