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

Practice Questions

Q1
In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?
  1. 50%
  2. 68%
  3. 75%
  4. 95%

Questions & Step-by-Step Solutions

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.
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