Last summer, one of your friends was very bored. In order to keep herself engage
ID: 3303131 • Letter: L
Question
Last summer, one of your friends was very bored. In order to keep herself engaged, she thought of undertaking a statistics project. Hence, she started surveying people around the ASU campus and collected information on their gender, age (in years), monthly household income, and the number of hours they spent in front of the television every day. However, she soon felt that statistics was driving her to further boredom. Thus, she stopped after collecting 5 observations. Next, suppose you want to calculate a measure of dispersion for the variables Age, TV Hours, and HH Income. However, you want the measure to be unit free. From your knowledge of the measures of dispersion discussed in class, which measure would you use?
.
Observation No.
Gender
Age
TV Hours
HH Income
1
M
7
0.5
0
2
M
48
4
5,000
3
F
55
5
7,000
4
F
60
6
7,100
5
M
45
4
4,500
Select one:
a. Variance
b. Trimmed mean
c. Coefficient of variation
d. Standard deviation
Observation No.
Gender
Age
TV Hours
HH Income
1
M
7
0.5
0
2
M
48
4
5,000
3
F
55
5
7,000
4
F
60
6
7,100
5
M
45
4
4,500
Explanation / Answer
Variance, standard deviation and trimmed mean all three will be having units but coefficient of variation represents the ratio of standard deviation to mean and therefore, it will be unitless.
Option C is correct.
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