What Is a Standard Deviation? Simple Example Explained

Learn what standard deviation is with a clear example using test scores to understand variation and dispersion in statistics.

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Standard deviation is a measure of the amount of variation or dispersion in a set of values. For example, if you have test scores of 70, 75, 80, 85, and 90, the standard deviation will indicate how much these scores deviate from the average score. A low standard deviation implies the scores are close to the mean, while a high standard deviation indicates more spread out values.

FAQs & Answers

  1. What does a low standard deviation mean? A low standard deviation means the data points are close to the mean, indicating less variability in the dataset.
  2. How do you calculate standard deviation? Standard deviation is calculated by finding the square root of the average of the squared differences from the mean.
  3. Why is standard deviation important in statistics? Standard deviation helps understand the spread or dispersion of data, which is crucial for interpreting variability and consistency.

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