Question

The scores in an exam along with their corresponding frequencies are tabulated below.

$$\begin{array}{cc}Score& Frequency\\ 5& 3\\ 7& 5\\ 2& 4\\ 9& 2\\ 6& 4\\ 3& 3\end{array}$$
Find the median score.

• A. 3
• B. 5
• C. 6
• D. 7

Answer 1

The correct option is C 6

Arrange the scores in ascending order and find the
cumulative frequencies.

$$\begin{array}{ccc}Observation& Frequency& Cumulative\\ & & Frequency\\ 2& 4& 4\\ 3& 3& 7\\ 5& 3& 10\\ 6& 4& 14\\ 7& 5& 19\\ 9& 2& 21\end{array}$$

Since the n= 21, the median is
the observation whose cumulative
frequency is just above or
equal to $\frac{n+1}{2}$
Hence, the median observation
is 6.