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

Explanation:

Step1: Arrange data in order

The data is already in ascending - order: $2,3,4,4,5,5,8,10,13,13,14$.

Step2: Find the minimum and maximum

Min is the smallest value. Min = $2$. Max is the largest value. Max = $14$.

Step3: Calculate 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. Med = $5$.

Step4: Calculate the lower half and Q1

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

Step5: Calculate the upper half and Q3

The upper half of the data is $8,10,13,13,14$. There are $n_2 = 5$ data - points. The median of the upper half (Q3) is the $\left(\frac{5+1}{2}\right)$-th value, which is the 3 - rd value. Q3 = $13$.

Answer:

Min: $2$, Q1: $4$, Med: $5$, Q3: $13$, Max: $14$