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The 20% trimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.)

The 20% trimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use the axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 246 261 269 274 277 278 282 282 285 285 O no 287 288 290 290 292 295 296 300 311 505 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The outlier(s) is/are 505 pounds. (Type a whole number. Use a comma to separate answers as needed.) O B. There are no outliers. The median is 286 pounds. (Type an integer or decimal rounded to one decimal place as needed.) The untrimmed mean is 294.7 pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 10% trimmed mean is 285.6 pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 20% trimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.)
Transcribed Image Text:Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use the axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 246 261 269 274 277 278 282 282 285 285 O no 287 288 290 290 292 295 296 300 311 505 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The outlier(s) is/are 505 pounds. (Type a whole number. Use a comma to separate answers as needed.) O B. There are no outliers. The median is 286 pounds. (Type an integer or decimal rounded to one decimal place as needed.) The untrimmed mean is 294.7 pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 10% trimmed mean is 285.6 pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 20% trimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.)
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