Standard Deviation

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What is standard deviation?

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Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

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How is standard deviation calculated?

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Standard deviation is calculated by taking the square root of the variance. Variance is the average of the squared differences from the mean.

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What does a standard deviation of 0 indicate?

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A standard deviation of 0 indicates that all values in the data set are identical and there is no variation.

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What is variance?

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Variance is the average of the squared differences from the mean. It quantifies how much the numbers in a data set differ from the mean.

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How do you find the mean of a data set?

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To find the mean, add all the numbers in the data set and divide by the total number of values.

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What is the median?

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The median is the middle number in a sorted list of numbers. If there are two middle numbers, the median is the average of those two numbers.

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What is the mode?

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The mode is the number that appears most frequently in a data set.

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How do you find the median of a data set with an even number of values?

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To find the median, add the two middle numbers and divide by 2.

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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. Variance measures the average squared deviation from the mean, while standard deviation provides a measure of spread in the same units as the data.

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

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A higher standard deviation indicates that the data points are more spread out from the mean, showing greater variability.