Data and Statistics Math

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.

Use the information in the table to answer the question. The table shows the points scored for 3 basketball players in 5 games. Which statement is true?

• All 3 players have the same mean score.

• All 3 players have the same median score.

• Cheryl has the highest median score.

• Michael has the highest mean score.

A teacher analyzed the data from her class's recent tests by creating a box-and-whisker plot.

Which statement about the data is true?

• The median math score is 85.

• The upper quartile reading value is 98.

• Fifty percent of the math scores were between 70 and 85.

• Twenty-five percent of the reading scores were between 67 and 91.

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

What is the mean of the following set of numbers: 4, 8, 12, 16, 20?

Mathematical Equivalence

ON

What is the median of the following set of numbers: 3, 7, 9, 6, and 12?

• 6

• 7

• 9

• 5

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.

The heights of two rowing teams, in inches, are shown in the table.

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 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.