Comparing Sets of Data Central Tendency

The two data sets are random samples of profits earned by two companies in the last seven years. Based on the data sets, which measure of center will provide the most accurate estimation of the profit earned by each company, and why?

• The mean; the data sets have outliers that will affect the median.

• The mean; both companies have the same number of values in the data set.

• The median; the data sets have outliers that will affect the mean.

• The median; both companies have the same number of values in the data set.

Which team has the larger average height, and what is that average?

• Junior Varsity; 70

• Junior Varsity; 71

• Varsity; 70

• Varsity; 71

The table shows the number of pepperoni and sausage pizzas sold by a local restaurant over a 5 day week. Part A: Calculate the median number of pepperoni pizzas sold and show your work. Part B: Calculate the median number of sausage pizzas sold and show your work. Part C: What is the difference between the median number of pepperoni pizzas sold and the median number of sausage pizzas sold?

• 1

• 2

• 3

• 4

Patrick plays football for his middle school. The table below shows Patrick's rushing yards for the first five games of the season. Which measure of central tendency would best represent Patrick's rushing yards during the first five games of the season?

• The mean. Because it is 25 yards higher than the median.

• The mean. Because it shows how many yards Patrick averages each game.

• The median. Because it is 25 yards higher than the mean.

• The median. Because the mean is influenced by an outlier number.

The line plots show the test scores of 10 students who regularly attended weekly tutoring sessions and 10 students who did not attend any tutoring sessions.

Which is a valid inference based on the data?

• Every student who attended tutoring had a higher score than those who did not.

• On average, students who attended tutoring scored higher than students who did not.

• On average, students who attended tutoring scored about the same as students who did not.

• Attending tutoring had no effect on students’ test scores.

How many runs must the North Middle School softball team score in the fifth game so that the mean and median of the data will be the same?

• 9 runs

• 10 runs

• 11 runs

• 12 runs

Which measure is best to base a comparison of the typical home price in the 2 neighborhoods?

• mean

• median

• mode

• interquartile range

The table shows the bowling scores of two bowlers in a five-game set. In bowling, the highest score of each game wins.

Which statement is true?

• Bowler 1’s median score is 13 points higher than Bowler 2’s median score, and Bowler 1 is generally a better bowler than Bowler 2.

• Bowler 1’s median score is 13 points lower than Bowler 2’s median score, and Bowler 1 is generally a worse bowler than Bowler 2.

• Bowler 1’s median score is 35 points higher than Bowler 2’s median score, and Bowler 1 is generally a better bowler than Bowler 2.

• Bowler 1’s median score is 35 points lower than Bowler 2’s median score, and Bowler 1 is generally a worse bowler than Bowler 2.

An inventor built a machine to sort apples by weight. She then used the machine to sort apples from 2 different orchards. The results are shown in the plots. Each dot represents 20 apples.

Which statement about the 2 samples is true?

• The sizes of the apples from Orchard A tend to be larger and less consistent than the sizes of the apples from Orchard B.

• The sizes of the apples from Orchard A tend to be smaller and more consistent than the sizes of the apples from Orchard B.

• The sizes of the apples from Orchard A tend to be smaller and less consistent than the sizes of the apples from Orchard B.

• The sizes of the apples from Orchard A tend to be larger and more consistent than the sizes of the apples from Orchard B.

Lizzie is comparing the heights of the high school basketball team to the middle school basketball team in her hometown. The high school team's heights have a Mean Absolute Deviation of 1.2, and the middle school team's heights have a Mean Absolute Deviation of 2.7. What conclusion can Lizzie draw about the two teams?

• The heights of the players on the high school team vary more than the heights of the players on the middle school team.

• The heights of the players on the high school team vary less than the heights of the players on the middle school team.

• The two teams appear to have players that are the same height.

• There is not enough information given to compare the heights of players on each team.