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In a sample survey of a University Community, the following table shows the perc...


Question

In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per household:

\(\begin{array}{c|c} \text{No. of members per household} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \text{Total} \\ \hline \text{No. of households} & 3 & 12 & 15 & 28 & 21 & 10 & 7 & 4 & 100\end{array}\)

What is the median?

Options

A) 4

B) 3

C) 5

D) 4.5

E) None

The correct answer is 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

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  • \(\begin{array}{c|c} x & f \\\hline 1 & 3\\ 2 & 13\\3 & 15\\ 4 & 28\\ 5 & 21\\ 6 & 10\\ 7 & 7\\ 8 & 4\end{array}\)
    Median is half of total frequency = 50th term
    4 falls in the range = 4

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