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

Explanation:

Step1: Arrange data in order

The data is already in ascending - order: $8,9,9,11,13,15,16,17,18,18,19$.

Step2: Find the minimum

The minimum value (Min) is the first value in the ordered - set. So, Min = $8$.

Step3: Find the maximum

The maximum value (Max) is the last value in the ordered - set. So, Max = $19$.

Step4: 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 = $15$.

Step5: Find the lower half for Q1

The lower half of the data is $8,9,9,11,13$. There are $n_1 = 5$ data points. The median of the lower half (Q1) is the $\left(\frac{5 + 1}{2}\right)$-th value. $\frac{5+1}{2}=3$-rd value. So, Q1 = $9$.

Step6: Find the upper half for Q3

The upper half of the data is $16,17,18,18,19$. There are $n_2 = 5$ data points. The median of the upper half (Q3) is the $\left(\frac{5 + 1}{2}\right)$-th value. $\frac{5+1}{2}=3$-rd value. So, Q3 = $18$.

Answer:

Min: $8$ Q1: $9$ Med: $15$ Q3: $18$ Max: $19$