fourteen different second - year medical students at a hospital measured the blood pressure of the same…

fourteen different second - year medical students at a hospital measured the blood pressure of the same person. the systolic readings (mm hg) are listed below. use the given data to construct a boxplot and identify the 5 - number summary. 129 142 135 148 120 125 139 130 141 139 142 140 131 150 the 5 - number summary is , , , , and , all in mm hg. (use ascending order. type integers or decimals. do not round.)

fourteen different second - year medical students at a hospital measured the blood pressure of the same person. the systolic readings (mm hg) are listed below. use the given data to construct a boxplot and identify the 5 - number summary. 129 142 135 148 120 125 139 130 141 139 142 140 131 150 the 5 - number summary is , , , , and , all in mm hg. (use ascending order. type integers or decimals. do not round.)

Answer

Explanation:

Step1: Sort the data

120, 125, 129, 130, 131, 135, 139, 139, 140, 141, 142, 142, 148, 150

Step2: Find the minimum

The minimum value is 120.

Step3: Find the first - quartile ($Q_1$)

Since $n = 14$, the position of $Q_1$ is $\frac{n + 1}{4}=\frac{14+ 1}{4}=3.75$. So $Q_1=129+(130 - 129)\times0.75 = 129.75$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{n+1}{2}=\frac{14 + 1}{2}=7.5$. So $Q_2=\frac{139+139}{2}=139$.

Step5: Find the third - quartile ($Q_3$)

The position of $Q_3$ is $\frac{3(n + 1)}{4}=\frac{3\times(14 + 1)}{4}=11.25$. So $Q_3=142+(142 - 142)\times0.25 = 142$.

Step6: Find the maximum

The maximum value is 150.

Answer:

120, 129.75, 139, 142, 150