Standard Deviation and Distribution

Front

What is Standard Deviation?

Back

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

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What is an outlier?

Back

A data point that differs significantly from other observations in a dataset.

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What does a skewed left distribution look like?

Back

A distribution where the tail on the left side is longer or fatter than the right side.

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What does a skewed right distribution look like?

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A distribution where the tail on the right side is longer or fatter than the left side.

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What is a symmetrical distribution?

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A distribution where the left and right sides are mirror images of each other.

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How do you identify an outlier in a dataset?

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By calculating the interquartile range (IQR) and determining if any points fall outside 1.5 times the IQR above the third quartile or below the first quartile.

Front

What is the purpose of calculating standard deviation?

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To quantify the amount of variation or dispersion in a set of data points.

Front

What is the relationship between mean and standard deviation?

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The mean provides a measure of central tendency, while the standard deviation indicates how spread out the values are around the mean.

Front

What does it mean if a distribution is skewed?

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It means that the data points are not evenly distributed around the mean, leading to a longer tail on one side.

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What is the formula for standard deviation?

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The standard deviation (σ) is calculated as the square root of the variance.