the mean of a list of seven numbers is 45. if i add two numbers to this list the mean of he list becomes 37 what is the mean of the two numbers that i added to the list
Sum of the seven number = 7(45) = 315
after adding 2 more the sum is now 9(37) or 333
so the sum of the two numbers added must have been 18
or their average (mean) must have been 18/2, which is 9
To find the mean of the two numbers you added to the list, we need to consider the change in the mean value.
The initial mean of the list of seven numbers is 45. This means that the sum of the seven numbers is 7 * 45 = 315.
When you add two numbers to the list, the mean becomes 37. This means that the sum of the nine numbers is now 9 * 37 = 333.
To find the sum of the two new numbers, we can subtract the sum of the original seven numbers from the sum of the nine numbers:
Sum of the two new numbers = Sum of the nine numbers - Sum of the seven original numbers
= 333 - 315
= 18
Since there are two new numbers, to find the mean of the two numbers, we divide the sum by 2:
Mean of the two numbers = Sum of the two new numbers / 2
= 18 / 2
= 9
Therefore, the mean of the two numbers you added to the list is 9.