Question

An annual function was held at a school. The following data represents the number of participants in different items.


What will be the mean of this data without an outlier?

• A. $24$
• B. $23.16$
• C. $25$
• D. $19.8$

Answer 1

The correct option is B $23.16$

Observe the given data,


All the values of this data set lie within the range of $21$ to $25$, except the value $8$ which is quite smaller from the rest of the values.
Thus, by definition of oultlier, $8$ is said to be the outlier of this data set.

The mean of the data set is calculated as,

$\text{Mean}=\frac{\text{Sum of all data points}}{\text{Total number of data points}}$

The mean without outlier will be given as,

$\begin{array}{cc}\text{Mean without outlier}& =\frac{24+22+23+21+25+24}{6}\\ & =\frac{139}{6}\\ & =23.16\end{array}$

Thus, the mean of the given data without outlier is $23.16$.