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: 150 126 95 140 154 159 145 101 152 135 ​Diastolic: 60 83 53 68 79 76 91 57 55 86 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 and median appear to be roughly the same for both types of blood pressure. B. The mean and the median for the systolic pressure are both lower than the mean and the median for the diastolic pressure. C. The mean and the median for the diastolic pressure are both lower than the mean and the median for the systolic pressure. D. The median is lower for the diastolic​ pressure, but the mean is lower for the systolic pressure. E. The mean is lower for the diastolic​ pressure, but the median is lower for the systolic pressure. Are the measures of center the best statistics to use with these​ data? A. Since the sample sizes are​ large, measures of center would not be a valid way to compare the data sets. B. Since the sample sizes are​ equal, measures of center are a valid way to compare the data sets. C. Since the systolic and diastolic blood pressures measure different​ characteristics, a comparison of the measures of center​ doesn't make sense. D. Since the systolic and diastolic blood pressures measure different​ characteristics, only measures of center should be used to compare the data sets. What else might be​ better? A. Since measures of center are​ appropriate, there would not be any better statistic to use in comparing the data sets. 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 would not be​ appropriate, it would make more sense to talk about the minimum and maximum values for each data set. 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.

Answer 1

SolutionA:

Systolic <- c( 150 ,126 ,95 ,140, 154, 159 ,145 ,101, 152 ,135 )
mean(Systolic)
Diastolic <- c( 60, 83, 53 ,68, 79, 76, 91, 57 ,55, 86)
mean(Diastolic)

The mean for systolic is nothing  135.7 mm Hg and the mean for diastolic is nothing 70.8mm Hg

SolutionB:

median(Systolic)

median(Diastolic)

median(Systolic)
[1] 142.5

median for systolic =142.5 mm Hg

> Diastolic <- c( 60, 83, 53 ,68, 79, 76, 91, 57 ,55, 86)
> median(Diastolic)
[1] 72

median for Diastolic=72 mm Hg

The median for systolic is nothing 142.5mm Hg and the median for diastolic is nothing 72 mm Hg

SlutionC:

mean of systolic=135.7

median of systolic= 142.5

mean of diastolic= 70.8

median of diastolic= 72

Mark option C
C. The mean and the median for the diastolic pressure are both lower than the mean and the median for the systolic pressure.

Solutiond:

Are the measures of center the best statistics to use with these​ data?

D. Since the systolic and diastolic blood pressures measure different​ characteristics, only measures of center should be used to compare the data sets.