Dot Plots, Box Plots, Mean and MAD

Which statement is true

• The difference between the mean scores is about 4 times the range of Jada’s scores.

• The difference between the mean scores is about 0.5 times the range of Tori’s scores.

• The difference between the mean scores is about 0.9 times the MAD for Tori’s scores.

• The difference between the mean scores is about 2 times the MAD for Jada’s scores.

What effect does the outlier in Jada’s data have on the mean and median scores?

• It increases the mean score and increases the median score.

• It increases the mean score but has no effect on the median score.

• It decreases the mean score and decreases the median score.

• It decreases the mean score but has no effect on the median score.

The value of 3.5 days is a key value for each box plot. What is the significance of this value for each group’s data?

• In group A, 25% spent at least 3.5 days at a national park, while 50% of group B spent at least 3.5 days at a national park.

• In group A, 25% spent at most 3.5 days at a national park, while 50% of group B spent at least 3.5 days at a national park.

• More than 50% of both groups spent at least 3.5 days at a national park.

• Less than 25% of both groups spent at most 3.5 days at a national park.

What is the range in minutes for each data set?

• 7th grade 1.75, 8th grade 1.75

• 7th grade 2, 8th grade 2

• 7th grade 1.5, 8th grade 1.75

• 7th grade 1.75, 8th grade 1.5

• 7th grade 1.3, 8th grade 1.3

Which statement correctly compares the times for the two teams?

• The median time for the seventh grade is less than the median time for the eighth grade, and the difference is large compared with the ranges of the data sets.

• The median time for the seventh grade is less than the median time for the eighth grade, but the difference is small compared with the ranges of the data sets.

• The median time for the eighth grade is less than the median time for the seventh grade, and the difference is large compared with the ranges of the data sets.

• The median time for the eighth grade is less than the median time for the seventh grade, but the difference is small compared with the ranges of the data sets.

What is the interquartile range for city B?

• $50

• $100

• $175

• $75

• $25

Which inference can be drawn from these box plots?

• The median cost of leasing a car in city B is higher than the median cost of leasing a car in city A.

• The interquartile range for city B is larger than the interquartile range for city A.

• City A has a smaller range of costs than city B.

• City A has the lowest cost for leasing a car.

What is the difference in dollars between the medians for the two cities?

• $25

• $0

• $100

• $75

• $50

Which statement is true?

• The difference between the means is about 4 times the range of class A.

• The difference between the means is about 0.25 times the range of class B.

• The difference between the means is about 6 times the MAD for class A’s data.

• The difference between the means is about 1.8 times the MAD for class B’s data.

One more student in class B runs 14 miles. What effect does this have on the mean and median distances for class B?

• It increases the mean distance and increases the median distance.

• It increases the mean distance but has no effect on the median distance.

• It decreases the mean distance and decreases the median distance.

• It decreases the mean distance but has no effect on the median distance.