answer the statistical measures and create a box and whiskers plot for the following set of data…

Explanation:

Step1: Find the minimum

The minimum value in the data - set $2,4,4,7,10,11,12,13,16,17,18$ is $2$.

Step2: Find the maximum

The maximum value in the data - set is $18$.

Step3: Find the median (Med)

There are $n = 11$ data points. The median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{11+1}{2}=6$ - th value. So, $Med = 11$.

Step4: Find the lower half for Q1

The lower half of the data set is $2,4,4,7,10$. There are $n_1=5$ data points. The median of the lower half (Q1) is the $\left(\frac{5 + 1}{2}\right)$-th value. $\frac{5+1}{2}=3$ - th value. So, $Q1 = 4$.

Step5: Find the upper half for Q3

The upper half of the data set is $12,13,16,17,18$. There are $n_2 = 5$ data points. The median of the upper half (Q3) is the $\left(\frac{5+1}{2}\right)$-th value. $\frac{5 + 1}{2}=3$ - th value. So, $Q3=16$.

Answer:

Min: $2$, Q1: $4$, Med: $11$, Q3: $16$, Max: $18$