Comparing Measures of Center and Variability

What is the most appropriate measure of center?

• symmetric

• skewed right

• skewed left

• symmetric with an outlier

Which set has a greater measure of center?

• A

• B

The double dot plot shows the number of city pet registrations for several days.

• The mean number of cat registrations is greater than the mean number of dog registrations.

• The dogs’ data has a mean of 10 registrations.

• The cats’ data has a mean of 15 registrations.

• The mean number of dog registrations is greater than the mean number of cat registrations.

The double box plot below shows the results of a school survey about types of lunch purchased.

• The a la carte data have less variation than full lunch.

• The a la carte data are centered around a higher value.

• The data for full lunch has a median of 180.

• The data for a la carte lunches has an interquartile range of 240 students.

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 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.

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.