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. 2,3,3,4,5,5,7,11,12,13,14 min: q1: med: q3: max: create the box plot by dragging the lines: box - plot diagram with x - axis labeled from 0 to 20 answer attempt 1 out of 2
Answer
Explanation:
Step1: Find the minimum value
The minimum value of the data - set (2,3,3,4,5,5,7,11,12,13,14) is (2).
Step2: Find the median (Med)
There are (n = 11) data points. The median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{11+1}{2}=6) - th value. So, the median (Med = 5).
Step3: Find the lower half of the data
The lower half of the data is (2,3,3,4,5).
Step4: Find the first - quartile (Q1)
There are (n_1=5) data points in the lower half. The first - quartile is the (\left(\frac{5 + 1}{2}\right))-th value. So, (Q1 = 3).
Step5: Find the upper half of the data
The upper half of the data is (7,11,12,13,14).
Step6: Find the third - quartile (Q3)
There are (n_2 = 5) data points in the upper half. The third - quartile is the (\left(\frac{5+1}{2}\right))-th value. So, (Q3 = 12).
Step7: Find the maximum value
The maximum value of the data - set is (14).
Answer:
Min: (2), Q1: (3), Med: (5), Q3: (12), Max: (14)