# Normal Distribution: Raw scores

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?

https://brainmass.com/statistics/normal-distribution/normal-distribution-raw-scores-330942

#### Solution Preview

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Z table questions

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 ...

#### 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.