answer the statistical measures and create a box and whiskers plot for the following. enter all values as…

Explanation:

Step1: Find the minimum value

The minimum value in the data - set (1,1,2,2,5,6,11,11,12,13,14,16,17,19) is (1).

Step2: Find the maximum value

The maximum value in the data - set is (19).

Step3: 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 ordered values. (\frac{n}{2}=7) and (\frac{n}{2}+1 = 8). The 7th value is (11) and the 8th value is (11), so (Med=\frac{11 + 11}{2}=11).

Step4: Find the lower half of the data

The lower half of the data is (1,1,2,2,5,6,11). There are (n_1=7) data points. The median of the lower half (Q1) is the (\frac{n_1 + 1}{2})th value. (\frac{7+1}{2}=4)th value. So (Q1 = 2).

Step5: Find the upper half of the data

The upper half of the data is (11,12,13,14,16,17,19). There are (n_2 = 7) data points. The median of the upper half (Q3) is the (\frac{n_2+1}{2})th value. (\frac{7 + 1}{2}=4)th value. So (Q3=14).

Answer:

Min: (1), Q1: (2), Med: (11), Q3: (14), Max: (19)