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? ______________________________