1. Additional Data and Outliers

2. Additional Data and Outliers
Definition:
Outlier – Is a value in a data set that is very different than the other values.

3. Additional Data and Outliers Money Spent by Mark at the Mall
Identify the outlier of each data set.
1.) Scores of Billy’s recent math tests: 90, 62, 89, 92 and 92
2.) Points scored by Sarah in her basketball games this season:
6, 5, 8, 7, 6 and 20
3.)
Money Spent by Mark at the Mall
September
October
November
December
January
$22
$15
$25
$125
$10

4. Additional Data and Outliers
U.S. Winter Olympics Medals Won
Year
1980
1984
1988
1992
1994
1998
2002
2006
Medals 12 8 6 11 13 34 25
A.) Find the mean, median, mode of the number of Winter Olympic Medals that the U.S. has won using the table above.

5. Additional Data and Outliers
U.S. Winter Olympics Medals Won
Year
1980
1984
1988
1992
1994
1998
2002
2006
Medals 12 8 6 11 13 34 25
B.) The U.S. also won 37 medals in 2010 and 28 in Include this data to the table and find the new mean, median and mode.
C.) How does the new data affect the mean, median and mode?

6. Additional Data and Outliers
In 2001, 64-year old Sherman Bull became the oldest American at that time to reach the top of Mount Everest. Other climbers to reach the summit that day were 33, 31, 31, 32, 33 and 38.
A.) Find the mean, median and mode with and without Bull’s age.
B.) How does Bull’s age affect the mean, median and mode?
Without Bull’s Age
With Bull’s Age
Mean
Median
Mode

7. Additional Data and Outliers
Describing Data Sets
As you know, not all data is the same. As a result, the best measure of central tendency to use when describing a data set can vary from one scenario to another. Below is a good guide to help you determine which measure of central tendency to use to best describe a data set.
Mean: Use the mean if the data is evenly spread out and there are no outliers.
Median: Good to use in most situations, especially when outliers are present.
Mode: Only use the mode if your data can be categorized, such as colors or team names – basically, data sets that don’t contain numbers.
Range: - NEVER use the range to describe a data set.

8. Additional Data and Outliers
Mia is shopping for a new bike. She found 7 bikes with the following prices: $175, $180, $130, $150, $500, $160, $180,
A.) Find the mean, median, and mode of the data above.
B.) Which one best describes the data set?