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Sagot :
Using the Empirical Rule, it is found that:
- Scores between 80% and 96% are within 2 standard deviations of the mean.
- 68 scores are within one standard deviation of the mean.
What does the Empirical Rule state?
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Considering the mean of 88% and the standard deviation of 4%, the scores that are within 2 standard deviations of the mean are:
- 88 - 2 x 4 = 80%.
- 88 + 2 x 4 = 96%.
68% are within 1 standard deviation of the mean, hence, out of 100:
0.68 x 100% = 68 scores.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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