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 = \square\\) (simplify your answer.)

Explanation:

Sort the dataset

Using the Five-Number Summary knowledge point
The given dataset is:

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

Count of elements \(n = 20\).
Sorted dataset:

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

Calculate the median

Using the Median Calculation knowledge point

$$
LATEXBLOCK0
$$

Answer:

\(Q_2 =\) <blank>7</blank>