Question

(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 = (simplify your answer. do not round.)

Explanation:

Step1: Sort the data

$1,2,2,3,4,5,6,6,7,7,8,8,8,8,9,9,9,9,9$

Step2: Calculate the position of $Q_1$

There are $n = 19$ data - points. The position of $Q_1$ is $i=\frac{n + 1}{4}=\frac{19+1}{4}=5$. So, $Q_1$ is the 5th - ordered value.

Step3: Determine $Q_1$

The 5th - ordered value in the sorted data set is $4$.

Answer:

$4$