https://file.aiquickdraw.com/mathbot/file/1726723526793dr5xdbet.jpg

To solve these problems, we need to use the **z-score formula**:

\[
z = \frac{x - \mu}{\sigma}
\]

where:
- \( x \) is the raw score,
- \( \mu \) is the mean,
- \( \sigma \) is the standard deviation.

### Part 1: ACT score of 19

For the ACT:
- Mean (\( \mu \)) = 22.2
- Standard deviation (\( \sigma \)) = 5.3

Substituting into the z-score formula:

\[
z = \frac{19 - 22.2}{5.3}
\]

### Part 2: SAT score of 562

For the SAT:
- Mean (\( \mu \)) = 515
- Standard deviation (\( \sigma \)) = 117

Substituting into the z-score formula:

\[
z = \frac{562 - 515}{117}
\]

Let me calculate both values.

Find the z-score for an ACT score of 19 and an SAT score of 562, given the mean and standard deviation for each test.

Learn how to find the z-scores for an ACT score of 19 and an SAT score of 562. This problem involves using the mean and standard deviation for both tests to calculate the standardized z-scores. Suitable for high school students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation