Question

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. 246 261 267 274 277 278 282 283 284 285 286 288 289 291 292 295 296 298 312 502 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The outlier(s) is/are pounds. (Type a whole number. Use a comma to separate answers as needed.) B. There are no outliers. The median is pounds. (Type an integer or decimal rounded to one decimal place as needed.) The untrimmed mean is pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 10% 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.) Compare the values. Choose the correct answer below. A. The median, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values. B. The median, untrimmed mean, and 20% trimmed mean are close to each other. However, the 10% trimmed mean is significantly different from those values. C. All of the values are close to each other. D. The untrimmed mean, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the median is significantly different from those values. E. The median, untrimmed mean, and 10% trimmed mean are close to each other. However, the 20% trimmed mean is significantly different from those values.

          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.
246 261 267 274 277 278 282 283 284 285 286 288 289 291 292 295
296 298 312 502
Identify any outliers. Select the correct choice below and, if
necessary, fill in the answer box to complete your choice.
A. The outlier(s) is/are pounds. (Type a whole number. Use a
comma to separate answers as needed.)
B. There are no outliers.
The median is pounds. (Type an integer or decimal rounded to one
decimal place as needed.)
The untrimmed mean is pounds. (Type an integer or decimal
rounded to one decimal place as needed.)
The 10% 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.)
Compare the values. Choose the correct answer below.
A. The median, 10% trimmed mean, and 20% trimmed mean are close
to each other. However, the untrimmed mean is significantly
different from those values.
B. The median, untrimmed mean, and 20% trimmed mean are close to
each other. However, the 10% trimmed mean is significantly
different from those values.
C. All of the values are close to each other.
D. The untrimmed mean, 10% trimmed mean, and 20% trimmed mean
are close to each other. However, the median is significantly
different from those values.
E. The median, untrimmed mean, and 10% trimmed mean are close to
each other. However, the 20% trimmed mean is significantly
different from those values.

Added by Mitchell S.

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