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CA Foundation · Quantitative Aptitude · Statistical Description of Data

For the daily sales (in units) of 50 outlets of a Mumbai bakery chain, the 'less than' cumulative frequencies are: less than 20: 4; less than 40: 14; less than 60: 32; less than 80: 44; less than 100: 50. The median is read from the less than ogive. At which cumulative frequency on the vertical axis is a horizontal line drawn to read the median?

A horizontal line is drawn at cumulative frequency 25, which is N/2 for N = 50. The x-value where this line meets the ogive is the median. Using 50 would instead locate the upper end of the distribution.

  1. A50
  2. B25Correct
  3. C32
  4. D100

Explanation

The median corresponds to the point where cumulative frequency equals N/2. Here N = 50, so N/2 = 25. A horizontal line from 25 meets the ogive, and the x-value there is the median. Using 50 would give the maximum value, not the median.

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