Describing Data

The prices at several different stores for a pair of shoes are shown below. $78, $79, $81, $82, $83 Two days later, another store had the same shoes on sale for $65. How does the new price affect the data?

• Only the range was affected

• The mean increased and the range increased

• The mean decreased and the range increased

• The mean decreased and the range decreased

Mrs. Jones surveyed the class for the number of letters in their given first name. The data is recorded below. {5, 8, 6, 5, 4, 9, 8, 7, 6, 3, 8, 7, 5, 6, 7, 8} What is the interquartile range of the data?

• 2

• 3

• 7

• 8

Samantha is conducting a study on how many hours her classmates spend watching TV in one week. Samantha surveyed half of her class. The following data set shows her results.

5, 6, 6, 7, 8, 9, 10, 11, 7, 8, 12, 12, 14, 4, 13, 22, 26

Which statement is the best interpretation of the data?

• The best estimate for the number of hours Samantha’s classmates spend watching TV per week should be found by finding the mean of the data set.

• The best estimate for the number of hours Samantha’s classmates spend watching TV per week should be found by finding the median of the data set.

• The best estimate for the number of hours Samantha’s classmates spend watching TV per week should be found by finding the mean of the data set after removing the outlier of 4.

• The best estimate for the number of hours Samantha’s classmates spend watching TV per week should be found by finding the median of the data set after the outliers of 22 and 26 are removed.

Sam’s scores for seven games of bowling are shown. 156, 177, 143, 151, 167, 161, 159 If Sam had scored 3 more points in each game, how would it have changed his mean score?

• It would decrease by 3 points.

• It would increase by 3 points.

• It would increase by a factor of 3.

• It would not change.

Mrs. Jones surveyed the class for the number of letters in their given first name. The data is recorded below.

{5, 8, 6, 5, 4, 9, 8, 7, 6, 3, 8, 7, 5, 6, 7, 8}

What is the interquartile range of the data?

• 2

• 3

• 7

• 8

The box-and-whisker plots below show the distribution of the heights, in inches, of the members of two basketball teams. Which statement is true?

• The median height of Team A is equal to the median height of Team B.

• The shortest player on Team B is 2 inches taller than the shortest player on Team A.

• The range of the heights of Team A is equal to the range of the heights of Team B.

• The tallest player on Team A is 2 inches shorter than the tallest player on Team B.

The ages of 11 senior citizens taking an art class are shown below.

{86, 92, 86, 80, 83, 80, 93, 92, 93, 84, 83}

Which box plot represents the ages of the senior citizens?

• 
• 
• 
• 

Which set of data is displayed in the box plot shown below?

• 5, 15, 6, 12, 12, 6, 10, 8

• 11, 14, 5, 7, 5, 9, 12, 15

• 15, 10, 6, 8, 5, 8, 10, 12

• 5, 8, 8, 5, 15, 12, 14, 12

The number of runs scored by the Lions for six games is shown below.

5, 9, 1, 5, 2, 7

If the Lions scored 13 runs in their seventh game, which statement is true?

• The median and the mean both remain the same.

• The mean and the median both increase.

• The median increases and the mean remains the same.

• The mean increases and the median remains the same.

The data sets show the test scores of a group for the last two tests.

Test 1: {75, 75, 85, 80, 65, 70, 65}

Test 2: {95, 85, 85, 90, 90, 95, 100}

Which data set had the smaller standard deviation?

• Test 1 with a standard deviation of 7.5

• Test 2 with a standard deviation of 7.5

• Test 1 with a standard deviation of 5.6

• Test 2 with a standard deviation of 5.6