Comparing Interpreting Measures of Center and Variation

The double dot plot shows the number of minutes two students spent practicing the piano.

• Both data sets have the same variation, but Lily’s data centers around a higher value.

• Both data sets have the same variation, but Alessandra's data centers around a higher value.

• Generally, Lily practiced less minutes than Alessandra.

• Generally, Alessandra practiced more minutes than Lily.

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.

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 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.

Which measure of center most accurately describes the data?

• Mean

• Median

• Mode

• Range

calculate the median for the following set of scores

45, 69, 69, 87, 88, 92, 99, 100

• 87

• 55

• 87.5

• 99

Calculate the interquartile range of the following data

17, 18, 18, 19, 20, 21, 21, 23, 25

• 3

• 4

• 5

  
  

• 8

  
  

Find the mean.
90, 100, 95, 85, 60, 80

• 85

• 84

• 86

• 90

Find the median.
12, 5, 9, 18, 22, 25, 5

• 9

• 8

• 12

• 18