Q20. - Algebra 1

Question

MULTIPLE CHOICE The second graders are divided into boys and girls. Then 2 girls and 2 boys are chosen at random to represent the class at the Pride Assembly. Which of the following best describes the sample?

$\mathit{F}$ simple

$\mathit{G}$ stratified

$\mathit{H}$ systematic

$\mathit{J}$ none of the above

Step-by-Step Solution

Answer

Stratified best describes the sample.

Step 1. Simple sample.

A sample that is equally likely chosen as any other sample from the population.

Step 2. Stratified sample.

In this sample, a population is first divided into a similar, nonoverlapping group then a random sample is selected from each group.

Step 3. Systematic sample.

In this sample, the items in the sample are selected according to a specified time.

Step 4. Identify the sample.

Here, the second graders are divided into boys and girls before there is a random selection. Therefore, stratified describes the sample. Option $G$ is the required answer.