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The 'less than' ogive and the 'more than' ogive of the same grouped distribution are drawn on one pair of axes. What does the point where the two curves cross tell you?

Competition practiceData & Probability
  • AIts -coordinate is the median of the distribution
  • BIts -coordinate is the median of the distribution
  • CIts -coordinate is the mean of the distribution
  • DIts -coordinate is the boundary of the modal class

Step-by-Step Solution

At the crossing point the number of observations below the value equals the number above it, and each of those counts must therefore be n/2. The value read off the horizontal axis is thus the median. The vertical coordinate there is n/2, which is a COUNT of observations and not the median itself — that is the usual mix-up. Neither the mean nor anything about the modal class can be read from this crossing.
Answer: B) Its -coordinate is the median of the distribution

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