The average of 10 observations was 30. If two observations 45 and 55 are removed. What is the average of remaining observations
Answers
Answer:
x/10=30
x=300
(x-(55+45)) /8 = (300-100) /8 =200/8=25
answer is 25
Step-by-step explanation:
Given :-
The average of 10 observations was 30. If two observations 45 and 55 are removed.
To find :-
What is the average of remaining observations ?
Solution :-
Given that
The average of 10 observations = 30
We know that
Average = Sum of all observations/Number of all observations
=> 30 = Sum of all observations / 10
=> Sum of all observations = 30×10
=> Sum of all observations = 300
Removed observations = 45 and 55
The sum of remaining observations
=> 300 - (45+55)
=> 300-100
=> 200
Remaining observations = 10-2 = 8
The average of remaining observations
= Sum of remaining observations/ Number of remaining observations
=> Average = 200/8
=> Average = 25
Answer:-
The average of remaining observations is 25
Used formulae :-
→ Average = Sum of all observations/Number of all observations