Question

linda randomly surveyed 20 teachers at her school about whether they prefer chalkboards or dry erase boards. she repeated the survey three times with three different sets of teachers. which pair of lindas samples seems to have the lowest variability and, therefore, are representative samples?

	chalk	dry erase
sample 2	9	11
sample 3	1	19

Explanation:

Step1: Analyze Sample 1

The difference between preferences is \(|12 - 8|=4\).

Step2: Analyze Sample 2

The difference between preferences is \(|9 - 11| = 2\).

Step3: Analyze Sample 3

The difference between preferences is \(|1-19|=18\).

Step4: Compare differences

Since \(2<4<18\), Sample 2 has the lowest variability.

Answer:

Sample 2