Question

A data has 30 values. Its median is 60. Then find point where the more than and less than ogives drawn for it will meet.

Answer 1

Given  :  A data has 30 values. Its median is 60

To Find   point where the more than and less than ogives drawn for it will meet.

Solution:

x - axis generally show the Values

y - axis shows frequency

Median is the x value in intersection point

y  axis show  the 50%  frequency  at the median

less than ogive and more than ogive intersect each other at 50% frequency

data has 30 values => total frequency  = 30

=> 30/2 = 15  

so y coordinate = 15

Median of given data is  60

=> x coordinate = 60

So  point where the more than and less than ogives drawn for it will meet.

= ( 60 , 15)

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

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