Math  /  Data & Statistics

QuestionAt a certain driver's license testing station,only 40%40 \% of all new drivers pass the behind-the-wheel test the first time they take it. A sample of 50 new drivers from a certain high school found that 36%36 \% of them had passed the test the first time. Which of these numbers is a statistic? 40%40 \% 50 36\%

Studdy Solution

STEP 1

What is this asking? Which number describes the smaller group of drivers from one high school, not *all* new drivers? Watch out! Don't mix up a *statistic* (about a sample) with a *parameter* (about an entire population)!

STEP 2

1. Understand Parameter
2. Understand Statistic

STEP 3

A *parameter* describes an entire population.
Think "**P**arameter" and "**P**opulation"!
In this case, the parameter is the \text{40%} pass rate for *all* new drivers taking the test.
It's a big, overall number!

STEP 4

A *statistic* describes a sample of the population.
Think "**S**tatistic" and "**S**ample"!
Here, we have a sample of 50\text{50} new drivers from one high school.
The \text{36%} pass rate within this smaller group is a statistic.
It's about the specific sample!

STEP 5

The statistic is \text{36%}.
This is the percentage from the sample of 50 high school students.

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