Question

The box plot represents the number of miles employees at a bank commute to work in a week.

Select all statements that are true for the data. So it can be more than one



a. About 75% of the employees commute between 10 mi and 30 mi a week.

b. The data above the median is more spread out than the data below the median.

c. The interquartile range is 14 mi.

d. About 25% of the employees commute between 8 mi and 10 mi a week.

e.The range is 14 mi.

Answer 1

5 number summary:
1) minimum - 8
2) Q1 - 10
3) Q2 - 20
4) Q3 - 24
5) maximum - 30

True statement about the data.
c. The interquartile range is 14 mi. → IQR = Q3 - Q1 → 24 - 10 = 14
d. About 25% of the employees commute between 8 mi and 10 mi a week. - 25% is Q1 below.

False statement.
Choice A. - 75% commute between 8 to 24 mi.
Choice B. - data below median is more spread out
Choice E. - Range = Max - Min = 30 - 8 = 22 mi