Math, asked by cchinna3993, 10 months ago

find the median of the following data x=2,4,6,8,,10,12,16,18F=2,3,5,7,11,6,9,4​

Answers

Answered by Alcaa
1

Median of given data is 10.

Step-by-step explanation:

We are given the following frequency distribution data below;

    X                    Frequency (f)                 Cumulative Frequency (cf)

    2                            2                                                  2

    4                            3                                                  5

    6                            5                                                 10

    8                            7                                                  17

   10                           11                                                 28

   12                            6                                                34

   16                            9                                                43

   18                           4                                               47        

                             \sum f = 47    

Now, for calculating median for any discrete frequency data, first we will calculate;   \frac{N}{2}  where  N = \sum f

  So,  \frac{N}{2}  =  \frac{47}{2}  = 23.5

Now, in the cf table, we will look for the value which is equal or just greater than 23.5. It comes out to be 28 in the cf table.

So, the value of X in the data corresponding to the value of 28 from the cf table is X = 10

Therefore, the median of given data is 10.

Learn more about median questions;

https://brainly.in/question/15957583

https://brainly.in/question/16572727

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