7.SP.A.1: Samples and populations

Also written as 7.SP.1

Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

In plain words: Students learn that a sample tells you about a population only if it represents that population, and that random sampling tends to give representative samples.

Quick picks

Common mistake
Trusting a convenience sample: asking only the soccer team to estimate how many students at school play a sport.
Example Problems
The parks department will repaint 5 of 50 trail markers. They number the markers and use the random digit table printed below to choose a simple random sample.

Which markers are in the sample?
A research lab prepared 33 culture plates and will test a simple random sample of 5. The plates are numbered 01-33 and the random digit table printed below is used.

Which plates are in the sample?
54140, 32930, 21965, 40788, 15302
A teacher has 10 group leaders and needs a simple random sample of 3 to present first. He numbers them and uses the random digit table printed below.

Which leaders are in the sample?
Khan Academy Resources
Goblins

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