Finding X in Normal Distributions
Grade 11th Grade · Math · 45 min
What's Included
Learning Objective
I can determine the value of x corresponding to a given probability in a normal distribution.
Warm-Up Video
Math and Stats Help · 8:42
Find X-value for Normal Distribution Using the Normal Table
Guided Notes
3 key concepts
- 1
To find the x value (random variable) for a normal distribution, you can use the formula: x = mean + (z-score × standard deviation).
- 2
If you are looking for the top tenth percentile, you need to find the z-score that corresponds to an area of 0.9 to the left in the normal table.
- 3
When finding the heights equidistant from the mean that contain 88% of the population, you need to find the z-scores that correspond to 0.06 in each tail (above and below the mean).
Practice Questions
8 questions · Multiple choice & Short answer
Exit Ticket
Quick comprehension check
“The heights of men are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. Find the height corresponding to the 90th percentile. Show your work, including the z-score you used.”
Complete Lesson Package
Get all 3 ready-to-use resources:
