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

answer the statistical measures and create a box and whiskers plot for the following set of data. enter all values as whole numbers or decimals.\n1,1,2,2,5,6,11,11,12,13,14,16,17,19\nmin: q1: med: q3: max:\ncreate the box plot by dragging the lines:

answer the statistical measures and create a box and whiskers plot for the following set of data. enter all values as whole numbers or decimals.\n1,1,2,2,5,6,11,11,12,13,14,16,17,19\nmin: q1: med: q3: max:\ncreate the box plot by dragging the lines:

Answer

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 first quartile (Q1)

First, find the median of the lower half of the data. The data - set has (n = 14) values. The lower half of the data is (1,1,2,2,5,6,11). The median of this lower - half (Q1) is the (\frac{7 + 1}{2}=4)th value when the data is ordered. So, (Q1 = 2).

Step3: Find the median (Med)

Since (n = 14) (an even number of data points), the median is the average of the (\frac{n}{2})th and ((\frac{n}{2}+1))th ordered values. (\frac{14}{2}=7) and (\frac{14}{2}+1 = 8). The 7th value is (11) and the 8th value is (11), so (Med=\frac{11 + 11}{2}=11).

Step4: Find the third quartile (Q3)

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

Step5: Find the maximum value

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

Answer:

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