Central Tendency

In which dataset is the median equal to the mean?

• {2, 4, 6, 7, 8}

• {12, 18, 20, 23, 24}

• {16, 17, 18, 19, 20}

• {50, 60, 65, 75, 85}

The average (mean) of 5 numbers is 32. If four of the numbers are 28, 31, 35, and 34, what is the fifth number?

• 29

• 32

• 33

• 30

A small bakery sold the following number of muffins over five days:

72, 65, 80, 75, x

If the mean number of muffins sold per day is 73, what is the value of x?

• 70

• 68

• 73

• 77

The ages of students in a study group are:

20, 22, 23, 25, 25, 25, 28, 30, 35

What is the mode of the ages?

• 25

• 23

• 28

• No mode

A basketball player's scores in 5 games were:

12, 18, 15, 22, 13

If she scores 30 in her 6th game, what happens to the mean?

• The mean decreases

• The mean stays the same

• The mean increases

• Cannot be determined

A dataset contains the following weights (in lbs):

125, 135, 130, 140, 150, 135, 160, 135

Which measure of central tendency is most affected if the value 300 is added?

• Mean

• Median

• Mode

• None of the above

A student receives the following grades:

70,80, 90, and 100. What score must they earn on the 5th test to have an average of 88?

• 100

• 110

• 90

• 95

The math scores for eight students on a recent test are:

72, 85, 91, 91, 67, 88, 75, 91

Which of the following statements is true about the measures of central tendency for the data set?

• The mean is greater than the median and the mode

• The median is equal to the mode

• The mode is greater than both the mean and the median

• The mean and median are equal, but are less than the mode

The mean of 5 numbers is 86. Four of the number are: 92, 85, 88, 79. What is the missing number?

• 86

• 87

• 90

• 92

The scores on a test were:

72, 85, 93, 85, 90, 85, 100, 60, 85

What is the mode, mean, and median?

• Mode = 85, Mean = 83.9, Median = 85

• Mode = 85, Mean = 83.0, Median = 85

• Mode = 85, Mean = 83.9, Median = 90

• Mode = 85, Mean = 83.0, Median = 90