11.5 Appropriate Measures

​11.5 Appropriate Measures

• ​We will determine the Best Measure of Center to use when describing Data.

• We will identify Outliers and their effect on the Measure of Center.

Multiple Choice

What are the Measures of Center?

• Q1, Q3, IQR and Range

• Numbers much larger or much smaller than the data set. Numbers that "lie outside" the other values

• Mean, Median and Range

• Mean, Median and Mode

Multiple Choice

What are the Measures of Variation?

• Q1, Q3, IQR and Range

• Numbers much larger or much smaller than the data set. Numbers that "lie outside" the other values

• Mean, Median and Range

• Mean, Median and Mode

Multiple Choice

What are outliers?

• Q1, Q3, IQR and Range

• Numbers much larger or much smaller than the data set. Numbers that "lie outside" the other values

• Mean, Median and Range

• Mean, Median and Mode

​Sometimes, one measure is more appropriate than others to summarize a data set.

Multiple Choice

What Measure of Center is appropriate when data may have repeated numbers?

• Mean

• Median

• Mode

Multiple Choice

What Measure of Center is appropriate when the data have no extreme values?

• Mean

• Median

• Mode

Multiple Choice

What Measure of Center is appropriate when the data has extreme values but there are no big gaps in the middle of the data?

• Mean

• Median

• Mode

​No Extreme Measures : Mean

​No Extreme Measures but many repeated numbers : Mode

​Extreme Value : Median

​207, 1033, 1231, 1332

Multiple Choice

Which Measure of Center best represents the ages shown?

• Mean

• Median

• Mode

Multiple Choice

What is the Mode?

• 12

• 13

• 14

​To find the Best Measure of Center with an Outlier

• Calculate the Mean with and without the Outlier

• Calculate the Median with and without the Outlier

​

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The Measure of Center that is LEAST affected by the Outlier is the Best Measure of Center

Multiple Choice

What is the outlier?

• 11

• 13

• 9

• 43

Multiple Choice

What is the mean with the outlier

• 11

• 19

• 33

• 76

Multiple Choice

What is the mean without the outlier?

• 11

• 19

• 33

• 76

Multiple Choice

What is the Median with the outlier?

• 12

• 11

• 33

• 76

Multiple Choice

What is the Median with the outlier?

• 12

• 11

• 33

• 76

Multiple Choice

What is the Best Measure of Center?

• Median

• Mean