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. 2,2,3,4,6,8,9,10,10,11,11,11,12,14,14 min: q1: med: q3: max: create the box plot by dragging the lines: box - plot image description answer attempt 1 out of 2 you must answer all questions above in order to submit.

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. 2,2,3,4,6,8,9,10,10,11,11,11,12,14,14 min: q1: med: q3: max: create the box plot by dragging the lines: box - plot image description answer attempt 1 out of 2 you must answer all questions above in order to submit.

Answer

Explanation:

Step1: Find the minimum value

The minimum value in the data - set (2,2,3,4,6,8,9,10,10,11,11,11,12,14,14) is (2).

Step2: Find the maximum value

The maximum value in the data - set is (14).

Step3: 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. So, the median (Med = 10).

Step4: Find the lower half of the data

The lower half of the data is (2,2,3,4,6,8,9). There are (n_1=7) data points. The first - quartile (Q1) is the (\left(\frac{7 + 1}{2}\right))-th value, which is the 4 - th value. So, (Q1 = 4).

Step5: Find the upper half of the data

The upper half of the data is (11,11,11,12,14,14). There are (n_2 = 6) data points. The third - quartile (Q3) is the (\left(\frac{6+1}{2}\right))-th value (take the average of the 3 - rd and 4 - th ordered values). The 3 - rd value is (11) and the 4 - th value is (12), so (Q3=\frac{11 + 12}{2}=11.5).

Answer:

Min: (2) Q1: (4) Med: (10) Q3: (11.5) Max: (14)