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

Explanation:

Step1: Arrange data in order

The data set $7,7,8,9,11,12,13,14$ is already in ascending - order.

Step2: Find the minimum value

The minimum value (Min) is the first value in the ordered data set. So, Min = $7$.

Step3: Find the first quartile (Q1)

The data set has $n = 8$ values. The position of Q1 is $\frac{n + 1}{4}=\frac{8+1}{4}=2.25$. So, Q1 is $7+(0.25)\times(8 - 7)=7.25$.

Step4: Find the median (Med)

The position of the median for $n = 8$ (an even - numbered data set) is $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. The median is $\frac{9 + 11}{2}=10$.

Step5: Find the third quartile (Q3)

The position of Q3 is $\frac{3(n + 1)}{4}=\frac{3\times(8 + 1)}{4}=6.75$. So, Q3 is $12+(0.75)\times(13 - 12)=12.75$.

Step6: Find the maximum value

The maximum value (Max) is the last value in the ordered data set. So, Max = $14$.

Answer:

Min: $7$ Q1: $7.25$ Med: $10$ Q3: $12.75$ Max: $14$