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According to the 95% part of the 68-95-99.7 rule, 95% of all values of [tex]x[/tex] fall within how many points on either side of the unknown mean? Give your answer to four decimal places.

Answer :

The 68-95-99.7 rule, also known as the empirical rule, is a guideline for understanding the distribution of data in a normal distribution. This rule states the following:

1. 68% of data falls within 1 standard deviation from the mean.
2. 95% of data falls within 2 standard deviations from the mean.
3. 99.7% of data falls within 3 standard deviations from the mean.

For this question, you're asked about the 95% part of this rule. This means we need to find out how many points on either side of the mean contain 95% of all values.

According to the rule:

- 95% of values fall within 2 standard deviations from the mean.

Therefore, the answer is that 95% of all values fall within 2 standard deviations on either side of the mean.

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