Math Mean Median Data

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.

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days. Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

• Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

• Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

• There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

• There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

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.

In a data set, the mean is 10, and the median is 12. Which of the following statements is true?

• The data set is evenly distributed.

• The data set is skewed to the left.

• The data set is skewed to the right.

• The mean and median cannot be different.

Find the median of the data set.

• 3

• 7

• 10

• 14

What is the median of the data set [3, 7, 9, 13, 15]?

• 7

• 9

• 11

• 13

What is the median of the data?

• 200

• 100

• 90

• 140

If the mean of five numbers is 14, and four of the numbers are 12, 14, 16, and 18, what is the fifth number?

• 10

• 12

• 14

• 16

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

Mathematical Equivalence

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