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 resist. 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 m 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. 248 261 268 273 275 279 282 283 284 284 287 288 289-292 293 296 296 299 310 504 (Type an integer or decimal rounded to one decimal place as needed.) The 20% trimmed mean is 2860 pounds (Type an integer or decimal rounded to one decimal place as needed) Compare the values. Choose the correct answer below. A. The untrimmed mean, 10% trimmed mean, and 20% trimmed mean are close to each other. However the median is significantly different from those values. B. The median, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values C. All of the values are close to each other. D. The median, untrimmed mean, and 20% trimmed mean are close to each other. However, the 10% trimmed mean 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

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 resist. 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 m 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. 248 261 268 273 275 279 282 283 284 284 287 288 289-292 293 296 296 299 310 504 (Type an integer or decimal rounded to one decimal place as needed.) The 20% trimmed mean is 2860 pounds (Type an integer or decimal rounded to one decimal place as needed) Compare the values. Choose the correct answer below. A. The untrimmed mean, 10% trimmed mean, and 20% trimmed mean are close to each other. However the median is significantly different from those values. B. The median, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values C. All of the values are close to each other. D. The median, untrimmed mean, and 20% trimmed mean are close to each other. However, the 10% trimmed mean 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

Answer 1

To find the

trimmed mean, we first need to arrange the data in ascending order:

Next, we need to delete the bottom

of the values and the top

of the values. In this case, the bottom

value is

and the top

value is

. After deleting these values, we have:

Now, we can calculate the mean of the remaining values:

trimmed mean =

The

trimmed mean is already given as

.Now, let's compare the values:The untrimmed mean is the average of all the values in the data set. To find the untrimmed mean, we add up all the values and divide by the total number of values:Untrimmed mean =

The median is the middle value when the data is arranged in ascending order. Since there are 20 values in the data set, the median will be the average of the 10th and 11th values:Median =

Comparing the values, we can see that the median,

trimmed mean, and

trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values.Therefore, the correct answer is B. The median,

trimmed mean, and

trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values.

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