Statistics Unit Review

Find the range of the data below.

30, 35, 90, 40, 20, 30, 30, 20

• 70

• 20

• 90

• 30

Which data point affects the range of the data set the most?

30, 35, 90, 40, 20, 30, 30, 20

• 30

• 40

• 90

• 35

A student collected data on the number of pets his classmates have at home. If both the range and median is 4 pets, which of the following box-and-whisker plots could represent the number of pets?

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Leonard asked his math class, “How many minutes does it take for you to walk to school?” He graphed the results on the line plot above.

• The mean is about 18.6; there are no gaps or outliers; a peak at 20; the data is non-symmetrical

• The median is 20; the data is symmetrical; 0 is the outlier; there are no gaps

• The mode is 20; the data is skewed right; and there is a gap at 30-35

• The range is 30; there is a peak at 20; 0 is an outlier; the data is skewed left

Sheldon, Penny, Amy, and Raj each conducted surveys on the number of televisions people have in their homes. Then, each student determined the accuracy of the following statement.

All measures of central tendency must appear as a number in the set of data collected.

• Sheldon says this is sometimes true because the mean and median may or may not be in the set of data, but the mode is always in the set of data.

• Penny says this is sometimes true because the mean and mode may or may not be in the set of data, but the median is always in the set of data.

• Raj says this is always true because all the measures of central tendency also have to be numbers in the set of data.

• Amy says this is never true because all the measures of central tendency are never numbers in the set of data.

Bernadette had the following test scores: 100, 98, 71, 99.

Which measure of center best describes her test scores and why?

• The range because 71 is the outlier.

• The mean because the data set does NOT have an outlier.

• The median because the data set DOES have an outlier.

• The mode because 98.5 is in the middle.

What statement is true about the relationship of this data?

• Over half of the players are over 65 inches.

• The range of the data is 14 inches.

• The median height of the players is 63 inches.

• The players have a mean height of 60 inches.

Howard and Leonard are visiting Six Flags. Howard is using his cell phone app to record the wait time for various rides. Howard asked Leonard to jot down the wait times below.

18, 20, 39, 42, 42, 48, 50, 53, 58, 60, 72, 78

Which histogram represents the results?

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Raphael recorded the swim times of his teammates for the 50 meter Freestyle (measured in seconds).

29, 25, 20, 23, 28, 22, 21, 27, 23

How many observations are in the data set?

• 9

• 29

• 20

• 7

Using the words peak, gap, skewed left, skewed right, clusters, symmetry, describe the line plot above.

• There are gaps at 24-25; it is skewed to the left, it is non-symmetrical, and there is a cluster between 26-30.

• The cluster is between 26-30, it is skewed to the right, the peak is at 30.

• It is skewed left, it is symmetrical, the peak is at 29, and there is a gap at 20.

• The peak is at 29, there is a cluster at 31-32, there is a gap at 24-25, it is non-symmetrical.