Standard Deviation

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What is Standard Deviation?

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A measure of the amount of variation or dispersion in a set of values.

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What does a low standard deviation indicate about a data set?

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The data points tend to be close to the mean, indicating less variability.

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What does a high standard deviation indicate about a data set?

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The data points are spread out over a wider range of values, indicating more variability.

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How is standard deviation calculated?

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1. Find the mean of the data set. 2. Subtract the mean from each data point and square the result. 3. Find the average of these squared differences. 4. Take the square root of that average.

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What is the symbol for standard deviation?

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σ (sigma) for population standard deviation, s for sample standard deviation.

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What is the difference between population and sample standard deviation?

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Population standard deviation uses all data points, while sample standard deviation uses a subset of data points.

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What is variance?

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The average of the squared differences from the mean; it is the square of the standard deviation.

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What is the relationship between standard deviation and variance?

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Standard deviation is the square root of variance.

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What is the mean?

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The average of a set of numbers, calculated by dividing the sum of the values by the number of values.

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What is the median?

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The middle value in a data set when the numbers are arranged in order.