Students in an experimental psychology class did research on depression as a sig

Question

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 above.

to find the 10% trimmed mean of the 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.

b)compare the four measures of central tendency, including the midrange.

mean=

median=

mode=

midrange=( maximum data entry)+(minimum data entry)/2=

c) what is the benefit of using the trimmed mean versus using a mean using all data entries?

a)it simply decreases the number of computations in finding the mean

b)it permits the comparisons of the measures of central tendency

c) it permits finding the mean of a data set more exactly

d)it eliminates the potential outliers that could affect the mean of the entries

43 51 11 92 76 35 64 36 42 72 51 54 62 35 74 72 36 28 38 61 48 63 35 41 22 36 51 47 85 13

Explanation / Answer

For 10% trimmed mean, we delete the top 3 and bottom 3 values.

A) Trimmed mean is 48.95

B) Comparison is shown below

C) The correct answer is D. A trimmed mean  eliminates the potential outliers that could affect the mean of the entries

Trimmed Normal Mean 48.95833 49.13333 Median 47.5 47.5 Mode 35 35 Midrange 51 51.5

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