Question

(a) find the five - number summary, and (b) draw a box - and - whisker plot of the data. 2 8 8 6 1 9 8 7 9 6 9 5 1 6 1 9 8 7 7 9 (a) min = 1 (simplify your answer.) q1 = 5.5 (simplify your answer.) q2 = (simplify your answer.)

Explanation:

Step1: Arrange data in ascending order

1 1 1 2 5 6 6 6 7 7 8 8 8 8 9 9 9 9 9

Step2: Find the median (Q2)

There are 19 data - points. The median is the 10th value. So, Q2 = 7.

Step3: Find the lower half for Q1

The lower half of the data is 1 1 1 2 5 6 6 6 7. There are 9 data - points. The median of the lower half (Q1) is the 5th value, which is 5.

Step4: Find the upper half for Q3

The upper half of the data is 8 8 8 8 9 9 9 9 9. There are 9 data - points. The median of the upper half (Q3) is the 5th value, which is 9.

Step5: Find the maximum

The maximum value in the data set is 9.

Answer:

Min = 1
Q1 = 5
Q2 = 7
Q3 = 9
Max = 9