Multiple choice

For a given data with 35 observations the less than ogive' and more than ogive' intersect at (28.5, 30). The median of the data is :

  1. 28.5

  2. 30

  3. 1.5

  4. 35

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A Correct answer
Explanation

The intersection point of the less than and more than ogives gives the median on the x-axis.

AI explanation

For any grouped data, the intersection point of the less than ogive and the more than ogive gives the median directly from the graph. The x-coordinate of this intersection represents the median, while the y-coordinate represents the cumulative frequency. Since the curves intersect at the point (28.5, 30), the median is 28.5.