Question

build a boxplot using the data for com-com’s download speed. what is the value of the 3rd quartile? com - com: 5.3, 5.7, 6.1, 6.5, 6.9, 7.2, 7.7, 8.8, 8.9, 8.9, 9.0, 9.1, 9.4, 9.5, 45 10 mb download times

Explanation:

Step1: Confirm sorted data

Data is already sorted: $5.3, 5.7, 6.1, 6.5, 6.9, 7.2, 7.7, 8.8, 8.9, 8.9, 9.0, 9.1, 9.4, 9.5, 45$

Step2: Calculate total data points

$n = 15$

Step3: Find position of 3rd quartile

Use formula $Q_3 = \frac{3(n+1)}{4}$
$\frac{3(15+1)}{4} = \frac{3\times16}{4} = 12$

Step4: Identify value at 12th position

12th value in sorted data: $9.1$

Answer:

$9.1$