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? 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.) systolic: 114, 96, 146, 109, 121, 139, 97, 137, 117, 118 diastolic: 57, 74, 59, 56, 67, 58, 91, 69, 54, 76

Explanation:

Step1: List systolic values

Systolic values: 114, 96, 146, 109, 121, 139, 97, 137, 117, 118

Step2: Calculate sum of systolic values

Sum = \(114 + 96 + 146 + 109 + 121 + 139 + 97 + 137 + 117 + 118\)
\(= (114 + 96) + (146 + 109) + (121 + 139) + (97 + 137) + (117 + 118)\)
\(= 210 + 255 + 260 + 234 + 235\)
\(= 210 + 255 = 465\); \(465 + 260 = 725\); \(725 + 234 = 959\); \(959 + 235 = 1194\)

Step3: Calculate mean of systolic values

Number of values \(n = 10\), Mean = \(\frac{1194}{10} = 119.4\)

Step4: List diastolic values

Diastolic values: 57, 74, 59, 56, 67, 58, 91, 69, 54, 76

Step5: Calculate sum of diastolic values

Sum = \(57 + 74 + 59 + 56 + 67 + 58 + 91 + 69 + 54 + 76\)
\(= (57 + 74) + (59 + 56) + (67 + 58) + (91 + 69) + (54 + 76)\)
\(= 131 + 115 + 125 + 160 + 130\)
\(= 131 + 115 = 246\); \(246 + 125 = 371\); \(371 + 160 = 531\); \(531 + 130 = 661\)

Step6: Calculate mean of diastolic values

Mean = \(\frac{661}{10} = 66.1\)

Answer:

The mean for systolic is \(119.4\) mm Hg and the mean for diastolic is \(66.1\) mm Hg.