Opening Routine The scores of a reference population on the Wechsler Intelligence Scale for Children (WISC) are normally distributed with μ = 100 and σ = 15. A school district classifies children as “gifted” if their WISC scores exceeds 135. There are 1300 sixth-graders in the school district. About how many of them are gifted?

Topic 2 – Statistics Class 5 – The Normal Distribution (Part 3) Mr. Solórzano – Algebra 2

Essential Question and Objectives Standard MAFS.912.S-ID.1.4: Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve Essential Question and Objectives -How can I calculate population percentages, when the standard deviations falls outside the Empirical Rule? Calculate population percentages in-between two standard deviations outside the Empirical Rule Student will calculate the z-score and use it to compare two data points.

Closing Activity The scores on a recent test are normally distributed. John’s test score of 69 was 1 standard deviation below the mean. Betty’s test score of 99 was 3 standard deviations above the mean. What are the mean and standard deviation for the test score distribution? A town has 685 households. The number of people per household is normally distributed with a mean, μ, of 3.67 and a standard deviation, 𝜎, of 0.34. Approximately how many households have between 2.999 and 4.01 people