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: 97 96 134 112 154 116 156 99 153 117 Diastolic: 63 55 87 73 76 88 85 79 69 62 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 median is lower for the diastolic pressure, but the mean is lower for the systolic pressure. B. The mean and median appear to be roughly the same for both types of blood 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 is lower for the diastolic pressure, but the median is lower for the systolic pressure. E. The mean and the median for the diastolic pressure are both lower than the mean and the median for the systolic pressure.
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: 97 96 134 112 154 116 156 99 153 117 Diastolic: 63 55 87 73 76 88 85 79 69 62 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 median is lower for the diastolic pressure, but the mean is lower for the systolic pressure. B. The mean and median appear to be roughly the same for both types of blood 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 is lower for the diastolic pressure, but the median is lower for the systolic pressure. E. The mean and the median for the diastolic pressure are both lower than the mean and the median for the systolic pressure.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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:
|
97
|
96
|
134
|
112
|
154
|
116
|
156
|
99
|
153
|
117
|
|
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
Diastolic:
|
63
|
55
|
87
|
73
|
76
|
88
|
85
|
79
|
69
|
62
|
|
|
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.
The median is lower for the diastolic pressure, but the mean is lower for the systolic pressure.
The mean and median appear to be roughly the same for both types of blood pressure.
The mean and the median for the systolic pressure are both lower than the mean and the median for the diastolic pressure.
The mean is lower for the diastolic pressure, but the median is lower for the systolic pressure.
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?
Since the systolic and diastolic blood pressures measure different characteristics, only measures of center should be used to compare the data sets.
Since the systolic and diastolic blood pressures measure different characteristics, a comparison of the measures of center doesn't make sense.
Since the sample sizes are large, measures of center would not be a valid way to compare the data sets.
Since the sample sizes are equal, measures of center are a valid way to compare the data sets.
What else might be better?
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