Dr. K is interested in studying variability in the indicators of adult health in
ID: 3129511 • Letter: D
Question
Dr. K is interested in studying variability in the indicators of adult health in the United States. He requested summary data from the U.S. health department, and received following data.
Mean
variance
weight
150 lbs.
441 lbs.
Cholesterol level
195 mg/dL
745.29 mg/dL
Blood pressure
120 mmHg
282.24 mmHg
Since all these measures are adult health indicators in the U.S., Dr. K assumed that they are equally variable. Is his assumption correct? If not, rank order (highest to lowest) the variability of above three indicators. Please provide numerical values of the correct measure of variability that you used to answer the question.
Mean
variance
weight
150 lbs.
441 lbs.
Cholesterol level
195 mg/dL
745.29 mg/dL
Blood pressure
120 mmHg
282.24 mmHg
Explanation / Answer
We use the coefficient of variation, as that is unitless. [ANSWER: USE COEFFICIENT OF VARIATION]
COV = s/X
hence:
COV(weight) = sqrt(441)/150 = 0.14
COV(chol) = sqrt(745.29)/195 = 0.14
BOC(blood) = sqrt(282.24)/120 = 0.14
Hence, THEY ARE EQUALLY VARIABLE. HIS ASSUMPTION WAS CORRECT. [ANSWER]
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