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: $3,3,3,4,6,6,8,9,9,10,13,14,14,15,15$

Step2: Find the minimum

The minimum (Min) value is the first value in the ordered - set. Min = $3$

Step3: Find the maximum

The maximum (Max) value is the last value in the ordered - set. Max = $15$

Step4: Find the median (Med)

There are $n = 15$ data points. The median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{15+1}{2}=8$-th value. Med = $9$

Step5: Find the lower half

The lower half of the data is $3,3,3,4,6,6,8$. There are $n_1 = 7$ data points.

Step6: Find Q1

The first quartile (Q1) is the median of the lower half. For $n_1 = 7$ data points, the median is the $\left(\frac{7 + 1}{2}\right)$-th value, which is the 4 - th value. Q1 = $4$

Step7: Find the upper half

The upper half of the data is $10,13,14,14,15,15$. There are $n_2 = 7$ data points.

Step8: Find Q3

The third quartile (Q3) is the median of the upper half. For $n_2 = 7$ data points, the median is the $\left(\frac{7+1}{2}\right)$-th value, which is the 4 - th value. Q3 = $14$

Answer:

Min: $3$ Q1: $4$ Med: $9$ Q3: $14$ Max: $15$