A sample of blood pressure measurements is taken from a data set and those value
ID: 3351791 • Letter: A
Question
A sample of blood pressure measurements is taken from a data set and those values (mm Hg) are listed below. The values are matched so that subjects each have systolic and diastolic measurements. Find the mean and median for each of the two samples and then compare the two sets of results. Are the measures of center the best statistics to use with these data? What else might be better?
Systolic:
138138
103103
142142
149149
129129
102102
118118
159159
155155
156156
Diastolic:
8585
6262
8484
7373
5151
5656
8383
8181
7474
6969
Find the means.
The mean for systolic is
nothing
mm Hg and the mean for diastolic is
nothing
mm Hg.
(Type integers or decimals rounded to one decimal place as needed.)
Find the medians.
The median for systolic is
nothing
mm Hg and the median for diastolic is
nothing
mm Hg.
(Type integers or decimals rounded to one decimal place as needed.)
Compare the results. Choose the correct answer below.
A.
The mean is lower for the diastolic pressure, but the median is lower for the systolic pressure.
B.
The median is lower for the diastolic pressure, but the mean is lower for the systolic pressure.
C.
The mean and median appear to be roughly the same for both types of blood pressure.
D.
The mean and the median for the diastolic pressure are both lower than the mean and the median for the systolic pressure.
E.
The mean and the median for the systolic pressure are both lower than the mean and the median for the diastolic pressure.
Are the measures of center the best statistics to use with these data?
A.
Since the sample sizes are equal, measures of center are a valid way to compare the data sets.
B.
Since the systolic and diastolic blood pressures measure different characteristics, only measures of center should be used to compare the data sets.
C.
Since the sample sizes are large, measures of center would not be a valid way to compare the data sets.
D.
Since the systolic and diastolic blood pressures measure different characteristics, a comparison of the measures of center doesn't make sense.
What else might be better?
A.
Since measures of center would not be appropriate, it would make more sense to talk about the minimum and maximum values for each data set.
B.
Since measures of center are appropriate, there would not be any better statistic to use in comparing the data sets.
C.
Because the data are matched, it would make more sense to investigate any outliers that do not fit the pattern of the other observations.
D.
Because the data are matched, it would make more sense to investigate whether there is an association or correlation between the two blood pressures.
More
Systolic:
138138
103103
142142
149149
129129
102102
118118
159159
155155
156156
Diastolic:
8585
6262
8484
7373
5151
5656
8383
8181
7474
6969
Explanation / Answer
Using simple formulae to calculate the mean and the median, we have:
The mean for systolic is 135235.1 mm Hg and the mean for diastolic is 7251.8 mm Hg.
The median for systolic is 140140 mm Hg and the median for diastolic is 7423.5 mm Hg.
Comparing the results. Since the values for Systolic pressure are higher than the values for diastolic pressure, option D is correct:
D. The mean and the median for the diastolic pressure are both lower than the mean and the median for the systolic pressure.
Are the measures of center the best statistic ti use with the data:
D. Since the systolic and diastolic blood pressures measure different characteristics, a comparison of the measures of center doesn't make sense.
What else might be better?
D. Because the data are matched, it would make more sense to investigate whether there is an association or correlation between the two blood pressures.
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