Let the mean of a set of seven numbers be 36. If the mean of the first

1.	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?7264213
Answer» 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= $\frac{x1+x2+x3+x4+x5+x6+x7}{7}$ = 36 x1+x2+x3+x4+x5+x6+x7= 367 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= $\frac{x1+x2+x3+x4+x5+x6}{6}$ = 30 x1+x2+x3+x4+x5+x6 = 306 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.........

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?7264213

Answer»

Answer:

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= $\frac{x1+x2+x3+x4+x5+x6+x7}{7}$ = 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= $\frac{x1+x2+x3+x4+x5+x6}{6}$ = 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.........