A student decides to draw a histogram for a set of only 40 observations but chooses…

MATHEMATICS · Single correct · AP · AP Statistics · Exploring One-Variable Data · Exploring One-Variable Data

Problem

A student decides to draw a histogram for a set of only 40 observations but chooses to create 25 separate class intervals of equal width. Which of the following outcomes is most likely? (a) Several classes will automatically merge into a single bar, hiding most of the variation in the data. (b) Because the class widths are so small, each bar will look unusually tall, creating the false impression of very high frequencies in every class. (c) The histogram will show many bars with very small or zero height, making the overall distribution hard to interpret. (d) All bars will adjust their heights so that the histogram has equal frequencies in every class.

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