Copyright © Casio, Inc. Activity 12 • Statistics and the Casio fx-9750G Plus 59
Activity 12
IQ Testing
Topic Area: Normal Distribution Calculations
NCTM Standards:
• Understand and apply basic concepts of probability:
• understand the concepts of sample space and probability distribution
and construct sample spaces and distributions in simple cases (9-12)
• use simulations to construct empirical probability distributions (9-12)
• compute and interpret the expected value of random variables in simple
cases (9-12)
Objective
The students will be able to calculate percentiles, ranges, and outliers for a set of
normally distributed data.
Introduction
The normal curve or "bell curve" is helpful in analyzing many types of data. The
normal distribution makes several assumptions. The data is:
• continuous
• symmetric around its mean
• bell-shaped
• mean equals the mode and the median
In this activity the students will explore the cumulative density function and the
inverse cumulative density functions for normally distributed data.
The students should be familiar with the following vocabulary:
mean standard deviation
population sample
outliers percentile
normal distribution cumulative density function
inverse density function
Getting Started
For this activity you will need the Casio fx-9750G Plus graphing calculator. If
your students are calculus level or above, you may want the students to calculate
these values themselves and then check with the calculator.
Teaching Notes
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