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: 4, 5, 6, 8, 9, 9, 10, 12, 12, 12, 17, 17, 18, 18.

Step2: Find the minimum

The minimum (Min) value is the first number in the ordered - set. Min = 4.

Step3: Find the maximum

The maximum (Max) value is the last number in the ordered - set. Max = 18.

Step4: Find the median (Med)

There are n = 14 data points. The median is the average of the $\frac{n}{2}$th and ($\frac{n}{2}+1$)th values. $\frac{n}{2}=7$ and $\frac{n}{2}+1 = 8$. The 7th value is 10 and the 8th value is 12. Med=$\frac{10 + 12}{2}=11$.

Step5: Find the lower quartile (Q1)

The lower half of the data is 4, 5, 6, 8, 9, 9, 10. There are n = 7 data points. The median of the lower half is the 4th value. Q1 = 8.

Step6: Find the upper quartile (Q3)

The upper half of the data is 12, 12, 12, 17, 17, 18, 18. There are n = 7 data points. The median of the upper half is the 4th value. Q3 = 17.

Answer:

Min: 4 Q1: 8 Med: 11 Q3: 17 Max: 18