Basic Box Plots (Box and Whisker Plots)

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What is a Box Plot (Box and Whisker Plot)?

Back

A graphical representation of a data set that shows the distribution through five summary statistics: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

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What does the Interquartile Range (IQR) represent?

Back

The difference between the third quartile (Q3) and the first quartile (Q1), indicating the range of the middle 50% of the data.

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How do you calculate the Range of a data set?

Back

Subtract the smallest value from the largest value in the data set.

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What are Quartiles?

Back

Values that divide a data set into four equal parts, with Q1 being the first quartile, Q2 the median, and Q3 the third quartile.

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What is the Median in a data set?

Back

The middle value when the data set is ordered from least to greatest; if there is an even number of values, it is the average of the two middle values.

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What is the Least Value in a data set?

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The smallest number in the data set.

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What is the Greatest Value in a data set?

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The largest number in the data set.

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If the first quartile (Q1) is 19 and the third quartile (Q3) is 56, what is the Interquartile Range (IQR)?

Back

37 (Q3 - Q1 = 56 - 19).

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What does a Box Plot visually represent?

Back

The spread and center of a data set, including outliers, through a box and whisker format.

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What is an Outlier in a data set?

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A value that is significantly higher or lower than the other values in the data set, often represented as a point outside the whiskers in a box plot.