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: 120 146 125 90 101 150 97 132 141 120 diastolic: 56 55 58 62 66 67 83 74 54 86 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.)

Explanation:

Step1: Calculate systolic mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. For systolic values: $x_1 = 120,x_2=146,x_3 = 125,x_4=90,x_5 = 101,x_6=150,x_7 = 97,x_8=132,x_9 = 141,x_{10}=120$. $n = 10$. $\sum_{i=1}^{10}x_{i}=120 + 146+125+90+101+150+97+132+141+120=1222$. Then $\bar{x}=\frac{1222}{10}=122.2$.

Step2: Calculate diastolic mean

For diastolic values: $y_1 = 56,y_2=55,y_3 = 58,y_4=62,y_5 = 56,y_6=67,y_7 = 83,y_8=74,y_9 = 54,y_{10}=86$. $n = 10$. $\sum_{i = 1}^{10}y_{i}=56+55+58+62+56+67+83+74+54+86=651$. Then $\bar{y}=\frac{651}{10}=65.1$.

Answer:

The mean for systolic is $122.2$ mm Hg and the mean for diastolic is $65.1$ mm Hg.