Suppose it is known that the average score of all high school seniors taking a national test of basic skills is 460. These scores are normally distributed with a standard deviation of 76. A school gives the test to a sample of 234 seniors. If many random samples of 234 seniors were taken, we would expect about 68% of the samples to have an average score between______ and ________.

Suppose it is known that the average score of all high school seniors taking a national test of basic skills is 460. These scores are normally distributed with a standard deviation of 76. A school gives the test to a sample of 234 seniors. If many random samples of 234 seniors were taken, we would expect about 68% of the samples to have an average score between and __.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

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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