Statistics: Presentation of Data · Class 11 · CBSE · Commerce Economics

A continuous frequency distribution has the following classes and frequencies: 0–10: 20, 10–30: 30, and 30–40: 10. If a histogram is drawn for these…

Practice question from Statistics: Presentation of Data (Class 11 · CBSE · Commerce Economics), with the correct answer and a step-by-step solution.

hard · MCQ · Q-1ABD9F

A continuous frequency distribution has the following classes and frequencies: 0–10: 20, 10–30: 30, and 30–40: 10. If a histogram is drawn for these unequal class intervals, what should be the relative heights of the three rectangles, using frequency density as height?

  1. A.2, 1.5, 1Correct answer
  2. B.20, 30, 10
  3. C.1, 2, 1.5
  4. D.10, 20, 10

Solution

For unequal class widths, histogram height is based on frequency density, calculated as frequency divided by class width. The densities are 20/10=220/10=2, 30/20=1.530/20=1.5, and 10/10=110/10=1.

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