3. Several intelligence tests follow a normal distribution with a mean of 100 and a standard deviation of 15. a. Determine the percentage of the population that would obtain a score between 95 and 110. b. For a population of 2,500, how many are expected to have a score above 125?

3. Several intelligence tests follow a normal distribution with a mean of 100 and a standard deviation of 15. a. Determine the percentage of the population that would obtain a score between 95 and 110. b. For a population of 2,500, how many are expected to have a score above 125?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

3. Several intelligence tests follow a normal distribution with a mean of 100 and a standard deviation of 15.

a. Determine the percentage of the population that would obtain a score between 95 and 110.

b. For a population of 2,500, how many are expected to have a score above 125?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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