Comparing Central Tendency Two Data Sets

The heights of two groups of students in different grades are shown in the box-and-whisker plot. Which statement CORRECTLY compares the two data sets?

• The maximum of Group A is greater than the maximum of Group B.

• The minimum of Group A is greater than the minimum of Group B.

• The median of Group B is greater than the median of Group A.

• The median of Group A is greater than the median of Group B.

The table represents the scores of ten students in Ms. Williams’s class on a math and science test. Which statement correctly compares the two sets of data?

• The mean score in Math is greater than the mean score in Science.

• The interquartile range of Math scores is greater than the interquartile range of Science scores.

• The scores in Math are more consistent than the scores in Science.

• The range of Science scores is greater than the range of Math scores.

An amusement park debuted a new roller coaster this season, and Peter, the park manager, is interested in the number of people who are riding it. The two data sets below represent the number of riders during the first two weeks of June. Rather than look at all those numbers, Peter wants to select a measure of central tendency that he can use to compare the attendance from week to week. Peter understands that many visitors want to ride the most popular attractions; therefore, he does not want outlier data to have too great an impact. Given that consideration, which measure of central tendency should Peter use to compare the attendance of week 1 to the attendance of week 2?

• Peter should compare the median attendance of week 1 to the median attendance of week 2.

• Peter should compare the median attendance of week 1 to the mean attendance of week 2.

• Peter should compare the mean attendance of week 1 to the median attendance of week 2.

• Peter should compare the mean attendance of week 1 to the mean attendance of week 2.

Which of the following is an inference that could be made from this data?

• 25% of team 1 is shorter than team 2

• 75% of team 2 is taller than team 1

• 50% of the teams are the exact same height

• 25% of team 1 is the same height as 50% of team 2

The mean of Data Set A is ​ (a)   the mean of Data Set B.

The median of Data Set A is ​ (b)   the median of Data Set B.

• 3 less than

• 1 more than

• 1 lessthan

• 2 more than

• 2 less than

• 3 more than

• 4 more than

• 4 less than

• equal to

What is the difference between the medians for the two data sets? 

• 0 tickets

• 2 tickets

• 4 tickets

• 6 tickets

Question 31

• 1

• 2

• 3

• 4

The graphs below show the number of touchdowns each of two teams scored during the last football season. What is the approximate difference between the means of the teams' touchdowns?

• 0.7

• 1

• 1.75

• 3

Which is the best description of the data?

• mean=median

• mean is higher than median

• mean is lower than median

• mode =median

Select the best answer.

• A

• B

• C

• D

• E