# Lesson 2 Just ACT Normal Solidify Understanding

## Learning Focus

Interpret standardized test scores that are distributed normally.

How can understanding normal distributions help us interpret test scores and other real-life data?

## Open Up the Math: Launch, Explore, Discuss

One of the most common examples of a normal distribution is the distribution of scores on standardized tests like the ACT. In 2010, the mean score was

Why does it make sense that scores are distributed normally on a standardized test?

### 1.

Use this information to sketch a normal distribution curve for this test.

Use technology to check your graph. Did you get the points of inflection in the right places? (Make adjustments, if necessary.)

### 2.

In *What Is Normal*, you learned the

#### a.

What percentage of students scored below

#### b.

About what percentage of students scored above

#### c.

About what percentage of students scored between

### 3.

Your friend, Calvin, would like to go to a very selective college that only admits the top

Pause and Reflect

### 4.

Many students like to eat microwave popcorn as they study for the ACT. Microwave popcorn producers assume that the time it takes for a kernel to pop is distributed normally with a mean of

## Ready for More?

Here’s a challenge: Estimate the percent of test-takers who scored between

## Takeaways

Estimating population percentages from a normal distribution:

## Lesson Summary

In this lesson, we sketched a normal distribution and used it to estimate population percentages. We found a process that helps to visualize the region included so that the

### 1.

You survey

### 2.

Find all solutions to