In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per house hold \(\begin{array}{c|c} \text{No. of members per household} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \text{Total} \\ \hline \text{No. of households} & 3 & 12 & 15 & 28 & 21 & 10 & 7 & 4 & 100\end{array}\) What is the median?
A. 4 B. 3 C. 5 D. 4.5 E. None
Correct Answer: A
Explanation
\(\begin{array}{c|c} x & f \\\hline 1 & 3\\ 2 & 13\\3 & 15\\ 4 & 28\\ 5 & 21\\ 6 & 10\\ 7 & 7\\ 8 & 4\end{array}\) Median is half of total frequency = 50th term 4 falls in the range = 4
