Assessing Overlap of Two Data Distributions

• Skewed up box

• Skewed to the left

• Skewed to the right

Which statement best describes this graph?

• There is a peak at 47.

• There is a cluster around 38-40.

• The mode is 40.

• There is a gap in the data between 39-40.

Describe the histogram:

• Left Skewed

• Symmetrical

• Right Skewed

• Uniform

The box-and-whisker plots below show the scores earned by 6th and 7th graders on a year-end reading test. Which statement is best supported by the box-and-whisker plots?

• The range of the 7^th grade scores is greater than the range of the 6^th grade scores.

• The median of the 6^th grade scores is greater than the median of the 7^th grade scores.

• The mean of the 7^th grade scores is less than the mean of the 6^th grade scores.

• The number of 6^th graders who took the test is greater than the number of 7^th graders who took the test.

Which of the following describes the visual overlap of the two data sets?

• There is complete visual overlap.

• There is visual overlap between 598 and 603

• There is no visual overlap.

• There is visual overlap between 598 and 601

Analyze the dot plots. What is the difference between the medians of the two data sets?

• 2 mm

• 4 mm

• 6 mm

• 8 mm

Which class did better on the test?

• 1st period

• 2nd period

• They both performed the same

Select ALL the conclusions that may be made by comparing the ranges.

• The range for seventh graders is greater than the range for eighth graders.

• The range for eighth graders is greater than the range for seventh graders.

• There is less variability in the number of hours of homework for seventh graders.

• There is less variability in the number of hours homework for eighth graders.

The ages of the starting players of two soccer teams are shown below. Based on this data, select all the true statements below.

• The median of ages on the Knights team is greater than the median of ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the median of the ages on the Trojans team.

• The median of ages on the Knights team is one greater than the range of ages on the Trojans team.

• The mean of the ages on the Knights team is less than the mean of the ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the mean of the ages on the Trojans team.

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days. Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

• Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

• Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

• There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

• There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.