Question

Find the median term of the following cumulative frequency distribution:
$\begin{array}{ccc}x& \text{frequency}& \text{Cumulative frequency}\\ 22& 1& 1\\ 34& 2& 3\\ 39& 2& 5\\ 45& 8& 13\\ 54& 8& 21\\ 56& 9& 30\\ 68& 4& 34\\ 78& 4& 38\\ 84& 2& 40\end{array}$

• A. 49.5
• B. 53.5
• C. 54
• D. 55

Answer 1

The correct option is C

54

Here, the sum of frequencies, n = 40, which is even.
So, the median terms will be the $\frac{n}{2}th$ and the $(\frac{n}{2}+1)th$ observations, i.e. the 20th and the 21st observations.
Both the 20th and the 21st observations are 54.
So, the median term will be 54.