Centers and Variation

The double box plot shows the number of Calories per serving for various fruits and vegetables.

• The median for the fruit data is 125.

• The median for the vegetable data is 75.

• The fruits have a higher number of calories with a greater variation.

• The vegetables have a higher number of calories with a greater variation.

The double dot plot shows the gas mileage, in miles per gallon, for several cars and SUVs.

• The cars have a greater gas mileage with a greater variation.

• The cars have a greater gas mileage with a less variation.

• SUVs have less gas mileage with greater variation.

• SUVs are centered around a greater median.

The double plot shows the daily attendance for two fitness clubs for one month.

• Fun Fit has greater attendance with greater variation.

• Greg's Gym has greater attendance with greater variation.

• Fun Fit has greater attendance with less variation.

• Greg’s Gym has a greater attendance with less variation.

The double box plot shows the heights in inches for the players on two professional basketball teams.

• While the median heights are about the same, the variation in heights is greater for the NJ Nets than the NY Knicks.

• While the median heights are about the same, the variation in heights is greater for the NY Knicks than the NJ Nets.

• The heights of the NJ Nets are more consistently centered around the median.

• The heights of the NY Knicks are less consistently centered around the median.

The double box plot shows the daily number of customers for two ice cream parlors.

• The Corner Creamery’s data centers around 80 customers with an interquartile range of 35 customers.

• Sue’s Ice Cream data centers around 60 customers with an interquartile range of 20 customers.

• Sue's Ice Cream has a greater number of daily customers.

• Sue’s Ice Cream has a greater consistency in its distribution.

Which measure might be misleading in describing the value of each item?

• The mode, because it is significantly higher than the average.

• The mean, which gives an average value for the items.

• The mean, because of the outlier.

• The mode, because it is lower than the average.

Which statement is true?

• The mode is misleading because it is in the center of the data points.

• The mean is misleading because the outlier skews the mean down.

• The median is misleading because it is in the center of the data.

• The range is misleading because it is too large.

The double dot plot shows Kareem's and Martin's race times for a three-mile race.

• Martin typically runs a faster race.

• Kareem typically runs a faster race.

• Martin's race times are more consistent.

• Kareem's race times are less consistent.

Ms. Andrey claims the average score on a quiz in her class was 25. Mr. Luna claims the average score on a quiz in his class is 25.

• Ms. Andrey used the mode, while Mr. Luna used the median.

• Ms. Andrey used the mean, while Mr. Luna used the mode.

• Both teachers used the mean.

• Both teachers used the median.

Which measure of center most accurately describes the data?

• Mean

• Median

• Mode

• Range