Box plot inferences

What can you infer about the athletes from the box plot?

• The data set for soccer players shows that they have less variability when compared to the data set for basketball players.

• The data set for soccer players shows that they have an equal amount of variability when compared to the data set for basketball players.

• The data set for soccer players shows that they have greater variability when compared to the data set for basketball players.

How can box-and-whisker plots be used to compare two sets of data? Select all that apply.

• They quickly illustrate measures of center.

• They identify all the data points in each data set.

• They show trends in data that can be compared.

• They display measures of variability for each data set.

• They easily show the mean of each data set.

Angela is comparing the amount of rainfall over the past month in two cities on days when it rained. In City​ 1, the range in rainfall is 4.5 centimeters and the interquartile range​ (IQR) is 1.5 centimeters. In City​ 2, the range is 5 centimeters and the IQR is 3 centimeters. What might you conclude about the cities based on the ranges and interquartile​ ranges?

• The rainfall amounts on days when it rains have the same variability for City 1 and City 2.

• The rainfall amounts on days when it rains have greater variability for City 2 than those for City 1.

• The rainfall amounts on days when it rains have greater variability for City 1 than those for City 2.

• The rainfall amounts on days when it rains are generally greater for City 2 than those for City 1.

The following box plots show the high​ temperatures, in degrees​ Fahrenheit, in two cities over the past 10 days. What might you conclude about the cities based on the interquartile​ ranges?

• The weather patterns in City 1 and City 2 are equally consistent.

• The weather pattern in City 1 is more consistent than the weather pattern in City 2.

• The weather pattern in City 2 is more consistent than the weather pattern in City 1.

The box plots show the distribution of times spent shopping by two different groups. Which of the following is a valid comparative inference?

• The median for Group A is higher, so they generally spend more time shopping.

• The interquartile range for Group A is higher, so they have a larger variability in shopping time.

• The range for Group B is higher, so they have a larger variability in shopping time.

• Both groups spend about the same amount of time shopping, in general.

The box plots show the distribution of times spent shopping by two different groups. Which group has a higher variability in the lower 50% of their data?

• Group A because their interquartile range is larger.

• Group B because their interquartile range is larger.

• Group A because the distance from their median to their maximum value is larger.

• Group B because the distance from their median to their maximum value is larger.