Question

In the given figure curves A and B represent less than ogive and
more than ogive respectively, then find the median and the
number of values in the data it represents.

Answer 1

Answer:

(10,30)

Step-by-step explanation:

Answer 2

Given  : In the given figure curves A and B represent less than ogive and

more than ogive respectively,  

To find  :  the median and the number of values in the data it represents.

Solution:

x - axis generally show the Values

y - axis shows frequency

Median is the x value in intersection point  of  less than ogive and

more than ogive  

y  axis show  the 50%  frequency  at the median

Hence 10  is the median

15  shows 50% cf hence total frequency = 2 * 15  = 30  

Median of given data is 10

Number of values are 30

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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