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What two scores would divide a normal distribution such that 68.26% of the general population falls within them if the mean is 100 and the standard deviation is 15?

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Final answer:

The two scores that divide a normal distribution such that 68.26% of the general population falls within them, when the mean is 100 and the standard deviation is 15, are 85 and 115.

Step-by-step explanation:

To find the two scores that divide a normal distribution such that 68.26% of the general population falls within them, we can use the empirical rule.

The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.

Given that the mean is 100 and the standard deviation is 15, we can calculate the two scores as follows:

The lower score would be 100 - 15 = 85, and the upper score would be 100 + 15 = 115. Therefore, 68.26% of the general population falls between 85 and 115.

User Paulo Pedroso
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