ean is (Round to the nearest tenth as needed.) measures of central tendency, including the midrange. the nearest tenth as needed.) mma to separate answers as needed.) d by the following formula. entry) + (Minimum data entry)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students.The scores are shown below.
43 51 11 91 77 36 64 37 42 72 54 62 36 75 51 D
72 37 29 39 61 48 63 36 41 21 37 51 47 86 14
To find the 10% trimmed mean of a data set, order the data, delete the lowest 10% of the entries and the highest 10% of the entries, and find the mean of the remaining entries. Complete parts (a) through (c).
(a) Find the 10% trimmed mean for the data.
The 10% trimmed mean is
(Round to the nearest tenth as needed.)
(b) Compare the four measures of central tendency, including the midrange.
Mean =
(Round to the nearest tenth as needed.)
Median =
Mode =
(Use a comma to separate answers as needed.)
The midrange is found by the following formula.
(Maximum data entry) + (Minimum data entry)
Midrange =
(Round to the nearest tenth as needed.)
(c) What is the benefit of using a trimmed mean versus using a mean found using all data entries?
O A. It permits the comparison of the measures of central tendency.
B. It permits finding the mean of a data set more exactly.
C. It eliminates potential outliers that could affect the mean of the entries.
D. It simply decreases the number of computations in finding the mean.
Transcribed Image Text:Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students.The scores are shown below. 43 51 11 91 77 36 64 37 42 72 54 62 36 75 51 D 72 37 29 39 61 48 63 36 41 21 37 51 47 86 14 To find the 10% trimmed mean of a data set, order the data, delete the lowest 10% of the entries and the highest 10% of the entries, and find the mean of the remaining entries. Complete parts (a) through (c). (a) Find the 10% trimmed mean for the data. The 10% trimmed mean is (Round to the nearest tenth as needed.) (b) Compare the four measures of central tendency, including the midrange. Mean = (Round to the nearest tenth as needed.) Median = Mode = (Use a comma to separate answers as needed.) The midrange is found by the following formula. (Maximum data entry) + (Minimum data entry) Midrange = (Round to the nearest tenth as needed.) (c) What is the benefit of using a trimmed mean versus using a mean found using all data entries? O A. It permits the comparison of the measures of central tendency. B. It permits finding the mean of a data set more exactly. C. It eliminates potential outliers that could affect the mean of the entries. D. It simply decreases the number of computations in finding the mean.
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