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CA Foundation · Quantitative Aptitude · Statistical Description of Data

For a distribution of marks, the 'less than' ogive and the 'more than' ogive are drawn on the same graph. The x-coordinate of their point of intersection gives:

The x-coordinate of the intersection of the less-than and more-than ogives gives the median. At that point the number of observations below the value equals the number above it, each being half of the total frequency, which is exactly the definition of the median.

  1. AThe medianCorrect
  2. BThe mean
  3. CThe mode
  4. DThe first quartile

Explanation

At the intersection, the cumulative frequency below the value equals the cumulative frequency above it, so each is N/2. The value with N/2 observations on either side is the median. The mean and mode are not located by ogives this way.

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