Mean and Median Comparison

The data in the chart shows the recorded high temperatures for the first eight days of July and the first eight days of August.

Based on the data, which statement is true?

• The data from both months have the same median, and August has a higher mean.

• The data from both months have the same median, and July has a higher mean.

• The data from August has both a higher median and a higher mean.

• The data from July has a higher median, and the mean is the same.

The table shows the number of runs scored by the North Middle School softball team in the first four games of the season.

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

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.

The mean would be _________ the median in this data distribution.

• greater than

• equal to

• less than

The mean would be _________ the median in this data distribution.

• greater than

• equal to

• less than

• The mean is one point lower than the median

• The mean is four points lower than the median

• The mean is one point higher than the median

• The mean is four points higher than the median

• A

• B

• C

• D

Which is true?

• Mean < Median

• Mean = Median

• Mean > Median

Which is true?

• Mean < Median

• Mean = Median

• Mean > Median