Question

study the following box and whisker plot, then answer the questions. 1. what is the range of the data for team 2? 2. which team has the biggest range of data?

Explanation:

Step1: Recall range formula

The range of a data - set is calculated as $Range = Maximum - Minimum$.

Step2: Identify max and min for Team 2

From the box - and - whisker plot, for Team 2, the maximum value is 40 and the minimum value is 15.

Step3: Calculate range for Team 2

$Range_{Team2}=40 - 15=25$.

Step4: Calculate ranges for other teams

For Team 1: Maximum is 30, minimum is 10, $Range_{Team1}=30 - 10 = 20$.
For Team 3: Maximum is 27, minimum is 20, $Range_{Team3}=27 - 20 = 7$.
For Team 4: Maximum is 18, minimum is 10, $Range_{Team4}=18 - 10 = 8$.

Step5: Compare ranges

$25>20>8>7$, so Team 2 has the biggest range.

Answer:

1. 25
2. Team 2