Question

Make a box-and-whisker plot of the data. 60,63,53,66,65,58,51,55,58,51,58,62,53,66,61,51,65,52,54,50

Answer 1

Explanation:

To do this by hand, first sort data (you can use wolfram to do this).

Then divide data into four parts.

50, 51, 51, 51, 52, 53, 53, 54, 55, 58, 58, 58, 60, 61, 62, 63, 65, 65, 66, 66

• Minimum = 50

Q1 = (52+53)/2 = 52.5

• Median = (58+58)/2= 58

Q3 = (62+63)/2 = 62.5

• Maximum = 66

IQR = 62.5 - 52.5 = 10

• Outlier is defined as a value x such that

x > Q3 + 1.5*IQR or x < Q1 - 1.5*IQR

=> There are no outliers.