Data With Variability

Match the following inference with the statistical measure that best justifies the inference:

"The two students in the same grade that had the greatest difference in time spent doing homework last week are in Grade 8."

• Mean

• Median

• Range

• Interquartile Range (IQR)

Match the following inference with the statistical measure that best justifies the inference: "Half of the students in Grade 8 spent more time doing homework last week than at least half of the students in Grade 6."

• Mean

• Median

• Range

• Interquartile Range (IQR)

Coach Lantz recorded the number of shots on goal players made during two weeks of a lacrosse scrimmage. How much greater was week 2's mean than week 1's mean? Type your answer as a one-digit number without a label.

Compare the variability of the data for each store.

• The range & IQR are greater at store B as compared to store A.

• There is less variability in prices of DVD players at store A.

• The range & IQR are greater at store A as compared to store B.

• There is more variability in prices of DVD players at store B.

What do the box plots tell you about the growth of a typical plant species?

• B typically grows taller than A since the range for B is greater.

• B typically grows taller than A since the IQR for B is greater.

• A grows taller than B since the median for A is greater.

• A typically grows taller than B since the mean for A is greater.

What do the box plots tell you about the variability of the data?

• B has greater variability because its range and IQR are greater than A.

• B has greater variability because its median & mean are greater than A.

• A has greater variability because its range & IQR are greater than B.

• A has greater variability because its median and mean are greater than B.

See the image.

• 15 Students

• 25 Students

• 30 Students

• 50 Students

Compare the measure of center for each of the data sets.

• 90 secDVD 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.

Answer the questions above.

• 123

• 156

• 36

• 64

Data from a survey asking students about the number of siblings in their families are shown. Compare the mean data.

• Students in 6th grade have 5 more siblings

• Students in each grade have a similar number of siblings

• Students in 7th grade have fewer siblings

• There is no difference in the number of siblings by grade