Z-Scores and Percentiles
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Objective
I can calculate z-scores and use them to determine percentiles in a normal distribution.
Part 1 of 4
Warm-up video
CrashCourse · 10:55Vetted channel
We don't generate video — this one is by CrashCourse on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
A z-score tells you how many standard deviations a data point is from the mean of its distribution.
- 2
To calculate a z-score, you subtract the mean from the raw score and then divide by the standard deviation.
- 3
Percentiles indicate the percentage of values in a distribution that fall below a specific score.
Part 3 of 4
Practice
7 questions
What is the purpose of using z-scores?
Explain in your own words how to calculate a z-score.
Part 4 of 4
Exit ticket
Quick comprehension check
“A student scores 680 on the math portion of the SAT. If the mean score is 500 and the standard deviation is 100, what is the student's z-score? What percentile is associated with that z-score, assuming a standard normal distribution?”
Sample answer included in the free materials
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