Question

Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-graders in his school, about how many are expected to attend summer camp?

Answer 1

Using the sample proportion of 6 out of 30 seventh-graders attending summer camp, one would expect 40 out of 200 seventh-graders in the entire school to attend summer camp.

Step-by-step explanation:

The student's question asks about determining the expected number of seventh graders that attend summer camp given a sample proportion. Russell found that 6 out of 30 seventh-graders surveyed attended summer camp. To extrapolate this ratio to the entire population of 200 seventh-graders, we use a proportion:

Proportion of students attending summer camp = Number who attend camp / Total surveyed= 6/30

Then, we predict the total number for the school:

Expected number of camp attendees = Total number of seventh-graders × Proportion of students attending summer camp = 200 × (6/30)

So, the expected number of seventh graders attending summer camp would be:

200 × 0.2 = 40 seventh-graders

Answer 2

40 seventh-graders are expected to attend summer camp.

6/30=x/200
6/30= 6 divided by 30= 0.2
0.2x200=40