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: 136 145 99 100 140 134 155 122 111 151 diastolic: 76 66 80 65 69 58 85 51 77 54 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 mean for systolic blood - pressure

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. For systolic blood - pressure values: 136, 145, 99, 100, 140, 134, 155, 122, 111, 151, $n = 10$ and $\sum_{i=1}^{10}x_{i}=136 + 145+99+100+140+134+155+122+111+151 = 1303$. So, $\bar{x}_{systolic}=\frac{1303}{10}=130.3$.

Step2: Calculate mean for diastolic blood - pressure

For diastolic blood - pressure values: 76, 66, 80, 65, 69, 58, 85, 51, 77, 54, $n = 10$ and $\sum_{i = 1}^{10}x_{i}=76+66 + 80+65+69+58+85+51+77+54 = 681$. So, $\bar{x}_{diastolic}=\frac{681}{10}=68.1$.

Answer:

The mean for systolic is 130.3 mm Hg and the mean for diastolic is 68.1 mm Hg.