Download SLT 104 Intro to Normal Curve US Male Height

Statistics Unit 1: Data in One Variable
Notes & Problem Solving: Standard Deviation and Normal Distribution
SLT 1.4: I can use the mean and standard deviation of a data set to fit it to a normal distribution and to
estimate population percentages.
Notes
 This curve is similar to a _______________________.

The values of the number line represent ______________________________________ above and
below the _____________.

The height of each bin represents __________________________________, instead of
_____________________.
Problem Solving:
By solving these problems in your notebook, you will build up your notes on SLT 1.4.
1. In the United States, the mean height of adult males is 69.2 inches. Translate this height to feet and
inches.
2. The heights of men in the United States are normally distributed with a standard deviation of 2.8 inches.
What is the range of heights within 1𝜎𝑥 of the mean?
3. Approximately what percent of adult U.S. males are taller than 6 feet?
4. In a sample of 50,000 men, approximately how many would be taller than 6 feet?
5. Approximately what percent of U.S. males are shorter than 5’5”?
6. Out of every million men, approximately how many are shorter than 5’5”?
7. Some people say that Michael Jordan was “one in a million.” Michael Jordan is 6’6” tall, and there are
approximately 100,000,000 adult males living in the United States. Approximately how many U.S.
males are the same height as Michael Jordan? Was he one in a million?
8. Approximately how many U.S. males are at least 7 feet tall?