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A normal distribution has a mean �� = 154 and standard deviation �� = 10. Use the 68-95-99.7 rule to answer the following: What percentage of the data falls within one standard deviation of the mean?

1) 68%
2) 95%
3) 99.7%
4) Cannot be determined

1 Answer

4 votes

Final answer:

Approximately 68% of the data falls within one standard deviation of the mean.

Step-by-step explanation:

The percentage of data that falls within one standard deviation of the mean can be determined using the 68-95-99.7 rule. According to this rule, approximately 68% of the data falls within one standard deviation of the mean. This means that if we have a normal distribution with a mean of 154 and a standard deviation of 10, approximately 68% of the data will be between 144 and 164.

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