The value of x that will make the mean of 9, 16 and x to have the same mean as the mean of 26 and 12 is 32.
Mean is also known as the average of a set of numbers. It is the sum of a set of numbers divided by the total numbers.
Mean = sum of numbers / total numbers
Mean of 26 and 12
(26 + 12) / 2
= 38 / 2 = 19
Mean of 9, 16 and x must equal 19. This can be represented with this equation:
(9 + 16 + x) / 3 = 19
In order to determine the value of x, multiply both sides of the equation by 3
(9 + 16 + x) = 19 x 3
(9 + 16 + x) = 57
Combine similar terms
x = 57 - 9 - 16
x = 32
A similar question was answered here: https://brainly.com/question/21154553?referrer=searchResults
