Question

The data below below represents the number of sheets bought by different persons.


Identify the outlier and the median without outlier.

• A. $2,3.5$
• B. $15;2$
• C. $15;3.5$
• D. $2;4$

Answer 1

The correct option is C $15;3.5$

Observe the given data,


All the values of this data set lies within the range of $2$ to $5$, except the value $15$ which is quite larger from the rest of the values.
Thus, by definition of oultlier, $15$ is said to be the outlier of this data set.

The median of even number number of terms is the average of middle two terms of the given data set after aranging them in ascending order.

Observe the given data set without outlier and arrange it in ascending order to find the median without outlier.


Thus, the median without outlier is,

$\begin{array}{cc}\text{Median}& =\frac{3+4}{2}\\ & =\frac{7}{2}\\ & =3.5\end{array}$