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(a) find the five - number summary, and (b) draw a box - and - whisker …

Question

(a) find the five - number summary, and (b) draw a box - and - whisker plot of the data. 3 8 8 6 2 9 8 7 9 6 9 5 2 6 2 9 8 7 7 9 (a) min = 2 (simplify your answer.) q1 = 5.25 (simplify your answer. do not round.) q2 = (simplify your answer. do not round.)

Explanation:

Step1: Arrange data in ascending order

2 2 2 3 5 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9

Step2: Find the median (Q2)

There are $n = 20$ data - points. The median is the average of the $\frac{n}{2}=10$th and $(\frac{n}{2}+1) = 11$th ordered - data values.
The 10th value is 7 and the 11th value is 7. So, $Q_{2}=\frac{7 + 7}{2}=7$

Answer:

7