1Cademy - Example of Standard Deviations in Distributions

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Standard Deviation

Example

Example of Standard Deviations in Distributions

The standard deviation quantifies the average distance of scores from the mean. For example, when comparing two distributions with the same mean of $10$ , a distribution where scores are tightly clustered near the center might have a standard deviation of $1.69$ , meaning scores differ from the mean by about $1.69$ units on average. In contrast, a distribution with scores spread across a broader range might have a standard deviation of $4.30$ , meaning scores differ from the mean by about $4.30$ units on average.