Comparing Centers of Measures

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.

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 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.

Which measure of center most accurately describes the data?

• Mean

• Median

• Mode

• Range

The dot plots show the numbers of children's books purchased by customers at two different bookstores on one day. Which statement is supported by the information in the dot plots?

• The mode of the data for Store 2 is greater than the mode of the data for Store 1

• The range of the data for Store 1 is greater than the range of the data for Store 2

• The mean of the data for Store 1 is greater than the mean of the data for Store 2

• The median of the data for Store 2 is greater than the median of the data for Store 1

Which statement is best supported by the information in the box plots?

• The range of the data for Farm Y is equal to the range of the data from Farm X

• The third quartile of the data for Farm Y is less than the third quartile of the data for Farm X

• The median of the data for Farm Y is greater than the median of the data for Farm X

• The first quartile of the dat for Farm Y is greater than the first quartile of the dat for Farm X

Eva gathered samples for the average monthly temperatures of two cities and calculated the five number summaries. What conclusion can she make?

• About 50% of the sample temperatures for City A are between 32 and 45 degrees while about 50% of the sample temperatures for City B are between 37 and 48 degrees.

• About 50% of the sample temperatures for City A are between 45 and 72 degrees while about 50% of the sample temperatures for City B are between 48 and 75 degrees.

• The range for City A is the same as the range for City B.

• The IQR is greater for City A than for City B.

Ali asked a random sample of 10 seventh grade boys and 10 seventh grade girls how to spell 10 commonly misspelled words. How does the IQR for the boys compare to the IQR for the girls?

• The IQR for boys is 1 word greater than the IQR for girls.

• The IQR for boys is 2 words greater than the IQR for girls.

• The IQR for boys is 1 word less than the IQR for girls.

• The IQR for boys and the IQR for girls are both equal to 2.