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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______
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____________________
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________________________
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? ________________
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? ______________________________
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? ______________________________

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Lesson 6 3 additional data & outliers

  • 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? ______________________________