Find the value of x of median 11, 13, 17, 19, x, 22, 23, 23, 31 is 20
Answers
Answer:First , of all we need to know , what a certain set of observations is . The observations given above , are called information . This is because they are mot ordered in any sequence , either ascending or descending . Whenever , this set of information is ordered in either ascending or descending order , then it is called .
Now next up , you need to know what mode and median are . So following are the definitions of mean and median :-
Mode is simply , the highest occurring observation in a whole set of data .
For example :- 1 , 5 , 3 , 5 , 2 , 5 .
In this set of information , the highest occurring observation is 5 . So , the mode of the information would be 5 .
N.B - Mode can be found without arranging the observations as well , but arranging the set of information really helps in improving accuracy of our result .
Median is simply the middle observation of a set of arranged information either in ascending or in descending order . Median can be found in two ways :-
If number of observations , n is odd , then median = observation .
For example :- 11 , 21 , 13 , 12 , 15 , 16 , 17 , 19 , 18 .
The arranged form would be :
11 , 12 , 13 , 15 , 16 , 17 , 18 , 19 , 21
Here , Number of observations = 9
Therefore , Median = observation .
= 5 th observation .
The median ultimately = 16 .
If number of observations n , is even ,
then median =
For example :- 25 , 34 , 31 , 23 , 22 , 26 , 35 , 28 , 20 , 32
The arranged form would be :
20 , 22 , 23 , 25 , 26 , 28 , 31 , 32 , 34 , 35
Here , number of observations = 10
Therefore ,
And ,
Therefore , median =
So , now that all the related topics are clear , we can move towards the question .
The arranged form would be :
10 , 11 , 11 , 11 , 12 , 13 , 17 , 18 , 19 , 21 , 23
Number of observations = 11
Therefore , Median =
Since , highest occurring observation is 11 , ( it occurred 3 times )
Therefore , Mode = 11
Answer:
11 is x