7th Grade Random Sampling and Inference Quiz: 10 Questions with Explanations

7th Grade math quiz: Random Sampling and Inference – Maths PDF

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This random sampling quiz for 7th Grade covers random sampling and inference (Common Core 7.SP.A.1, 7.SP.A.2), with a free PDF to print.

Answer all 10 multiple-choice questions on populations and samples, representative and biased samples, random sampling, and using samples to estimate a population. Pick the single best answer, then read the explanation to see why it is right and which common mistake each wrong choice shows. A score of 8 or more means you are ready for the test.

Grade 7 · Common Core State Standards: 7.SP.A.1, 7.SP.A.2

Random sampling quiz: 10 questions

Question 1

In a survey of 50 of the 800 students at a school, what is the population?

Question 2

Which sample is random?

Question 3

In a random sample of 80 students, 20 ride the bus. About what percent of all students ride the bus?

Question 4

A random sample of 100 shows \(35\%\) prefer cats. About how many of 2,000 people prefer cats?

Question 5

Which is more likely to be representative?

Question 6

Why might two random samples of the same size give different results?

Question 7

A survey question asks, ‘Isn’t the new rule unfair?’ This question is:

Question 8

A sample of 20 marbles from a bag has 6 blue. If the bag has 300 marbles, about how many are blue?

Question 9

The tag-and-recapture method tags 20 fish; a later sample of 50 has 4 tagged. About how many fish are in the lake?

Question 10

Sample percents of 28%, 32%, 30%, and 34% are found. About what percent is the best estimate of the population?

Remember

A population is the whole group; a sample is a part of it.
A random sample gives every member an equal chance of being chosen.
Biased samples over-represent some members and give poor estimates.
Estimate a population count by multiplying the sample proportion by the population size.
Larger random samples vary less and give better estimates.

How to use this random sampling quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the random sampling quiz as a PDF with the button below and keep it with your notes.

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