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Trimmed Mean Because the mean is very sensitive to extreme

Chapter 3, Problem 35BSC

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QUESTION:

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?

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QUESTION:

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?

ANSWER:

Answer:

Step 1 of 3

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

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