Question

The height of $6$ boys of a locality is represented in the tabular form as follows


Find their median height.

• A. $172\text{cm}$
• B. $157.8\text{cm}$
• C. $161\text{cm}$
• D. $158.5\text{cm}$

Answer 1

The correct option is D $158.5\text{cm}$

The given number of boys is $6$ which is an even number.
To find the median of the even number of terms, arrange them in the ascending order and then find the average of the middle two terms.

The ascending order of given data is represented as:


The middle two values obtained are $156$ and $161$. Thus, the median is calculated by finding out the average of these terms as ,

$\begin{array}{cc}\text{Average}& =\frac{156+161}{2}\\ & =\frac{317}{2}\\ & =158.5\end{array}$

Hence, the median height is $158.5\text{cm}$.