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On a test that has a normal distribution, a score of 49 falls two standard deviations below the mean, and a score of 61 falls one standard deviation above the mean. Determine the mean of this test.

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The mean of this test will be 57.

What is Standard Deviation and Mean?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

The mean can be used to get an overall idea, or picture, of the data set.

Let Mean be 'm'

and standard deviation=[tex]\sigma[/tex]

So, m-2[tex]\sigma[/tex]=49

and, m + [tex]\sigma[/tex]=61

Solving the above two equation we get

[tex]\sigma =4[/tex]

Now, m= 61-[tex]\sigma[/tex]

= 61-4

= 57

So , the mean of this test will be =57

Learn more about mean and standard deviation here:


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