(a) find the five - number summary, and (b) draw a box - and - whisker plot of the data. 3 8 8 5 2 9 8 7 9 6…

(a) find the five - number summary, and (b) draw a box - and - whisker plot of the data. 3 8 8 5 2 9 8 7 9 6 9 4 1 6 2 9 8 7 7 9 (a) min = 1 (simplify your answer.) q1 = 4.5 (simplify your answer. do not round.) q2 = 7 (simplify your answer. do not round.) q3 = (simplify your answer. do not round.)
Answer
Explanation:
Step1: Arrange data in ascending order
1 2 2 3 4 5 6 6 7 7 7 8 8 8 8 9 9 9 9
Step2: Calculate position of Q3
There are $n = 19$ data - points. The position of $Q_3$ is $i=\frac{3(n + 1)}{4}=\frac{3\times(19 + 1)}{4}=\frac{3\times20}{4}=15$.
Step3: Find Q3
The 15 - th value in the ordered data - set is 8.
Answer:
8