Question

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. 5,5,6,9,11,14,15,16 min: q1: med: q3: max: create the box plot by dragging the lines:

Explanation:

Step1: Find the minimum value

The minimum value in the data - set 5, 5, 6, 9, 11, 14, 15, 16 is 5.

Step2: Find the maximum value

The maximum value in the data - set is 16.

Step3: Find the median (Med)

Since there are n = 8 data points, the median is the average of the 4th and 5th ordered values. $\frac{9 + 11}{2}=10$.

Step4: Find the lower half for Q1

The lower half of the data is 5, 5, 6, 9. The median of the lower half (Q1) is $\frac{5+6}{2}=5.5$.

Step5: Find the upper half for Q3

The upper half of the data is 11, 14, 15, 16. The median of the upper half (Q3) is $\frac{14 + 15}{2}=14.5$.

Answer:

Min: 5
Q1: 5.5
Med: 10
Q3: 14.5
Max: 16