Question

using the given data, find the following. 247 486 106 202 172 359 482 500 392 168 272 134 send data to excel part: 0 / 2 part 1 of 2 identify the five - number summary. round your answers to one decimal place as needed. low = 106, q1 = , md = 260, q3 = , high = 500

Explanation:

Step1: Sort the data

106, 134, 168, 172, 202, 247, 272, 359, 392, 482, 486, 500

Step2: Find $Q_1$

There are $n = 12$ data - points. The position of $Q_1$ is $i=\frac{n + 1}{4}=\frac{12+1}{4}=3.25$. So, $Q_1=168+(172 - 168)\times0.25=169.0$

Step3: Find $Q_3$

The position of $Q_3$ is $i = \frac{3(n + 1)}{4}=\frac{3\times(12 + 1)}{4}=9.75$. So, $Q_3=392+(482 - 392)\times0.75=459.5$

Answer:

$Q_1 = 169.0$, $Q_3 = 459.5$