Measures of Spread/Variability

Jessie is comparing the prices of meals at two different restaurants. She makes a dot plot for each of the restaurants showing the cost for each meal on the dinner menu. Which restaurant's data set would have a smaller standard deviation?

• Restaurant A

• Restaurant B

• The variance is about the same.

Which of the following is a measure of spread, or variability?

(select all that apply)

• Interquartile Range

• Standard Deviation

• Mean

• Median

• Range

Which summary statistic should be used to compare the two data sets and why?

• The median and the interquartile range because they are normally distributed.

• The median and the interquartile range because they are skewed.

• The mean and the standard deviation because they are normally distributed.

• The mean and the standard deviation because they are skewed.

Which histogram would have a larger standard deviation?

• Histogram A

• Histogram C

• They are about the same.

The double dot plots show the average wait times in minutes for two popular rides at an amusement park. Compare the measures of center and variation, which ride typically has a longer wait time?

• No inference can be made from the graph.

• Topsy Turvy

• The wait times are the same for both rides.

• Rocket Blast

The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser. Which plot has an outlier? 

• Girls

• Boys

• Both Plots

• Neither

Compare the centers and spreads. 

•  Math has a higher median (center) and a wider spread.

•  Math has a higher median (center) and a smaller spread.

• Math has a lower median (center) and a smaller spread.

• Math has a lower median (center) and a wider spread.

Order the data sets from largest standard deviation (1) to smallest standard deviation (3).

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Order the data sets from largest standard deviation (1) to smallest standard deviation (3).

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Order the data sets from largest standard deviation (1) to smallest standard deviation (3).

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