Box Plots

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What is a Box Plot?

Back

A Box Plot is a graphical representation of a dataset that displays the distribution of data based on five summary statistics: minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum.

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What does the lower quartile (Q1) represent in a Box Plot?

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The lower quartile (Q1) represents the median of the lower half of the dataset, meaning 25% of the data points are below this value.

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What does the upper quartile (Q3) represent in a Box Plot?

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The upper quartile (Q3) represents the median of the upper half of the dataset, meaning 75% of the data points are below this value.

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What is the median in a Box Plot?

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The median (Q2) is the middle value of the dataset when it is ordered from least to greatest, dividing the dataset into two equal halves.

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What is the maximum value in a Box Plot?

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The maximum value is the largest data point in the dataset.

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What is the minimum value in a Box Plot?

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The minimum value is the smallest data point in the dataset.

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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 IQR tell us about a dataset?

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The IQR measures the spread of the middle 50% of the data, indicating how concentrated the data points are around the median.

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What is the purpose of a Box Plot?

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

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What does a Box Plot indicate about outliers?

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Outliers are data points that fall significantly outside the range of the Box Plot, typically defined as being 1.5 times the IQR above Q3 or below Q1.