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GED Science · Drill I.25

How far does the evidence reach? Sample size

Family I: The Scientist’s Toolkit · Map topic 5

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Worked examples

Two examples

Example 1

A laundromat owner asks 4 customers whether she should stay open later, and 3 say yes. What percent is that, and how much would one different answer change it?
  1. The sample is the group actually asked: 4 customers. The sample size is 4.
  2. 3 of 4 is 3 ÷ 4 = 0.75, or 75 percent.
  3. If just one of the 3 had said no, it would be 2 of 4: 50 percent.
  4. One answer moved the result by 25 percentage points. That is why small samples can mislead: chance plays a big part. If she asked 300 customers, one answer would move the result by about a third of a point.

Answer: 75 percent; one different answer would make it 50 percent.

Example 2

To learn whether her customers want later hours, she asks only the people who come in at 10 p.m. Most say yes. What is wrong with this sample?
  1. A sample must be like the larger group the claim is about. The claim is about all her customers.
  2. Customers who come in at 10 p.m. are exactly the people most likely to want late hours.
  3. So the sample tells her about late-night customers, not about everyone.
  4. A better sample: customers at every time of day, morning, afternoon and night.

Answer: It is not like all her customers.

Where this is taught: Science Practices, part 5: Reasoning from data · Look Again Quiz 5: Reasoning from Data

In your Kaplan book: Unit 4, Chapter 1, Lesson 3: Reason with Scientific Information · Map of the Terrain, topic 5: Reasoning from data

The drill

Ten questions

How many:

Read what is in the box first, if there is one. Then tap your answer; a few questions ask you to choose words from a drop-down instead, the way the GED test does. Press Check my answers at the bottom.Read what is in the box first, if there is one. Circle your answer; where there are brackets, circle the choice that fits. The answer key, with the reasoning, is on the last page.

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