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Understanding Empirical Rule in Data Analysis: Normal Distribution of Children's Heights

Explore the Empirical Rule in data analysis using a normal distribution model of children's heights. Calculate heights above and below the mean, determine percentile rankings, and analyze percentages based on standard deviations.

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Understanding Empirical Rule in Data Analysis: Normal Distribution of Children's Heights

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  1. Get out the Performance Task 1 from Yesterday 4/10/12

  2. Questions over P.T.1

  3. Data Analysis Empirical Rule

  4. What is the Empirical Rule?

  5. 1 Standard Deviation from the mean: _______%

  6. 2 Standard Deviation from the mean: _______%

  7. 3 Standard Deviation from the mean: _______%

  8. 1. In a normal distribution, the mean height of 10-year old children is 138 cm and the standard deviation is 5 cm. a) Sketch the model of the normal distribution.

  9. 1. In a normal distribution, the mean height of 10-year old children is 138 cm and the standard deviation is 5 cm. b) What is the height exactly 1 SD above the mean? Below the mean? c) What is the height exactly 2 SD above the mean? Below the mean? d) What percent of the children are shorter than 143 cm? e) What percent of the children are between 128 and 138 cm? f) A height of 137 cm is above the ____ percentile but less than the ____ percentile. g) Heights that would occur less than 5% of the time are _________.

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