Measures of Center and Variation

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

• The mean will decrease
• The median will decrease
• The mean will increase
• The median will increase

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.

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.

A value that is much higher or much lower than the other values in a set of data.

• Outlier
• Box Plot
• Range
• Histogram

If 20 is added to the data set below, which statement will be true?
50, 55, 55, 60, 62

• The median will be 20
• The mode will increase
• The mean will increase
• The mean will decrease

Identify the outlier for the given data?

23, 34, 27, 7, 30, 26, 28, 31, 34

• 7

• 23

• 31

• 34

Your math grades are 90, 85, 0, 90, 80, 100, and 90. Which grade is the outlier?

• 90

• 0

• 80

• 100

Gabriella’s quiz grades are 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.

Which statistic is affected by extreme values?

• mean

• median

• mode

 

Which of the following is not sensitive to extreme values?

• The range

• The interquartile range

• The Standard Deviation

• The coefficient of variation