Question

For a given distribution with 100 observations, the less than' ogive and
more than' ogive intersect at (58, 50). The median of the distribution is____________

Answer 1

The median of the distribution is 58

Step by Step Explanation:

Given Data

It has given distribution with 100 observations.

The less than' o give  and more than' o give intersect at (58,50).

To find:The Median of the distribution

Normally,First arrange the given observations in ascending or descending order.

Then, prepare a cumulative frequency table.

Let n be the total number of observations (sum of frequencies).

If n is even then,

$\text{Median} =\frac{ [\text{value of} \ [\frac{ \text{n}}{2}] + [(\frac{ \text{n}}{2} +1)] \text{observations}]}{2}$

In the point(58,50)

But here x represent the median,

              y represent as n/2.

which mean,

x=58=median;

$\text{y}= 50 = \frac{\text{n}}{2}$

Therefore, the median of the distribution with 100 observations, less than' o give and more than' o give intersect at (58, 50) is 58.

To Learn More ...

1. If the less than ogive and more than ogive intersect each other at ( 20.5,15.5 ), then the median of the given data is : A ) 36.0 B) 20.5 C ) 15.5 D ) 5.5

https://brainly.in/question/717567

2.For a given data with 90 observation less than ogive and more than ogive intersect at(137,45),then the median of the data is _______?

https://brainly.in/question/8531770