Question

use the box - and - whisker plot to identify the five - number summary, and the interquartile range. (answer should be an integer or decimal)

Explanation:

Step1: Identify minimum value

The left - most point of the whisker represents the minimum value. So, Min = - 1.8.

Step2: Identify maximum value

The right - most point of the whisker represents the maximum value. So, Max = 1.8.

Step3: Identify first quartile ($Q_1$)

The left - hand side of the box represents the first quartile. So, $Q_1=-0.6$.

Step4: Identify median ($Q_2$)

The line inside the box represents the median. So, $Q_2 = 0.0$.

Step5: Identify third quartile ($Q_3$)

The right - hand side of the box represents the third quartile. So, $Q_3 = 0.6$.

Step6: Calculate inter - quartile range (IQR)

The formula for the inter - quartile range is $IQR=Q_3 - Q_1$. Substitute $Q_1=-0.6$ and $Q_3 = 0.6$ into the formula: $IQR=0.6-(-0.6)=1.2$.

Answer:

Min: - 1.8
Max: 1.8
$Q_1$: - 0.6
$Q_2$: 0.0
$Q_3$: 0.6
IQR: 1.2