Best Measure of Center and Variability and Data Distribution

The boxplots display the distributions of homework time (in hours/week) of a sample of 8^th graders (year 8) and seniors (year 12).

True or false: The middle half of the data for students in year 12 has more variability than students in year 8.

• True

• False

What measure of center is most appropriate to use to describe a typical value for the data in this distribution?

• Mean

• Median

• Mode

What measure of center is most appropriate to use to describe a typical value for the data in this distribution?

• Mean

• Median

• Mode

What measure is most appropriate for describing variability in this data distribution?

• Standard Deviation

• Interquartile Range (IQR)

Which distribution has a GREATER measure of center?

• A

• B

Which distribution has a GREATER measure of variability?

• A

• B

Which distribution has a GREATER measure of center?

• A

• B

Which distribution has a GREATER measure of variability?

• A

• B

Compare the centers and variability.

• Math has a higher median (center) and a larger variability.

• Math has a higher median (center) and a smaller variability.

• Math has a lower median (center) and a smaller variability.

• Math has a lower median (center) and a wider variability.

Select all the types of distributions below that have a mean EQUAL to its median.

• Symmetric

• Skewed right

• Bell Curve

• Skewed Left

• Uniform