Approximately what percentage of a normal distribution lies between 1 standard deviation below and 1 standard deviation above the mean?

Approximately what percentage of a normal distribution lies between 1 standard deviation below and 1 standard deviation above the mean?

A. 99.7%

B. 95%

C. 68

D. 50

The percentage of a normal distribution that lies between 1 standard deviation below and 1 standard deviation above the mean is approximately **68%**. This corresponds to option:

**C. 68**

This is derived from the empirical rule (or 68-95-99.7 rule), which tells us that:
- About 68% of the data falls within 1 standard deviation of the mean,
- About 95% within 2 standard deviations, and
- About 99.7% within 3 standard deviations.

Would you like further details or have any questions? 

Here are 5 related questions you might find useful:
1. What percentage of data lies within 2 standard deviations of the mean?
2. How does the empirical rule apply to non-normal distributions?
3. What is the relationship between the mean, median, and mode in a normal distribution?
4. How do you calculate standard deviation for a given data set?
5. What does it mean if a data point lies beyond 3 standard deviations from the mean?

**Tip**: The empirical rule is particularly helpful in assessing the spread of data in a normal distribution without having to do complex calculations.

Approximately what percentage of a normal distribution lies between 1 standard deviation below and 1 standard deviation above the mean?

A. 99.7%
B. 95%
C. 68
D. 50

Learn how the empirical rule applies to normal distributions. This problem explains that approximately 68% of data lies between 1 standard deviation below and 1 standard deviation above the mean, based on the 68-95-99.7 rule. Suitable for students in Grades 9-12.

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