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CA Foundation · Quantitative Aptitude · Statistical Description of Data

In a 'less than' ogive and a 'more than' ogive drawn for the same grouped data on the same graph, the x-coordinate of the point where the two curves intersect gives approximately which measure?

The intersection point of the less than and more than ogives gives the median. At that point both cumulative frequencies equal half the total number of observations, so the x-value divides the data into two equal parts. The mode is read from a histogram instead.

  1. AMean
  2. BMode
  3. CMedianCorrect
  4. DRange

Explanation

At the intersection, the less than cumulative frequency equals the more than cumulative frequency, each being N/2. The value on the x-axis at that point splits the data into two equal halves, which is the median. The mode is found from a histogram, not from ogives.

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