additional data and outliers #29. the mean, median, and mode may change when you add data to a data...
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Additional Data and Outliers#29
The mean, median, and mode may change when you add data to a data set.
F.Y.I.
Example 1: Sports Application
A. Find the mean, median, and mode of the data in the table.
757511Games
20022001200019991998Year
EMS Football Games Won
B. EMS also won 13 games in 1997 and 8 games in 1996. Add this data to the data in the table and find the mean, median, and mode.
Example 2
A. Find the mean, median, and mode of the data in the table.
1164613Games
20022001200019991998Year
MA Basketball Games Won
B. EMS won 26 games in 2003. Add this data to the table and find the mean, median, and mode.
An outlier is a value in a set that is very different from the other values.
VOCABULARY
Additional Example 2: Application
Ms. Gray is 25 years old. She took a class with students who were 55, 52, 59, 61, 63, and 58 years old. Find the mean, median, and mode with and without Ms. Gray’s age.
Example 3
Ms. Pink is 56 years old. She volunteered to work with people who were 25, 22, 27, 24, 26, and 23 years old. Find the mean, median, and mode with and without Ms. Pink’s age.
Example 4
Use the data from Exercise 2a. Suppose Ms. Pink and the same volunteers are still working together in 3 years. What do you think the value of the mean without Ms. Pink’s age will be? Explain.
Example 5: Describing a Data Set
The Yorks found 8 pairs of skates with the following prices: $35, $42, $73, $40, $47, $35, $45, and $41.
What are the mean, median, and mode of this data set? Which statistic best describes the data set?
Example 6
The Oswalds found 8 pairs of gloves with the following prices: $17, $15, $39, $12, $13, $18, $19, and $13. What are the mean, median, and mode of this data set? Which statistic best describes the data set?
Example 7
Identify the outlier from Exercise 3a. How does it make the mean fail to represent the data well? Justify your answer.
Some data sets, such as {red, blue, red}, do not contain numbers.
In this case, the only way to describe the data set is with the mode.
F.Y.I.