In a normal distribution, what percentage of data lies within one standard devia

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Question: In a normal distribution, what percentage of data lies within one standard deviation of the mean?

Options:

Correct Answer: 68%

Solution:

In a normal distribution, approximately 68% of the data lies within one standard deviation of the mean.

In a normal distribution, what percentage of data lies within one standard deviation of the mean?

In a normal distribution, what percentage of data lies within one standard deviation of the mean?

Correct Answer: 68%

Step 1: Understand what a normal distribution is. It is a bell-shaped curve that shows how data is spread out.
Step 2: Identify the mean, which is the average value of the data.
Step 3: Know what standard deviation means. It measures how spread out the data is from the mean.
Step 4: Recognize that one standard deviation from the mean includes values that are close to the average.
Step 5: Learn that in a normal distribution, about 68% of all data points fall within one standard deviation above and below the mean.

Normal Distribution – A probability distribution that is symmetric about the mean, where most of the observations cluster around the central peak and probabilities for values further away from the mean taper off equally in both directions.
Standard Deviation – A measure of the amount of variation or dispersion in a set of values, indicating how much the values typically deviate from the mean.
Empirical Rule – A statistical rule stating that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.