Assume that the mean of a normal distribution of IQ scores is 102 and the standard deviation is 15. You have been told that your test score is 1 standard deviation above the mean. What is your IQ test score?

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27-01-2020
Mathematics

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Assume that the mean of a normal distribution of IQ scores is 102 and the standard deviation is 15. You have been told that your test score is 1 standard deviation above the mean. What is your IQ test score?

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Favouredlyf Favouredlyf · Answer 1 · 2020-01-27T22:56:56+01:00

Answer: your IQ test score is 117

Step-by-step explanation:

Assume that the mean of a normal distribution of IQ scores is 102 and the standard deviation is 15.

If you have been told that your test score is 1 standard deviation above the mean, it means that your score would be

102 + 15 = 117

According to the empirical rule, 68% of data falls within the first standard deviation from the mean. This means that 117 falls within 68% of the scores.