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Define the five-number summary, and explain how to depict it visually with a boxplot. Which five numbers are included in the five-number summary for a data set? A. low value, variance, mean, standard deviation, and high value B. low value, lower quartile, mean, upper quartile, and high value C. Iow value, variance, median, standard deviation, and high value D. Iow value, lower quartile, median, upper quartile, and high value

Ask by Park Bowen. in the United States
Mar 19,2025

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The five-number summary includes the minimum (low value), lower quartile, median, upper quartile, and maximum (high value). A boxplot visually represents these by drawing a box from the lower quartile to the upper quartile, with a line at the median, and whiskers extending to the minimum and maximum values.

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The five-number summary includes the lowest value, lower quartile (Q1), median (Q2), upper quartile (Q3), and the highest value in a data set. This summary provides a quick snapshot of the spread and center of the data, helping to identify patterns or anomalies. To visually depict the five-number summary, you can create a boxplot (or whisker plot). In a boxplot, a box is formed between the lower quartile and upper quartile, with a line inside the box indicating the median. "Whiskers" extend from the box to the lowest and highest values, showcasing the overall data range while also highlighting the central tendency and dispersion. Boxplots are great for visual comparisons between different data sets!

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