VCE Together Year 12 The Normal Distribution
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# The Normal Distribution

The Normal Distribution is a part of the VCE Further Maths topic Data Analysis and subtopic Investigating Data Distributions. A normal distribution has the same mean, mode and median. The shape of the data is roughly symmetrical and has a graph called a ‘bell curve’. Standard deviation is a measure of how spread out numbers are. The percentage of data that lies within a certain number of deviations is always the same. This is where the ’65-95-99.7′ rule comes in. If a set of data is normally distributed, we know that 68% of the data lies one standard deviation from the mean, 95% lies within the two standard deviations from the mean, and 99.7% lies within the three standard deviations from the mean.

In this post, we look at using ‘the normal model’ for bell-shaped distributions. We also use the 68–95–99.7% rule to estimate percentages and to give meaning to the standard deviation.

### What Does it Mean to Be Normally Distributed?

Watch this video to learn about the normal distribution and how to use the 65-95-99.7% rule.

Want to learn more? Check out more of our VCE Mathematics resources here!

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