Question

Find the mean of the following data set without the outlier.

Stem|	Leaf
0 |	1
1 |	4, 7, 8
8 |	6

• A. 12.5

Answer 1

The correct option is A 12.5
Stem and Leaf representation is

Stem|	Leaf
0 |	1
1 |	4, 7, 8
8 |	6

Here, the difference between 86 and the tens are significant than the differences between tens and ones.

Hence, 86 is an outlier.

The corresponding data set without outlier is

1

14

17

18

Mean
$=\frac{Sumofallnumbersinthedataset}{\text{Total number of data set}}$
$=\frac{1+14+17+18}{4}$
$=\frac{50}{4}$
$=\frac{2\times 25}{2}$
(cancelling 2 from numerator and denominator)
$=\frac{2\times 12.5}{2}$
(cancelling 2 from numerator and denominator)
$=12.5$