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Normal Distribution: Raw scores

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Suppose we have a population of scores with a mean (mu) of 200 and a standard deviation (sigma) of 10. Assume that the distribution is normal. Provide answers to the following questions:

1. What score would cut off the top 5 percent of scores?
2. What score would cut off the bottom 5 percent of scores?
3. What score would cut off the top 2.5 percent of scores?
4. What score would cut off the bottom 2.5 percent of scores?

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Solution Summary

The solution provides step by step method for the calculation of raw scores using the Z score. Formula for the calculation and Interpretations of the results are also included.

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Suppose we have a population of scores with a mean (µ) of 200 and a standard deviation (σ) of 10. Assume that the distribution is normal. Provide answers to the following questions:
Answers
Let X be the score of the population. Given that X is normal with mean µ = 200 and standard deviation  = 10.
Standardizing the variable X using and from ...

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