Optimal Histogram Class Width Selection

00:00 3 marks

Consider a dataset with 100 observations ranging from 0 to 200. Explain how to choose an optimal class width for constructing a histogram. In your answer, discuss the trade-off between having sufficient detail and avoiding excessive noise in the representation of the data distribution.

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Hint

Remember to consider both the range of the data and a reasonable number of classes when selecting the interval.

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Complete Answer

An optimal class width balances sufficient detail with clarity, typically determined by dividing the data range by a carefully chosen number of classes that avoids overly granular or overly coarse intervals.

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