Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I rearranged the bars on my histogram so that the tallest bar came first. Choose the correct answer below. A. The statement makes sense because the bar heights of a histogram have a natural order. B. The statement does not make sense because the bars of a histogram have a natural order. C. The statement makes sense because the graph will look better organized by height. D. The statement does not make sense because the bar widths of a histogram have a specific meaning.

To evaluate the statement "I rearranged the bars on my histogram so that the tallest bar came first," we need to consider the nature of histograms and the implications of rearranging their bars. 1. **Understanding Histograms**: A histogram is a graphical representation of the distribution of numerical data. It consists of bars where: - The width of each bar represents a range of values (bins). - The height of each bar represents the frequency (or count) of data points within that range. 2. **Natural Order of Bars**: In a histogram, the bars are typically arranged in a specific order based on the bins they represent. This order is important because it reflects the underlying data distribution. Rearranging the bars disrupts this order and can lead to misinterpretation of the data. 3. **Evaluating the Options**: - **A**: The statement makes sense because the bar heights of a histogram have a natural order. (This is misleading; while heights can be compared, the order of bins is crucial.) - **B**: The statement does not make sense because the bars of a histogram have a natural order. (This is correct; the order of bins is essential for accurate representation.) - **C**: The statement makes sense because the graph will look better organized by height. (This is subjective and does not address the importance of bin order.) - **D**: The statement does not make sense because the bar widths of a histogram have a specific meaning. (While widths do have meaning, the primary issue is the order of the bars.) Based on this reasoning, the best answer is: **B. The statement does not make sense because the bars of a histogram have a natural order.** This option correctly identifies that rearranging the bars disrupts the essential representation of the data distribution.