## Class | 500-600 | 600-700 | 700-800 | 800-900 | 900-1000| Frequency| 36. | 32 | 32. | 20. | 30.

Question

Class | 500-600 | 600-700 | 700-800 | 800-900 | 900-1000|
Frequency| 36. | 32 | 32. | 20. | 30. |

Find the median of given distribution.​

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1 month 2021-08-13T06:43:39+00:00 2 Answers 0 views 0

1. Question :

Find the median of given distribution :

Theory :

Steps to find Median of a grouped distribution

1) Find the cumulative frequency ( c.f)

2) Find where ,

3) See the c.f just greater than N/2 and determine the corresponding class

4) Then , use Formula of median;

Here ,l = lower limit of the median class

f=frequency of the median class

h= size of the median class

F= c.f of thr class of the class preceding the median class

Solution :

We have to find the median of the given distribution.

Let’s solve the problem :

First , we have to find c.f to compute the median :

We have ,

The cumulative frequency just greater than N/2 is 100 and the corresponding corresponding class is 700-800 . Therefore , 700-800 is the median class :

Thus , l = 700

h = 100

F = 68

f= 32

Therefore, Median of given distribution is 721.8

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☯ We have to find, Median of given distribution.

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Firstly we have to calculate , (where N = ) =

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So, The value of comulative frequency just greater than or equal to 75 is 100.

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