Question

In a distribution "more than type" and "less than type" ogive are intersecting at a
point (15,20) then the value of median is​

Answer 1

Answer:

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Step-by-step explanation:

so basically to find median graphically for grouped data

we draw ogives namely more than type ogive which is plotted considering lower class limits of corresponding classes and more than type cummulative frequency whereas for less than type ogive we consider upper class limits of corresponding classes and less than type cummulative frequency

thus here point of intersection=(x,y)=(15,20)

so we basically consider y-coordinate for finding median and draw a straight line perpendicular to x axis

so thus our median is 20

Answer 2

Answer:

In a distribution "more than type" and "less than type" ogive are intersecting at a

point (15,20) then the value of median is 20.

Step-by-step explanation:

• let us take the given interval (15,20) as (y,x).
• Here the variable x denotes 20.the variable x is here equal to median.
• Here the variable y denotes 15.The variable y is equal to the number of frequencies.
• In a grouped data, it always has interval and frequency.Here we represent y and x as the interval and frequency of the grouped data.
• An interval is always in the form of "from" and "to".Here 20 is taken as the interval but it is not in the interval format,which means that it is in the form of median.
• Now,there may be a question arises to you.because we always take an interval in the form (x,y).But here why should we take the interval as (y,x).
• I think most of us has this doubt. The reason is that we always take less than type as the x coordinate and more than type as the y coordinate.
• But,here the order being reversed.that's the reason why we have chosen the interval as (y,x).We can also obtain the same result when we solve it in the graph format.
• Hence from this we conclude that In a distribution "more than type" and "less than type" ogive are intersecting at a
• point (15,20) then the value of median would probably be 20.

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