The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its:

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Mean

Median

Mode

All of the above

answer is B.

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Detailed Solution

The median is the value in the middle of a set of data. When we plot a graph of more than one type, the value of cumulative frequency decreases from maximum to minimum, and when we plot a graph of less than one type, it increases from minimum to maximum. Regardless of the type of cumulative frequency, both curves have a common middle value that is at the point where the total cumulative frequency is exactly half.
When we plot both of these curves together, we get an intersection point that gives us the data's median.
Hence, the correct option is 2.

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