In a normal distribution, what percentage of data falls within one standard devi

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

Options:

Correct Answer: 68%

Solution:

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

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

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

Step 1: Understand what a normal distribution is. It is a bell-shaped curve where most of the data points are close to the mean (average).
Step 2: Identify the mean in a normal distribution. The mean is the center point of the data.
Step 3: Learn about standard deviation. It measures how spread out the data is from the mean.
Step 4: Know that one standard deviation means you look at the range from (mean - standard deviation) to (mean + standard deviation).
Step 5: Recognize that in a normal distribution, about 68% of the data points fall within this range of one standard deviation from the mean.

Normal Distribution – A probability distribution that is symmetric about the mean, where most 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.