Question

(a) find the five-number summary, and (b) draw a box-and-whisker plot of the data.

4 8 8 6 2 9 8 7 9 6 9 4 1 6 2 9 8 7 7 9

(a) \\(\text{min} = 1\\) (simplify your answer.)

\\(q_1 = 5\\) (simplify your answer.)

\\(q_2 = 7\\) (simplify your answer.)

\\(q_3 = 8.5\\) (simplify your answer.)

\\(\text{max} = \\) (simplify your answer.)

Explanation:

Sort the dataset

Using the Five-Number Summary knowledge point

$$ \text{Original: } 4, 8, 8, 6, 2, 9, 8, 7, 9, 6, 9, 4, 1, 6, 2, 9, 8, 7, 7, 9 $$

$$ \text{Sorted: } 1, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9 $$

$$ N = 20 $$

Find the maximum value

Using the Five-Number Summary knowledge point

$$ \text{Max} = 9 $$

Answer:

Find the five-number summary, and draw a box-and-whisker plot of the data.
\(4\ 8\ 8\ 6\ 2\ 9\ 8\ 7\ 9\ 6\ 9\ 4\ 1\ 6\ 2\ 9\ 8\ 7\ 7\ 9\)

Min = <blank>1</blank>
\(Q_1 =\) <blank>5</blank>
\(Q_2 =\) <blank>7</blank>
\(Q_3 =\) <blank>8.5</blank>
Max = <blank>9</blank>