Comparing Sets of Data Central Tendency

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.

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 U.S. House of Representatives has 435 members. The data sets consist of random samples of their ages taken on 3 consecutive days. Data Set 1: 46, 52, 55, 82, 67, 52, 43, and 57. Data Set 2: 66, 53, 55, 47, 49, 41, 54, and 56. Data Set 3: 48, 61, 29, 46, 69, 39, 59, and 40. Which can be a conclusion based on the data?

• There are too few data points to make a conclusion.

• The outliers in some of the data sets will affect the mean.

• The data is unreliable because they were taken by different people.

• The data is unreliable because they were taken on 3 consecutive days.

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.

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

Question 31

• 1

• 2

• 3

• 4

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

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

Set A's mean is ​ (c)   Set A's median.

• greater than

• less than

• equal to

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