Comparing Data and Variability

The ages of the starting players of two soccer teams are shown below. Knights: 16, 18, 15, 14, 17, 17, 18, 16, 17, 14, 17 Trojans: 18, 14, 17, 15, 15, 14, 16, 18, 16, 18, 16 Based on this data, select all the true statements below.

• The median of ages on the Knights team is greater than the median of ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the median of the ages on the Trojans team.

• The median of ages on the Knights team is one greater than the range of ages on the Trojans team.

• The mean of the ages on the Knights team is less than the mean of the ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the mean of the ages on the Trojans team.

Given the following distributions, which has the smallest IQR?

• Red

• Purple

• Black

Given the following distributions, which has the highest median?

• Red

• Purple

• Black

Given the following distributions, which is symmetric?

• Red

• Purple

• Black

Given a set of skewed data, which is an appropriate measure of spread?

• Mean

• Median

• Standard Deviation

• Interquartile Range (IQR)

Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?

• The low score causes the median to increase.

• The low score causes the median to decrease.

• The low score causes the mean to increase.

• The low score causes the mean to decrease.

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

• Only the range was affected.

• The median increased, and the range increased.

• The mean increased, and the range increased.

• The mean decreased and the range increased.

Given the following distributions, which is skewed to the left?

• Red

• Purple

• Black

Given the following distributions, which is skewed to the right?

• Red

• Purple

• Black

Which is a true statement based on the box plots above

• The data for Team B have the greater range.

• The data for Team A are more symmetric.

• The data for Team B have the greater interquartile range.

• The data for Team A have the greater median.