Let the mean of a set of seven numbers be 36. If the mean of the first six numbers is 30, what is the seventh number?
72
6
42
13
Answers
Answered by
58
Answer:
72
Step-by-step explanation:
Given-
Mean of set of seven numbers = 36
Let the numbers be- x1 ,x2, x3, x4, x5, x6, x7
Mean= Sum of Observation / Number of Observation
:. Mean= = 36
x1+x2+x3+x4+x5+x6+x7= 36*7
x1+x2+x3+x4+x5+x6+x7= 252( number 1)
If one of the number is discarded , then the mean of the remaining numbers is 30.
Let the discarded number be x7 , then
Mean= = 30
x1+x2+x3+x4+x5+x6 = 30*6
x1+x2+x3+x4+x5+x6 = 180(number 2)
On Subtracting Number 2 from Number 1 , we get
x7= 252- 180
x7 = 72
Hope my answer helped you.........
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