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 ________.

MATLAB: An Introduction with Applications
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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 ________.

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Chebyshev's theorem and empirical rule are used to calculate the percentages of data lies within different values of the standard deviations. Empirical rule can only be applied to normal distribution.

Normal distribution is a continuous distribution which has many real life applications. Normal curve is a bell shaped curve and it is symmetric about the mean.

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