The document contains two tables of data with outliers added. For the first table on population density by state, adding Alaska's outlier of 1 person per square mile increases the mean from 13.6 to 11.5 while leaving the median and mode unchanged. For the second table on number of counties by state, adding Texas' outlier of 254 counties increases the mean from 98.2 to 124.16 while leaving the median unchanged at 99.
1. Name ___________________________________ Date __________________
Mrs. Labuski / Mrs. Rooney Period __________ Lesson 6-3 Additional Data
VOCABULARY DEFINITION EXAMPLE
An outlier is a value in a 22, 23, 28, 54, 25
OUTLIER
set of data that is much 54
greater or much less
than the other values.
Day of
Monday Tuesday Wednesday Thursday Friday
week
# of minutes
spent on 47 42 45 46 10
homework
The outlier is ____10______ because it is much _smaller_ than the other numbers.
Let’s see how the outlier affects the mean, median, and mode.
With the outlier: Without the outlier: Amount of Change
Mean ___38____ Mean ___45____ 7
Median __45_____ Median __45.5_____ 0.5
Mode __none_____ Mode _ none none
Which is most affected by the outlier? ___mean____________________________
When an outlier affects the mean, median, or mode, choose a value that best
describes the data. Which best describes the set of data above? ___median______
2. STATE PEOPLE
(per mi2)
Idaho 16
Nevada 18
New Mexico 15
North Dakota 9
South Dakota 10
Alaska 1
1. The table shows population data for some of the least-crowded states. Find the
mean, median, and mode of the data.
Mean: __13.6_______ Median: ___15____ Mode: __none______
2. Alaska has the lowest population density of any state. Only about 1 person per
square mile lives there. Add this number to the data in the table and find the mean,
median, and mode.
Mean: __11.5_______ Median: ___12.5____ Mode: __none______
Which is most affected by the outlier? ______median_______________________
Which best describes the set of data above? _____mea____________________
3. STATE NUMBER OF
COUNTIES
Illinois 102
Iowa 99
North Carolina 100
Tennessee 95
Virginia 95
Texas 254
1. The table shows population data for some of the states with the most counties.
Find the mean, median, and mode of the data.
Mean: __98.2_______ Median: ___99____ Mode: __95______
2. With 254 counties, Texas has more counties than any other state. Add this
number to the data in the table and find the mean, median, and mode.
Mean: __124.16_______ Median: ___99.5____ Mode: __95______
Which is most affected by the outlier? _____mean__________________________
Which best describes the set of data above? _median________________________
4. Name ___________________________________ Date __________________
Mrs. Labuski / Mrs. Rooney Period __________ Lesson 6-3 Additional Data
VOCABULARY DEFINITION EXAMPLE
22, 23, 28, 54, 25
OUTLIER
Day of
Monday Tuesday Wednesday Thursday Friday
week
# of minutes
spent on 47 42 45 46 10
homework
The outlier is ____________ because it is much _________ than the other numbers.
Let’s see how the outlier affects the mean, median, and mode.
With the outlier: Without the outlier: Amount of Change
Mean _______ Mean _______
Median _______ Median _______
Mode _______ Mode _______
Which is most affected by the outlier? __________________________________
When an outlier affects the mean, median, or mode, choose a value that best
describes the data. Which best describes the set of data above? ________________
5. STATE PEOPLE
(per mi2)
Idaho 16
Nevada 18
New Mexico 15
North Dakota 9
South Dakota 10
1. The table shows population data for some of the least-crowded states. Find the
mean, median, and mode of the data.
Mean: _________ Median: _______ Mode: _________
2. Alaska has the lowest population density of any state. Only about 1 person per
square mile lives there. Add this number to the data in the table and find the mean,
median, and mode.
Mean: _________ Median: _______ Mode: _________
Which is most affected by the outlier? __________________________________
Which best describes the set of data above? ______________________________
6. STATE NUMBER OF
COUNTIES
Illinois 102
Iowa 99
North Carolina 100
Tennessee 95
Virginia 95
1. The table shows population data for some of the states with the most counties.
Find the mean, median, and mode of the data.
Mean: _________ Median: _______ Mode: _________
2. With 254 counties, Texas has more counties than any other state. Add this
number to the data in the table and find the mean, median, and mode.
Mean: _________ Median: _______ Mode: _________
Which is most affected by the outlier? __________________________________
Which best describes the set of data above? ______________________________