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: Diastolic: 140 66 122 78 137 72 103 76 129 130 8960 120 87 107 70 155 69 138 64

Find the means.
The mean for systolic is__ mm Hg and the mean for diastolic is__ mm Hg.
​(Type integers or decimals rounded to one decimal place as​needed.)

Find the medians.
The median for systolic is___ mm Hg and the median for diastolic is___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 the median for the systolic pressure are both lower than the mean and the median for the diastolic 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 median appear to be roughly the same for both types of blood pressure

Are the measures of center the best statistics to use with these​ data?
A. Since the systolic and diastolic blood pressures measure different​ characteristics, a comparison of the measures of center​doesn't make sense.
B. Since the sample sizes are​ large, measures of the center would not be a valid way to compare the data sets.
C. Since the sample sizes are​ equal, measures of center are a valid way to compare the data sets.
D. Since the systolic and diastolic blood pressures measure different​ characteristics, only measures of the center should be used to compare the data sets.

What else might be​ better?
A. Because the data are​ matched, it would make more sense to investigate whether there is an association or correlation between the two blood pressures.
B. Because the data are​ matched, it would make more sense to investigate any outliers that do not fit the pattern of the other observations.
C. Since measures of center are​ appropriate, there would not be any better statistic to use in comparing the data sets.
D. Since measures of the center would not be​ appropriate, it would make more sense to talk about the minimum and maximum values for each data set.

Answer 1

The mean for systolic is_128.1_ mm Hg and the mean for diastolic is_73.1_ mm Hg.

The median for systolic is_129.5__ mm Hg and the median for diastolic is_74.5__mm Hg

Compare the results. Choose the correct answer below.

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 statistics to use with these​ data?

A. 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. Because the data are​ matched, it would make more sense to investigate whether there is an association or correlation between the two blood pressures.