Mean, Median, Mode and Outliers

A realtor wants to give a customer an idea of housing prices in a neighborhood. All the houses are priced within $20,000 of one another, except one house that is much larger and more expensive than the rest. Which measure(s) of central tendency will be most affected by the one expensive house?

• Mode only

• Mean only

• Both mode and mean

• Both mean and median

The hourly salaries of the workers at a restaurant are shown below.
$7.75, $8.50, $7.25, $9.00, $30.00, $8.25, $7.75, $9.00
Which statement is true?

• The worker who earns $7.25 an hour causes the mean to be a better representation of the typical salary than the median.

• The worker who earns $7.25 an hour causes the median to be  a better representation of typical salary than the mean.

• The worker who earns $30.00 an hour causes the mean to be a better representation of the typical salary than the median.

• The worker who earns $30.00 an hour causes the median to be a better representation of the typical salary than the mean.

A data set contains only one outlier. Which statistical measure will most likely remain the same if the outlier is removed?

• Mean

• Mode

• Range

• Standard deviation

Find the mode of the data set.

14, 20, 16, 14, 18, 20, 19, 13, 15, 17

• No mode

• 14

• 20

• both 14 and 20

An outlier is most likely to have the biggest impact on which of these?

• Mean

• Median

• Mode

• Range

• IQR

The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?

• 99 was the highest score on the test.

• More students received a 94 than any other score

• No student scored below a 50

• A score of 91 was slightly below average.

Find the mean of the data set.

31, 20, 51, 31, 27

• 32

• 51

• 27

• 30

Find the median of the data.

20, 30, 45, 90, 60, 45, 5, 10, 30, 45, 15, 25

• 35

• 30

• no median

• 45

A(n) ____ of a data set is much greater or much less than the other data values.

• mean

• median

• mode

• outlier

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

• 13

• 12

• 11

• 10