. If the arithmetic mean of X , X+3 , X+6 , X+9 and X+12 is 10, then find the value of X
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Answer:
Step-1:- X+X+3+X+6+X+9+X+12 =10
5
In first step we have five observations
According to arithmetic mean of ungrouped data,
Sum of observations
No. of observations =mean
Step-2:- Solve the equation of step 1
5X+30 = 10×5
This is fine by cross multiplication and addition
Step-3:-
5X+30 = 50
=> 5X = 50-30
=> 5X = 20
=> X = 20
5
=> X = 4 Answer
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