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In a sales chart the bar for Product X is drawn three times as tall as the bar for Product Y. The figures printed beside the bars are X 90 units and Y 60 units. Which statement is supported by the figures?

Competition practiceData & Probability
  • AX sold 1.5 times as much as Y, so the bar heights misrepresent the comparison
  • BX sold three times as much as Y, so the bars are drawn correctly
  • CX sold 30 units more than Y, which is a 50 percent increase on X's sales
  • DThe comparison is fair, because both bars have the same width

Step-by-Step Solution

The printed figures give 90 ÷ 60 = 1.5, so X sold one and a half times what Y sold, not three times — the drawing overstates the gap. The extra 30 units is a 50 percent increase measured on Y's 60, the correct base for comparing X with Y; measured on X's 90 it would be about 33 percent, so the third statement uses the wrong base. Equal bar widths cannot repair a wrong height scale.
Answer: A) X sold 1.5 times as much as Y, so the bar heights misrepresent the comparison

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