Comparing Data Sets Using Measures of Center

Which inference can you make by comparing the measures of center?

• Every swimmer swam faster last year than they did this year.

• Most swimmers swam faster last year, on average, than they did this year.

• The swimmers swam faster this year, on average, than they did last year.

• Every swimmer swam faster this year than they did last year.

Tags

7.SP.4

What is the difference between the medians?

• 16

• 12

• 8

• 4

The two data sets show the number of days that team members trained before a 5k race. What inference can you draw by comparing the data?

• There is more variability in the number of days that Team A members trained because the IQR for Team A is greater than the IQR for Team B.

• There is more variability in the number of days that Team B members trained because the IQR for Team B is greater than the IQR for Team A.

• Team A members generally trained for more days than Team B members

• Team B members generally trained for more days than Team A members

What inference can you draw by comparing the data?

• There is more variability in the number of days that Team A members trained because the range for Team A is greater than the range for Team B.

• 75% of Team A's training was between 5 and 20 days.

• The interquartile range of Team B is about 20 days.

• Team A generally spends more time training since they have a higher median.

The dot plots show how long it took students in Mr. Chauncey's two science classes to finish their science homework last night. Find the average to make an inference about the data.

• The 1st period mean is 35. The 2nd period mean is 38.75. On average, it took students in the 1st period class slightly longer to finish their homework than it did the students in the 2nd period class.

• The 1st period mean is 38.75. The 2nd period mean is 35. On average, it took students in the 1st period class slightly longer to finish their homework than it did the students in the 2nd period class.

• The 1st period mean is 35. The 2nd period mean is 38.75. On average, it took students in the 2nd period class slightly longer to finish their homework than it did the students in the 1st period class.

• The 1st period mean is 38.75. The 2nd period mean is 35. On average, it took students in the 2nd period class slightly longer to finish their homework than it did the students in the 1st period class.

Who has a greater median?

• Zach

• Steven

• They have the same median

Compare the data sets to draw an accurate conclusion.

• DVD players cost less, on average, at Store B

• The range for Store B is greater than the range for store A

• Data for store B has a greater mean, but not greater median than Store A.

• DVD players cost less, on average, at Store A.

Which two measures of center are most similar using the data shown?

• mean and median

• mean and mode

• median and mode

• the mean, median, and mode are all the same

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.