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

Explanation:

Step1: Find the minimum value

The minimum value in the data - set (4,7,8,10,11,12,13,15,16,17,17,18,18) is (4).

Step2: Find the maximum value

The maximum value in the data - set is (18).

Step3: Find the median (Med)

There are (n = 13) data points. The median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{13+1}{2}=7) - th value. So, (Med = 13).

Step4: Find the lower half of the data

The lower half of the data is (4,7,8,10,11,12).

Step5: Find Q1

There are (n_1=6) data points in the lower half. The median of the lower half (Q1) is the average of the (\frac{6}{2})-th and (\left(\frac{6}{2}+1\right))-th values. The 3 - rd value is (8) and the 4 - th value is (10), so (Q1=\frac{8 + 10}{2}=9).

Step6: Find the upper half of the data

The upper half of the data is (15,16,17,17,18,18).

Step7: Find Q3

There are (n_2 = 6) data points in the upper half. The median of the upper half (Q3) is the average of the (\frac{6}{2})-th and (\left(\frac{6}{2}+1\right))-th values. The 3 - rd value is (17) and the 4 - th value is (17), so (Q3 = 17).

Answer:

Min: (4) Q1: (9) Med: (13) Q3: (17) Max: (18)