In: Statistics and Probability
A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values are matched so that
1010
subjects each have a systolic and diastolic measurement. Find the coefficient of variation for each of the two samples; then compare the variation.
Systolic |
118118 |
128128 |
158158 |
9494 |
158158 |
122122 |
118118 |
138138 |
126126 |
122122 |
|
|||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Diastolic |
8181 |
7676 |
7676 |
5454 |
8989 |
8989 |
5858 |
6565 |
7272 |
8282 |
The coefficient of variation for the systolic measurements is
14.6 14.6%.
(Type an integer or decimal rounded to one decimal place as needed.)
The coefficient of variation for the diastolic measurements is
15.8 15.8%.
(Type an integer or decimal rounded to one decimal place as needed.)
Compare the variation.
The coefficients of variation for each data set are
within 5 percentage points of each other.
within 5 percentage points of each other.
more than 5 percentage points apart.
Therefore, the systolic measurements vary
about the same as
significantly more than
about the same as
significantly less than
the diastolic measurements.
Please check the data as data is not correctly uploaded there is some error. So I counted the two numbers as one.
Please do the comment if there are any changes in data I will edit my answer. Thank You!
The given data is
systolic | diastolic |
118 | 81 |
128 | 76 |
158 | 76 |
94 | 54 |
158 | 89 |
122 | 89 |
118 | 58 |
138 | 65 |
126 | 72 |
122 | 82 |
Using excel<data<megastat<descriptive statistics
Here is the output:
Descriptive statistics | ||
systolic | diastolic | |
count | 10 | 10 |
mean | 128.20 | 74.20 |
sample standard deviation | 19.24 | 12.07 |
sample variance | 370.18 | 145.73 |
minimum | 94 | 54 |
maximum | 158 | 89 |
range | 64 | 35 |
skewness | 0.22 | -0.47 |
kurtosis | 0.41 | -0.80 |
coefficient of variation (CV) | 15.01% | 16.27% |
The coefficient of variation for the systolic measurements is 15.0%
The coefficient of variation for the diastolic measurements is 16.3%
The coefficients of variation for each data set are within 5 percentage points of each other.
Therefore, the systolic measurements vary about the same as the diastolic measurements.
Please check the data first.
Please do the comment for any doubt or clarification.