Describing Quantitative Data

If 10 is added to every value in a set of data, what will happen to the value of the mean?

• it will increase by 10

• it will decrease by 10

• it will stay the same

• it will both increase and decrease

If 10 is added to every value in a set of data, what will happen to the value of the median?

• it will increase by 10

• it will decrease by 10

• it will stay the same

• it will both increase and decrease

If the last value in the data set is increased by 20, what will happen to the mean, median and range?

• the mean and median will increase, but the range will stay the same

• the mean, median, and range will increase

• the mean and range will increase, but the median will stay the same

• the median and range will increase, but the mean will stay the same

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.

Find the IQR of the following numbers:

16, 72, 74, 84, 88, 94, 98

• 78

• 22

• 16

• 72 to 94

Which of the following would be most appropriate to report when describing the center and spread of the following distribution of test scores:

• mean and standard deviation

• mean and IQR

• median and IQR

• median and standard deviation

Find the mean, median, quartile 1, quartile 3, IQR, Min and Max of the distribution.

Complete the following

What is the mean of a data set?

Make sure to give formula and brief description.

Determine if there are any outliers for the given distribution.