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Question

The abscissa of the point of intersection of less than type and of the more than types cumulative frequency curves of a grouped data gives its
(a) mean (b) median (c) mode (d) all the three above

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Solution

The less than ogive and more than ogive when drawn on the same graph intersect at a point. From this point, if we draw a perpendicular on the x-axis, the point at which it cuts the x-axis gives us the median.
Thus, the abscissa of the point of intersection of less than type and of the more than type cumulative curves of a grouped data gives its median.
Hence, the correct answer is option (b).

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