The mean on a Advanced Algebra test was 86 with a standard deviation of 4.5. If the test scores are normal distributed, find the
interval about the mean that contains 68% of the scores. Use the empirical rule.
1 answer:
Using the Empirical Rule, the interval that contains 68% of the scores is [81.5, 90.5].
<h3>What does the Empirical Rule state?</h3>
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.
68% of the scores are within 1 standard deviation of the mean, hence the bounds of the interval are:
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