Question

In the given frequency distribution, median term(s) is/are ______.
$\begin{array}{cc}Ageinyears& Numberofpeople\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

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

Answer 1

The correct option is C

${20}^{th}\&{21}^{st}$

$\begin{array}{ccc}Ageinyears& Numberofpeople& Cumulativefrequency\\ 15& 3& 3\\ 16& 8& 11\\ 17& 10& 21\\ 18& 10& 31\\ 19& 5& 36\\ 20& 4& 40\end{array}$

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 ${20}^{th}$ and ${21}^{st}$ terms.