What Is a Standard Deviation? Simple Examples Explained

Learn what standard deviation means with easy-to-understand examples showing low and high variation in test scores.

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Standard deviation measures the amount of variation or dispersion in a set of values. For instance, in a class test, the scores 70, 75, 80, 85, and 90 have a low standard deviation, implying consistent performance. In contrast, scores 50, 60, 70, 80, and 100 exhibit a high standard deviation, indicating greater variability in performance.

FAQs & Answers

  1. What does a low standard deviation indicate? A low standard deviation indicates that the data points are clustered closely around the mean, showing consistent values with little variation.
  2. How is standard deviation different from variance? Variance measures the average squared deviation from the mean, while standard deviation is the square root of variance, providing dispersion in the same units as the data.
  3. Why is standard deviation important in statistics? Standard deviation is important because it quantifies the spread of data points, helping to understand variability and make informed decisions based on data consistency.

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