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In a sample survey of a University Community, the following table shows the percentage distribution…

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 & 100end{array})
What is the median?
  • A.
    4
  • B.
    3
  • C.
    5
  • D.
    4.5
  • E.
    None
Correct Answer: Option A
Explanation

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