Based upon extensive data from a national high school educational testing program, the standard deviation of national test scores for mathematics was found to be 121 points. If a sample of 256 students are given the test, what would be the standard error of the mean?

The standard error of the mean is defined as the ratio of standard deviation to the square root of the sample size of a data. The standard error of the mean is mathematically expressed as shown below;

[tex]X = \frac{\sigma}{\sqrt{n} }[/tex]

X is the standard error of the mean

[tex]\sigma[/tex] is the standard deviation

n is the sample size.

Given;

[tex]\sigma = 121\\n = 256[/tex]

On substitution into the formula we have;

[tex]X = \frac{121}{\sqrt{256} }[/tex]

[tex]X = \frac{121}{16} }\\[/tex]

X ≈ 7.56

Based upon extensive data from a national high school educational testing​ program, the standard deviation of national test scores for mathematics was found to be 121 points. If a sample of 256 students are given the​ test, what would be the standard error of the​ mean?

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The standard error of the mean is 7.56

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Based upon extensive data from a national high school educational testing program, the standard deviation of national test scores for mathematics was found to be 121 points. If a sample of 256 students are given the test, what would be the standard error of the mean?