Question

A company surveyed its employees regarding the number of miles

commuted each day. The data set below shows the results
9, 15, 26, 32, 65, 5, 10, 19, 26, 32, 8, 15, 25
30, 40, 7, 12, 21, 27, 35, 60, 29, 23, 14,8
Using a box plot, determine the outlier value of the data set above.
A. 65
OB. 23
C. 60
D. The data set does not contain an outlier.
E. 5

Answer 1

Answer: According to Study Island the answer is 65

Explanation:

In order to determine the outlier value, create a box plot.

To create a box plot, order the data.

5, 7, 8, 8, 9, 10, 12, 14, 15, 15, 19, 21, 23, 25, 26, 26, 27, 29, 30, 32, 32, 35, 40, 60, 65

Find the median, the first quartile (Q1), the third quartile (Q3), and the interquartile range (IQR).

Median = 23

Q1 =

10 + 12

2

= 11

Q3 =

30 + 32

2

= 31

IQR = Q3 - Q1 = 31 - 11 = 20

Find the upper and lower fences for the given data.

Lower Fence = Q1 - 1.5 × IQR

= 11 - 1.5 × 20

= -19

Upper Fence = Q3 + 1.5 × IQR

= 31 + 1.5 × 20

= 61

Answer 2

It might be c.60 I’m not sure