Five Number Summary

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What is the Five Number Summary?

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The Five Number Summary consists of five key statistics that summarize a data set: Minimum, First Quartile (Q1), Median (Q2), Third Quartile (Q3), and Maximum.

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What does Minimum represent in the Five Number Summary?

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Minimum is the smallest value in a data set.

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What does Maximum represent in the Five Number Summary?

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Maximum is the largest value in a data set.

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What is the Median in the context of the Five Number Summary?

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The Median (Q2) is the middle value of a data set when it is ordered from least to greatest.

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What is Quartile 1 (Q1)?

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Quartile 1 (Q1) is the median of the lower half of a data set, representing the 25th percentile.

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What is Quartile 3 (Q3)?

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Quartile 3 (Q3) is the median of the upper half of a data set, representing the 75th percentile.

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How do you calculate the Interquartile Range (IQR)?

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The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3: IQR = Q3 - Q1.

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What is the purpose of the Five Number Summary?

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The Five Number Summary provides a quick overview of the distribution, spread, and center of a data set.

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What is the Interquartile Range (IQR) used for?

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The IQR is used to measure the spread of the middle 50% of a data set and to identify outliers.

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What is an outlier in a data set?

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An outlier is a value that is significantly higher or lower than the other values in a data set.