frederick douglass high school\nbox and whisker plot practice\n1) 1, 13, 17, 3, 6, 9, 12, 11, 19\nminimum…

frederick douglass high school\nbox and whisker plot practice\n1) 1, 13, 17, 3, 6, 9, 12, 11, 19\nminimum: ____________\nq₁: ____________\nq₂: ____________\nmaximum: ____________\nq₃: ____________

frederick douglass high school\nbox and whisker plot practice\n1) 1, 13, 17, 3, 6, 9, 12, 11, 19\nminimum: ____________\nq₁: ____________\nq₂: ____________\nmaximum: ____________\nq₃: ____________

Answer

Explanation:

Step1: Sort the data

$1,3,6,9,11,12,13,17,19$

Step2: Find the minimum

The smallest value is $1$.

Step3: Find the maximum

The largest value is $19$.

Step4: Find the median ($Q_2$)

There are 9 data - points. The median is the 5th value, so $Q_2 = 11$.

Step5: Find the lower half

The lower half of the data is $1,3,6,9$.

Step6: Find $Q_1$

The median of the lower half is $\frac{3 + 6}{2}=4.5$.

Step7: Find the upper half

The upper half of the data is $12,13,17,19$.

Step8: Find $Q_3$

The median of the upper half is $\frac{13+17}{2}=15$.

Answer:

Minimum: $1$ $Q_1:4.5$ $Q_2:11$ Maximum: $19$ $Q_3:15$