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Standard Deviation

Standard Deviation

Author: Al Greene
Description:

This learning packet should review:
• New terms and definitions
• How to interpret and understand standard deviation
• Define the Emperical Rule and give examples

This packet talks about standard deviation from the understanding and interpretation side, not the mathematical side. We will discuss what it means, how it is interpretted, what the empirical rule and chebyshev's theorem are, and applications of each. Before you start this packet, you should be familiar with the terms range, deviation, and variance.

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Tutorial

Terminology

Some terminology that will be introduced in this packet is:

  •  Standard deviation
  •  Empirical Rule
  •  Chebyshev's theorem

Source: Greene

Standard Deviation

In this powerpoint we talk about how to interpret standard deviation, the empirical rule, and Chebychev's theorem.

Source: Greene

Real Life Applications of Standard Deviation

In sports, you can look at standard deviation of scores to see how consistent a team is.

For example, If an NBA team has an average of 110 points per game, that is very good. But if they have a high standard deviation, that means that they will score very few points on certain nights, and a lot more points on other nights. You would rather have a team consistently scoring around 110 points, instead of scoring 85 points one night, and 135 points the next.

Land can change temperatures quite a bit easier than water. This means that even though the average temperature of two places may be the same, the standard deviations will vary greatly. A coastal city may have temperatures that vary between 40 and 70 degrees, whereas a city far inland could have a range of temperatures between -10 and 100 degrees. They have averages that are similar, but their standard deviations will vary greatly.

Source: Greene