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: ____________
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: $19$ $Q_3:15$