Maths · Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data

Which one of the following statements is not correct with reference to a histogr

Which one of the following statements is not correct with reference to a histogram?

  • A. Frequency curve is obtained by joining the midpoints of the top of the adjacent rectangles with smooth curves
  • B. Histogram is drawn for continuous data
  • C. The height of the bar is proportional to the frequency of that class
  • D. Mode of the distribution can be obtained from the histogram

Step-by-step solution

In a histogram, the area of each bar is proportional to the frequency of the class, not necessarily the height. Height is proportional to frequency density (frequency per class interval), so statement C is incorrect when class intervals are unequal. Options A, B, and D are correct.
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