the mean of three numbers is 12. if two of the numbers are 9 and 14, find the third numbe
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1
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Correct option is
A
81
Let the highest number be y and the middle number be x.
We know that,
Mean=
number of observations
sum of observations
∴ Mean=
3
x+y+z
Given that, Mean =40 and the lowest number =19.
∴40=
3
x+y+19
⇒x+y+19=120
⇒ x+y=120−19=101
⇒ y=101−x
Therefore, for y to be maximum, x should be minimum
Also x>19 [As x is not the smallest]
⇒x=20
Therefore, maximum value y=101−20=81
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