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In a normal distribution, approximately what percentage of data lies within one
In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?
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Q1
In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?
50%
68%
75%
95%
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In a normal distribution, approximately 68% of the data lies within one standard deviation of the mean.
Questions & Step-by-step Solutions
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Q
Q: In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?
Solution:
In a normal distribution, approximately 68% of the data lies within one standard deviation of the mean.
Steps: 5
Show Steps
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.
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