Centers of Distributions

Which box and whisker plot has the highest median?

• Top plot

• Bottom plot

• A

• B

• C

• D

• A

• B

• C

• D

• F

• G

• H

• J

What is the difference in medians of the two box plots?

• 3

• 4

• 5

• 2

Which statement is true about the interquartile range?

• Class 1 has and interquartile range of 4 which is greater than the interquartile range of Class 2.

• Class 1 has and interquartile range of 5 which is greater than the interquartile range of Class 2.

• Class 1 has an interquartile range of 4, and Class 2 has an interquartile range of 5.

• Class 1 and Class 2 have an interquartile range of 14.

• only one of the data sets is symmetric
• the median in 1st period is greater than the median in 5th period
• the highest test score is the same in both classes
• the interquartile range is larger in 1st period than in 5th period

Compare the centers and spreads. 

•  Math has a higher median (center) and a wider spread.

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

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

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

What is the shape of the distribution?

• The distribution is approximately symmetrical.

• The distribution is skewed to the right.

• The distribution is skewed to the left.

• The distribution is approximately uniform.

The test scores of 32 students are listed below:

32, 37, 41, 44, 46, 48, 53, 55, 57, 57, 59, 63, 65, 66, 68, 69, 70, 71, 74, 74, 75, 77, 78, 79, 81, 82, 83, 86, 89, 92, 95, 99

If you had to construct a boxplot for the data set, which would be the correct boxplot?

• Boxplot A

• Boxplot B

• Boxplot C

• Boxplot D