Question

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. 132 143 135 133 120 125 150 130 129 148 136 140 143 150 the 5 - number summary is _, _, _, _, and _, all in mm hg. (use ascending order. type integers or decimals. do not round.)

Explanation:

Step1: Sort the data

120, 125, 129, 130, 132, 133, 135, 136, 140, 143, 143, 148, 150, 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 $Q_2=\frac{135+136}{2}=135.5$.

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

The position of $Q_3$ is $3\times\frac{n + 1}{4}=3\times\frac{14+1}{4}=11.25$. So $Q_3=143+(143 - 143)\times0.25 = 143$.

Step6: Find the maximum

The maximum value is 150.

Answer:

120, 129.75, 135.5, 143, 150