Measures of Center and Comparing

The double box plot shows the average monthly high temperatures for Phoenix, Arizona, and Las Vegas, Nevada.

• Las Vega temperatures show greater variability than Phoenix.

• Phoenix temperatures show greater variability than Las Vegas.

• Las Vegas temperatures are more consistently centered around the median.

• Phoenix has a greater temperature range than Las Vegas.

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 number of car shows attended by two car clubs each year. Compare the centers and variations of the two populations.

• The Cruisers' IQR is 5 greater than the Car Hops' IQR.

• The Car Hops' IQR is 2 greater than the Cruisers' IQR.

• The data for the Car Hops is more consistent.

• The data for the Cruisers is more consistent.

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.

Which measure of center and variability should you use to to compare these data sets? Choose one of each.

• Mean

• Median

• Standard Deviation

• IQR

Annabel is comparing the distances that two electric cars can travel after the battery is fully charged. Use the measures of center to make an inference about the data. Use the drop-down menus to complete your answer. ​ (a)   can travel further than ​ (b)   after the battery is fully charged.

• Car B

• Car A

Which measure of center should you use?

• mean

• median

Which measure of center should you use?

• mean

• median

The tennis team needs to raise money by selling raffle tickets. The box plots show how many tickets were sold over 15 days by 3 students. What is the appropriate measure of center for Daniel?​ (a)  

• Median

• Mean

• Range

• IQR

Which measure of center should you use?

• mean

• median