Question

A data set lists the number of times a machine breaks each month in a shoe factory over the past year. For this data set, the minimum is 4, the first quartile is 6, the median is 8, the interquartile range is 3, and the maximum is 20. Construct a box-and-whisker plot that shows the number of times the machine breaks.\

Answer 1

Answer:

answer is in the attached picture

Step-by-step explanation:

To construct the box-and-whisker plot from the given data we first need to find the 3rd quartile.

To find the 3rd quartile we will use the interquartile range and 1st quartile.

Interquartile range = 3rd quartile - 1st quartile

(substitute the values given in the question)

3 = 3rd quartile - 6

3rd quartile = 3 + 6

3rd quartile = 9

hence we now have the complete data to construct the box-and-whiskers plot.

The plot is in the attached picture.