if the mean of 7,k,8,4,5 is k then what isthe value of k
Answers
Answered by
2
Step-by-step explanation:
Given :-
The mean of 7,k,8,4,5 is k.
To find:-
Find the value of k ?
Solution:-
Given observations are 7,k,8,4,5
Sum of the observations
= 7+k+8+4+5
= 24+k
Number of observations = 5
We know that
Mean = Sum of all observations/ Number of all observations
=> Mean = (24+k)/5
According to the given problem
Mean of the given observations = k
=> (24+k)/5 = k
=> 24+k = k×5
=> 24+k = 5k
=> 24 = 5k-k
=> 24 = 4k
=> 4k = 24
=> k = 24/4
=> k = 6
Therefore, k = 6
Answer:-
The value of k for the given problem is 6
Check:-
If k = 6 then the observations = 7,6,8,4,5
Mean = (7+6+8+4+5)/5
=> Mean = 30/5
=> Mean = 6
k = 6 is true for the above data
Verified the given relations in the given problem.
Used formulae:-
Mean = Sum of all observations/ Number of all observations
Similar questions