Answer :
Final Answer:
To include 99.7% of the students using the 68-95-99.7 rule, the range of scores would typically be within three standard deviations of the mean.
Explanation:
The 68-95-99.7 rule, also known as the empirical rule, is a statistical guideline that helps us understand the distribution of data in a normal distribution.
According to this rule, approximately 68% of data falls within one standard deviation of the mean, about 95% within two standard deviations, and nearly 99.7% within three standard deviations.
To find a range that includes 99.7% of the students, we need to go three standard deviations above and below the mean. This range covers the vast majority of the population and is a typical measure of the spread of data in a normal distribution.
In summary, to include 99.7% of the students using the 68-95-99.7 rule, we consider a range that is typically within three standard deviations of the mean.
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