consider a normal distribution with a mean of 500 and a standard deviation of 50. a. Below what value can we expect to have the lowest 20%? b. Between what values can we expect to find the middle 80%?

consider a normal distribution with a mean of 500 and a standard deviation of 50. a. Below what value can we expect to have the lowest 20%? b. Between what values can we expect to find the middle 80%?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 23PFA

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Question

consider a normal distribution with a mean of 500 and a standard deviation of 50.
a. Below what value can we expect to have the lowest 20%?

b. Between what values can we expect to find the middle 80%?

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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