Comparing Mean and Median

One week, Kyasia drove to work. The next week, she rode the train. Each day, she recorded how long it took in minutes. What can Kyasia infer from the two data sets?

• The time it take to get to drive to work is more consistent than the time it takes to take the train.

• Based on the mean, it generally takes longer to take the train to work.

• In terms of time, it is less consistent to drive than it is to take the train to work.

• It's impossible to make any inferences based on the data display.

Which statement is true?

• Set A has the lesser range

• Set B has the greater median

• Set A has the greater mean

• Set B is less symmetric than Set A

What is the difference between the medians for the two data sets? 

• 0 tickets

• 2 tickets

• 4 tickets

• 6 tickets

What is the difference between the medians for cars and SUVs?

• 0

• 5

• 7

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

• Mean

• Median

• Mode

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 a set of symmetric data, which of the following is an appropriate measure of the center?

• Mean

• Median

• Mode