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Understanding Mean, Variance, and Standard Deviation Through Dog Height Analysis

This lesson covers the fundamental statistical concepts of mean, variance, and standard deviation using a practical example of measuring dog heights. The mean represents the average height, while variance quantifies the deviations from the mean. Standard deviation provides insight into how spread out the heights are. For an exciting hands-on experience, students will measure dog heights and calculate these statistics. This activity emphasizes understanding what is normal height and highlights the differences among various dog breeds, fostering engagement in learning statistics.

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Understanding Mean, Variance, and Standard Deviation Through Dog Height Analysis

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  1. 7.6 Standard Deviation April 26, 2013

  2. Mean Definition: The sum of numbers divided by how many numbers there are in the set of data (n). Also known as the “average” read as “x bar” Symbol: Variance Definition: The average of the squared differences from the mean. Formula:

  3. Standard Deviation Definition: is a measure of how spread out numbers are.  (sigma) Formula: Symbol:

  4. You and your friends just measured the heights of your dogs. The heights (at the shoulders) are: 600mm, 470mm, 170mm, 430mm and 300mm.Find out the Mean, the Variance, and the Standard Deviation.

  5. Finding the mean Mean (average)

  6. Finding the Variance

  7. Finding the Standard Deviation So, using the Standard Deviation we have a "standard" way of knowing what is normal, and what is extra large or extra small. Rottweilersare tall dogs. And Dachshunds are a bit short ... but don't tell them!

  8. Homework WS 7.6 Skip #1 “Class trip to the Coca Cola factory. I hope there is no pop quiz!”

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