Question

A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey. For the sample to accurately represent the population, about how many sixth graders should be chosen?

7

8

14

16

Answer 1

The correct answer is 8

Answer 2

Answer: Second option is correct.

Explanation:

Since we have given that

Number of sixth graders students = 160

Number of seventh graders students = 180

Number of eighth graders students = 140

If 9 seventh graders were part of a random sample of the population chosen to participate in a survey.

Let Number of sixth graders should be chosen be 'x'.

Since there will be direct proportion .

`(180)/(9)=(160)/(x)\\\\20=(160)/(x)\\\\x=(160)/(20)\\\\x=8`

Hence, Second option is correct.