Question

Find the median of the data set given below with and without the outlier.

7

13

9

12

12

22

8

10

• A. 10,10
• B. 11,10
• C. 10,11
• D. 11,10

Answer 1

The correct option is B 11,10

Median is the middle value of a numerically ordered data set.

By arranging the above values in ascending order, we get:

7

8

9

10

12

12

13

22

An outlier is a value in a data set that is either too small or too big compared to the other values of the same data set. Thus, from the given data set, we can see that 22 is the outlier.

$\text{Median (with the outlier):}\frac{10+12}{2}=11$
$\text{Median (without the outlier):}10$