Question

listed below are amounts of strontium - 90 (in millibecquerels, or mbq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. use the given data to construct a boxplot and identify the 5 - number summary. 121 124 128 131 133 135 135 136 140 142 146 147 149 151 152 155 157 158 162 167 the 5 - number summary is . . . . (use ascending order. type integers or decimals. do not round.)

Explanation:

Step1: Sort the data

121, 124, 128, 131, 133, 135, 135, 136, 140, 142, 146, 147, 149, 151, 152, 155, 157, 158, 162, 167

Step2: Find the minimum

The minimum value is 121.

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

There are $n = 20$ data points. The position of $Q_1$ is $\frac{n + 1}{4}=5.25$. So, $Q_1=133+(135 - 133)\times0.25 = 133.5$.

Step4: Find the median

The position of the median for $n = 20$ is $\frac{n}{2}=10$ and $\frac{n}{2}+1 = 11$. The median is $\frac{140 + 142}{2}=141$.

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

The position of $Q_3$ is $\frac{3(n + 1)}{4}=15.75$. So, $Q_3=152+(155 - 152)\times0.75 = 154.25$.

Step6: Find the maximum

The maximum value is 167.

Answer:

121, 133.5, 141, 154.25, 167