Question

In the given frequency distribution, which is the median term?
$\begin{array}{cc}\text{Age in years}& \text{Number of people}\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

• A. ${19}^{th},{20}^{th}$
• B. ${20}^{th},{21}^{st}$
• C. ${21}^{st}$
• D. ${20}^{th}$

Answer 1

The correct option is B

${20}^{th},{21}^{st}$

$\begin{array}{ccc}\text{Age in years}& \text{Number of people}& \text{Cumulative frequency}\\ 15& 3& 3\\ 16& 8& 11\\ 17& 10& 21\\ 18& 10& 31\\ 19& 5& 36\\ 20& 4& 40\end{array}$
The total number of people is 40.
Since it is an even number,
there will be two median terms :
$(\frac{n}{2}{)}^{th}$ and ​$(\frac{n}{2}+1)th$ terms.
So, the median terms will be the 20th and 21st terms.