Question

The following table shows summary statistics, in thousands, for the number of electrical workers and the number of concrete workers in the construction industry each month for the past 5 years.

Based on the 1.5×IQR rule for outliers, which of the following statements is a correct comparison of the two distributions?

Answer 1

The electrical workers data is correct comparison of the two distributions based on the 1.5× IQR rule for outliers.

Step-by-step explanation:

Outlier> 1.5 *IQR + 3rd Quartile

Outlier < 1st Quartile-1.5 *IQR

where

Interquartile Range (IQR) = 3rd Quartile- 1st Quartile

IQR (electrical) = 320-278= 42

IQR (concrete) = 308- 262= 46

Outlier for Electrical Co workers=

Outlier> 1.5 *IQR + 3rd Quartile= 1.5*42 + 320= 63+320= 383

Outlier < 1st Quartile-1.5 *IQR=278-1.5*42=278-63= 215

The minimum for electrical workers is 239 and maximum is 330.

215 < 239

383> 330

By comparing the values we find there are no outliers in the electrical workers data.

Outlier for Concrete Co workers=

Outlier> 1.5 *IQR + 3rd Quartile= 1.5*46 + 308= 69+308= 377

Outlier < 1st Quartile-1.5 *IQR=262-1.5*46=262-69= 193

The minimum for concrete workers is 186 and maximum is 335.

377>335

193>186 The minimum is the outlier.

By comparing the values we find there is one outlier in the concrete workers data.