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

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

In a normal distribution, approximately 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' means the range from the mean minus one standard deviation to the mean plus one standard deviation.
Step 5: Learn that in a normal distribution, about 68% of the data falls 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.
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.