Question

The number of candies bought by Adam on four different days is given as


If the median value is $22$, then which of the following will be the correct representation of the given data?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

The given data is observed for $4$ number of days, i.e., for even number of days.

For even number of terms, the median is obtained by arranging the given values in ascending order and finding the average of middle two terms.

As the given data is already in the ascending order, thus the two middle values are $x+4$ and $x+6$.

Given the median is $22$, which implies the average of $x+4$ and $x+6$ is $22$.
Hence, the value of $x$ is calculated as follows

$\begin{array}{cc}\text{Average}& =\frac{x+4+x+6}{2}\\ 22& =\frac{2x+10}{2}\\ 22\times 2& =2x+10\\ 44& =2x+10\\ 44-10& =2x\\ 34& =2x\\ x& =\frac{34}{2}\\ x& =17\end{array}$

Thus, the tabular representation of the given data should be as follows:


i.e.,