Question

how to find the median from the point of intersection of two cumulative frequency curves(less than and more than cumulative frequency curve).​

Answer 1

Answer:

The median of grouped data can be obtained graphically by plotting the Ogives of the less than type and more than type and locate the point of intersection of both the Ogives. The x-coordinate of the point of intersection of two Ogives gives the median of the grouped data.

Step-by-step explanation:

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Answer 2

Value of x at intersection of cumulative frequency curves (less than and more than cumulative frequency curves gives Median

Step-by-step explanation:

The less than ogive curve gives cumulative frequency (probability) for x ≤ a.

The more than ogive curve gives cumulative frequency (probability) for x ≥ a.

cumulative frequency will be 50% of the total at intersection of the more than ogive and less than ogive  which is Median

As we know that Median is middle data when data is arranged ascending/descending

so  cumulative frequency will be 50%  at Median

as intersection point = (x , y)

x - axis  show the Median Values

y - axis shows cumulative frequency

Hence value of x at intersection point is the Median

y  Show 50% cumulative frequency  

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