All courses Math III · S-IC.1 47 of 55
Understand statistics as inference about population parameters from random samples.

Separate population, frame, sample, unit, and size

Problem
A study selects 500 voters from the city voter-registration list to estimate the preference of all registered city voters. Identify the target population, sampling frame, sample, and observational unit.
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Hint

Identify whom/what the conclusion is intended to describe, then identify who/what was actually accessible and measured.

Population is the target group; frame is the accessible selection source; sample is the observed subset; unit is one measured entity.

Solution walkthrough

01

Identify target

\[\text{all}~\text{registered}~\text{city}~\text{voters}\]

This is the full group named by the intended inference.

02

Identify frame

\[\text{city}~\text{voter}~\text{registration}~\text{list}\]

This is the source from which sample units could be selected.

03

Identify sample

\[\text{the}~500~\text{selected}/\text{surveyed}~\text{voters}\]

Only these units supplied data.

04

Record unit and count

\[\text{unit}=\text{one}~\text{registered}~\text{voter};~n=500\]

The unit is one entity; sample size counts observed entities when stated.

05

Submit all fields

\[\text{target}~\text{population}=\text{all}~\text{registered}~\text{city}~\text{voters};~\text{sampling}~\text{frame}=\text{city}~\text{voter}~\text{registration}~\text{list};~\text{sample}=\text{the}~500~\text{selected}/\text{surveyed}~\text{voters};~\text{observational}~\text{unit}=\text{one}~\text{registered}~\text{voter};~\text{sample}~\text{size}=500\]

Population and sample are no longer bundled.

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Another way

  1. Complete the sentence: infer about using data from selected from .

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Common mistake

Do not confuse target population with sampling frame or sample.