Question

Imena's math test scores are 83, 93, 78, 89, and 83. She has one more math test this semester. What score most she get on the test to have a median score of 85?

Answer 1

87 is the median because 83 and 87's average is 85.

Answer 2

Mean = (83 + 93 + 78 + 89 + 83 + x)/6
85 = (426 + x)/6

Multiply both sides by 6 to remove the denominator on the RHS of the equation
85 * 6 = [(426 + x)/6] * 6
510 = 426 + x
510 - 426 = x
84 = x

x = 84
She has to get a score of 84 to have a median score of 85.