Question

Consider the following data set.45 58 41 45 38 46 45 39 40 311.Sort the data and find quartiles of the data set.2.Find the interquartile range of the data set.3.Find the lower fence and the upper fence for outliers.4.Find outliers if they exist.

Answer 1

Explanation:

1)

Sorted data:

31, 38, 39, 40, 41, 45, 45, 45. 46, 58

Q1 = (n+1)/4 = position 2.75 --> position 3.

Q1 = 39

Q2 = position 5.5.

= (41 +45)/2 =43

Q3 = 3(n+1)/4 = 8.25 --> position 8

Q3 = 45

2)

IQR = Q3 - Q1

= 45 - 39

=6

3)

Upper fence = Q3 + 1.5IQR

= 45 + 9

= 54

Lower fence = Q1 - 1.5IQR

= 30

4) There is one outlier - 58.