MA.912.DP.1.4 · Expressions, Functions, and Data Analysis

Estimating Population Values and Margin of Error: Sample Algebra 1 EOC Questions

A sample survey gives a mean or a percentage, and a margin of error says how far the true population value might be from it. Students use both to estimate a population total, mean, or percentage and to state the interval the true value most likely falls in.

How the Algebra 1 EOC tests this benchmark

The margin of error is always given on the EOC and never computed, and sample sizes are at least 100. Items give both the sample statistic and the margin, then ask for the interval, the population estimate, or which conclusion the data supports. Multiple choice and equation editor items are typical.

Skills students need

Estimate a population total from a sample
Build an interval from a mean and a margin of error
Interpret a margin of error in context
Judge which conclusions a sample supports

Try 6 real MA.912.DP.1.4 questions

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Question 1 of 6

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Question 1EasyMultiple Choice

In a taste test with

200

randomly selected shoppers,

70\%

said they like a new flavor, with a margin of error of

6

percentage points. Based on the taste test, which percentage of ALL shoppers is NOT plausible?

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Question 4MediumMatching

Three polls each surveyed at least

250

randomly selected residents. Match each poll result to the plausible range for the whole population.

Pick one match in each row, then check.

	A. $35\%$ to $45\%$	B. $59\%$ to $63\%$	C. $49\%$ to $55\%$
$52\%$ with a margin of error of $3$ points
$40\%$ with a margin of error of $5$ points
$61\%$ with a margin of error of $2$ points

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