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 below.

44 51 11 90 76 35 64 36 43 72 53 62 35 74 51   

72 36 28 38 61 47 63 35 41 21 36 51 46 85 13

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 nothing. ​(Round to the nearest tenth as​ needed.) ​

(b) Compare the four measures of central​ tendency, including the midrange.

Meanequals nothing ​(Round to the nearest tenth as​ needed.)

Medianequals nothing

Modeequals nothing ​(Use a comma to separate answers as​ needed.)

The midrange is found by the following formula.

StartFraction left parenthesis Maximum data entry right parenthesis plus left parenthesis Minimum data entry right parenthesis Over 2 EndFraction

Midrangeequals nothing ​(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?

A. It permits the comparison of the measures of central tendency.

B. It simply decreases the number of computations in finding the mean.

C. It eliminates potential outliers that could affect the mean of the entries.

D. It permits finding the mean of a data set more exactly.

Answer 1