Question

A regular die numbered 1 - 6 is rolled 50 times and the observations are taken in a table :

$\begin{array}{cc}\text{Score}& \text{Frequency}\\ 1& 15\\ 2& 9\\ 3& 8\\ 4& 5\\ 5& 6\\ 6& 8\end{array}$

Calculate the Median.

Answer 1

The cumulative frequency table is given as :

$\begin{array}{cc}\text{Score}& \text{Cumulative Frequency}\\ 1& 15\\ 2& 24\\ 3& 32\\ 4& 37\\ 5& 43\\ 6& 51\end{array}$

N = 50 (an even number)

The Median is the average of the 25th and 26th observations.

The 25th and 26th observations corresponds to the value 3.

$\therefore$ The Median is = 3