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CA Foundation · Quantitative Aptitude · Statistical Description of Data

Which statement about a histogram and a bar diagram is correct?

The correct statement is that in a histogram of a continuous distribution the bars are adjacent and the width equals the class interval. Bar diagrams have separated bars where only height matters, so the other statements confuse the two diagrams.

  1. AIn a histogram the bars are separated by gaps, and the bar width carries no meaning
  2. BIn a bar diagram the area of each bar is proportional to the class frequency
  3. CIn a histogram of a continuous distribution the bars are adjacent and the width represents the class intervalCorrect
  4. DBoth a histogram and a bar diagram require the bars to be of equal width and the values on the x-axis to be continuous

Explanation

A histogram represents a continuous frequency distribution, so its rectangles touch and width equals the class interval. A bar diagram has gaps between bars and only height matters, so statements about gaps in histograms or area in bar diagrams are wrong.

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