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# Trimmed Mean Because the mean is very sensitive to extreme

ISBN: 9780321836960 18

## Solution for problem 35BSC Chapter 3.2

Elementary Statistics | 12th Edition

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Problem 35BSC

Trimmed Mean Because the mean is very sensitive to extreme values, we say that 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, and then calculate the mean of the remaining values. Refer to the BMI values for females in Data Set 1 in Appendix B, and change the highest value from 47.24 to 472.4, so the value of 472.4 is an outlier. Find (a) the mean; (b) the 10% trimmed mean; (c) the 20% trimmed mean. How do the results compare?

Step-by-Step Solution:

Step 1 of 3</p>

 BMI 22.13 27.2 29.21 35.4 26.79 20.85 25.68 36.38 18.71 19.43 47.24 24.91 26.6 33.11 28.65 24.96 20.31 41.28 20.85 26.21 17.62 37.48 26.36 44.6 23.7 24.22 33.68 20.37 26.41 29.02 31.21 29.18 25.89 23.5 39.98 24.8 27.2 42.77 31.3 22.44

(a) The "Mean" is computed by adding all of the numbers in the data together and dividing by the number elements contained in the data set.

Mean = = 28.4407

Step 2 of 2

##### ISBN: 9780321836960

The full step-by-step solution to problem: 35BSC from chapter: 3.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. This full solution covers the following key subjects: mean, values, trimmed, data, resistant. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The answer to “Trimmed Mean Because the mean is very sensitive to extreme values, we say that 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, and then calculate the mean of the remaining values. Refer to the BMI values for females in Data Set 1 in Appendix B, and change the highest value from 47.24 to 472.4, so the value of 472.4 is an outlier. Find (a) the mean; (b) the 10% trimmed mean; (c) the 20% trimmed mean. How do the results compare?” is broken down into a number of easy to follow steps, and 127 words. Since the solution to 35BSC from 3.2 chapter was answered, more than 412 students have viewed the full step-by-step answer.

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