Mean of n numbers X1, X2,--------Xn is m. If Xn is replaced by x the new mean is
To find the new mean when a number in a set is replaced with a new value, we can use the formula:
New mean = (Sum of all numbers - old number + new number) / Total number of numbers
In this case, we know the mean of n numbers X1, X2, ..., Xn is m. This means the sum of all these numbers is n * m.
If we replace Xn with a new value x, the sum of all the numbers would then be (n * m) - Xn + x.
The new mean can be calculated as:
New mean = [(n * m) - Xn + x] / n
This formula represents the average of the updated set of numbers.