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Two classes A and B each have 50 students. From their less-than ogives, the curve for A lies entirely above (to the left of) the curve for B at every score.
What can you correctly conclude about their medians?

Class 10Cumulative Frequency and OgiveStatistics and Probability
  • AMedian of A is greater than median of B
  • BMedian of A is less than median of B
  • CBoth medians are equal
  • DMedians cannot be compared

Step-by-Step Solution

A's curve reaching higher cf at lower scores means A has more low scores; so A reaches at a smaller score, giving a smaller median than B.
Answer: B) Median of A is less than median of B

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A less-than ogive for 100 students' marks is given by the points…What does 'cumulative frequency' of a class mean?An ogive is the graph of a ____ distribution.For a 'less than' ogive, the points are plotted using which value on the x-axis?For a 'more than' ogive, the points are plotted using which value on the x-axis?