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Answer:
Step-by-step explanation:
current mean=9
if each observation is increased by 3 , then
accrding to theorem : the mean will be added with that number
=9+3=12
so the new mean is 12
hope it helps
Nikki57:
it will be 12?
Answered by
1
Hey!
______________
Observations is 10
Mean is 9
We know,
Observations be (x1 , x2 , x3 ... x10)
For sum of 10 observations we have mean 9, using the formula,
Mean = x / number of observations
Sum of observations = Mean × Number of observations
Sum = 9 × 10
Sum of observation = 90
So, when it is increased by 3 then,
[ Note : In That " Ex1 " , " E " is actually the summation sign ]
Sum of observations Ex1 =
(x1 + 3 , x2 + 3 , x3 + 3 ... x10 + 3) × 10
= [ (x1 + x2 + x3 ... x10) + 3 ] × 10
= (9 + 3 ) × 10
= 12 × 10
= 120
So,
Mean = Ex1 / no. of new observations
Mean = 120 / 10
Mean = 12
___________________
Hope it helps...!!!
______________
Observations is 10
Mean is 9
We know,
Observations be (x1 , x2 , x3 ... x10)
For sum of 10 observations we have mean 9, using the formula,
Mean = x / number of observations
Sum of observations = Mean × Number of observations
Sum = 9 × 10
Sum of observation = 90
So, when it is increased by 3 then,
[ Note : In That " Ex1 " , " E " is actually the summation sign ]
Sum of observations Ex1 =
(x1 + 3 , x2 + 3 , x3 + 3 ... x10 + 3) × 10
= [ (x1 + x2 + x3 ... x10) + 3 ] × 10
= (9 + 3 ) × 10
= 12 × 10
= 120
So,
Mean = Ex1 / no. of new observations
Mean = 120 / 10
Mean = 12
___________________
Hope it helps...!!!
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