Box-and-Whisker Plot

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What is a Box-and-Whisker Plot?

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A Box-and-Whisker Plot is a graphical representation of a dataset that displays its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

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What does the maximum value represent in a Box-and-Whisker Plot?

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The maximum value represents the highest data point in the dataset.

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What does the minimum value represent in a Box-and-Whisker Plot?

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The minimum value represents the lowest data point in the dataset.

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How is the median defined in a Box-and-Whisker Plot?

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The median is the middle value of the dataset when it is ordered from least to greatest.

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What is the significance of the upper quartile (Q3) in a Box-and-Whisker Plot?

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The upper quartile (Q3) is the median of the upper half of the dataset, representing the 75th percentile.

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What is the significance of the lower quartile (Q1) in a Box-and-Whisker Plot?

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The lower quartile (Q1) is the median of the lower half of the dataset, representing the 25th 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 the lower quartile (Q1) from the upper quartile (Q3): IQR = Q3 - Q1.

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What does the whisker represent in a Box-and-Whisker Plot?

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The whiskers extend from the quartiles to the minimum and maximum values, showing the range of the data.

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What is the purpose of a Box-and-Whisker Plot?

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The purpose of a Box-and-Whisker Plot is to summarize and visualize the distribution of a dataset, highlighting its central tendency and variability.

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How can you identify outliers using a Box-and-Whisker Plot?

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Outliers can be identified as data points that fall below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR.