the mean of 5 numbers is 16 if one of the number is is excluded the mean becomes 12.5 find out the the excluded number
Answers
The excluded number would be 30.
Explanation:
It has been given that the mean of 5 numbers is 16.
Hence, 16*5 = 80
On excluding an observation, the mean of the remaining 4 observations is 12.5
Hence, 12.5*4 = 50
Therefore the sum of the remaining 4 observations = total of 5 observations - the total of 4 observations
So, 80-50 = 30
Answer:
202.5
Step-by-step explanation:
Mean= sum of all digits/total no. of all digits
let the numbers be x.
x+x+x+x+x/5x=16/1
x+x+x+x+x×1=16×5x
5x=80x
x=80/5
so this means that the sum of these numbers is 80 (as 5 is the total no. of digits)
so, if we subtract one of the numbers then we get 12.5 as the mean.
therefore,
80-x/4x=12.5
-x/4x= 12.5-80
-1/3x= -67.5
x= -67.5×3/-1
x= 202.5
Thus the excluded no. is 202.5
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