Select all the true statements.

• Given a box plot, it is always possible to calculate the mean of the data.

• Given a box plot, it is always possible to calculate the median of the data.

• Given a box plot, it is always possible to construct a corresponding dot plot.

• Given a dot plot, it is always possible to construct a corresponding box plot.

• Given a histogram, it is always possible to construct a corresponding box plot.

Answer explanation

A vital fact to know here is that only the dot plot can be used to reconstruct the entire data set. Given a histogram or box plot, only certain information is readily known.

Here’s a dot plot of a data set. Which statement is true about the mean of the data set?

• The mean is less than 5.

• The mean is equal to 5.

• The mean is greater than 5.

• There is not enough information to determine the mean.

The air quality was tested in many office buildings in two cities. The results of the testing are shown in these box plots.

A level of less than 50 parts per million is considered healthy. A level of 50 or more parts per million is considered unhealthy.

Select all the statements that must be true.

• The lowest recorded measurement was in city Q

• All buildings tested in city P are in the healthy range

• The mean for city P is greater than the mean for city Q.

• The range for city Q is greater than the range for city P.

• The median for city P is greater than the median for city Q

This box plot displays information about the number of text messages some students sent one day.

What is the median number of texts sent by students?

This box plot displays information about the number of text messages some students sent one day.

What is the IQR (interquartile range)?

This box plot displays information about the number of text messages some students sent one day.

Is this data set symmetric? Explain how you know.

Two groups went bowling. Here are the scores from each group. Draw two box plots, one for the data in each group on the sheet provided. Which group shows greater variability?

• Group A

• Group B

Ten students each attempted 10 free throws. This list shows how many free throws each student made.

What is the median number of free throws made?

Ten students each attempted 10 free throws. This list shows how many free throws each student made.

What is the IQR (interquartile range)?

The mode is the number ________________________.

• you see most

• you see least

• you don't see

• you see first