Practice Sampling Bias in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Sampling bias occurs when the method of selecting a sample systematically over- or under-represents certain groups relative to their actual proportion in the population.

A biased sample gives you a skewed picture of the population — like judging average student height by only surveying the basketball team.

Example 1

medium
A magazine surveys its readers about political preferences and finds 75% support Policy X. Explain why this result may not represent the general population, identifying the bias type.

Example 2

hard
A researcher studies income by sampling shopping mall visitors on weekday afternoons. Identify at least three sources of sampling bias and explain the likely direction of each bias.

Example 3

easy
A school wants to know students' favorite lunch option. They survey only students in the cafeteria at noon. Identify the bias and suggest a better sampling method.

Example 4

hard
An online survey about internet usage gets 10,000 responses. Explain why this large sample does not eliminate bias, and identify what type of people are systematically excluded.
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