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The number of weekly sales calls by a sample of 25 pharmaceutical salespersons is below. How many classes should be used in the construction of a histogram? H7, 33, 31, 40, 50

Ask by Newton Chang. in the United States
Mar 14,2025

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6 classes should be used in the histogram.

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The Deep Dive

To determine the number of classes for a histogram, you can use Sturges' formula, which is often expressed as \( k = 1 + 3.322 \log(n) \), where \( n \) is the number of data points. In this case, with 25 salespersons, Sturges' formula gives us \( k = 1 + 3.322 \log(25) \), which can be approximated to about 6 classes. This means you should aim for around 6 categories to express your data effectively! When constructing your histogram, it's essential to remember that the classes (or bins) should be of equal width and should cover the entire range of your data. A common mistake is having overlapping or unequal class widths, which can lead to misinterpretation of the data distribution. Ensure your classes are neatly defined to truly reflect the sales trends!

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