Question

Identify the outlier, and find the mean of the data set given below with the outlier.

49

76

45

51

52

57

50

• A. 54.28
• B. 63.33
• C. 50.66
• D. 43.42

Answer 1

The correct option is A 54.28

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.

Since most of the data points in the given data set lie between 45 and 57, the outlier is 76.

$\text{Mean =}\frac{Sumofalldatapoints}{Numberofdatapoints}$

Thus, mean with the outlier =
$\frac{49+76+45+51+52+57+50}{7}$
$\Rightarrow \frac{380}{7}=54.28$