answer me please fast
Answers
Answer:
14.66
Step-by-step explanation:
Given---> Mean of the observations , x , x+3 , x+5, x+7, x+10 is 9.
To find---> Mean of last three observations.
Solution---> We know that
Mean = Sum of all observations / number of observation
ATQ, mean of x , ( x + 3 ) , ( x + 5 ) ,
( x +7 ) , ( x + 10 ) is 9
Mean = x+(x+3)+(x+5)+(x+7)+(x+10) / 5
=> 9 = (x+x+x+x+x) + (3+5+7+10) / 5
=> 9 = ( 5x + 25 ) / 5
=> 9 × 5 = 5x + 25
=> 45 = 5x + 25
=> 45 - 25 = 5x
=> 20 = 5x
=> x = 20 / 5
=> x = 4
Now we find the mean of last three observations
Mean of last three observations
= ( x + 5 ) + ( x + 7 ) + ( x + 10 ) / 3
= ( x + x + x ) + ( 5 + 7 + 10 ) / 3
= 3x + 22 / 3
Putting x = 4 in it , we get,
= 3 ( 4 ) + 22 / 3
= ( 12 + 22 ) / 3
= 44 / 3 = 14.66
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