Box and Whisker Plots

When a data distribution is skewed left...

• The mean is greater than the median.

• The mean and the median are approximately equal.

• The mean is less than the median.

• There is no relationship between the mean and the median.

When a data distribution is symmetric...

• The mean is greater than the median.

• The mean and the median are approximately equal.

• The mean is less than the median.

• There is no relationship between the mean and the median.

When a data distribution is skewed right...

• The mean is greater than the median.

• The mean and the median are approximately equal.

• The mean is less than the median.

• There is no relationship between the mean and the median.

Select the option which most likely represents a data distribution that is symmetric.

• Mean=14; Median=11.5

• Mean=37; Median=44

• Mean=4; Median= 7

• Mean=21; Median=21.5

Select the two options which most likely represent data distributions that are skewed left.

• Mean=14; Median=11.5

• Mean=37; Median=44

• Mean=4; Median= 7

• Mean=21; Median=21.5

Select the option that most likely represents a data distribution that is skewed right.

• Mean=14; Median=11.5

• Mean=37; Median=44

• Mean=4; Median= 7

• Mean=21; Median=21.5

There are 32 roller coasters at an amusement park. How many of them are above 220 feet tall?

• 4

• 10

• 8

• 16

There are 32 roller coasters at an amusement park. How many of them are less than 180 feet tall?

• 4

• 10

• 8

• 16

Based on the box-and-whisker plot, which option is the best estimate of the mean?

• Mean=140 feet

• Mean=160 feet

• Mean=180 feet

• Mean=220 feet

Which box-and-whisker plot best matches the dot plot (even though the outlier is not shown on the plot)?

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