Question

Question #fcaa7

Answer 1

96%

Explanation:

In order to calculate the mean (which is usually what is meant when they ask you to calculate an average) of a set of `n` terms `(x_1, x_2, x_3...x_n)`, you add all of the terms together, and then divide by n. The mathematical notation for this is:

Average = `sum_(i=1)^nx_i/n = 1/n sum_(i=1)^nx_i = 1/n (x_1+x_2+...+x_n)`

There are two terms here, one of which is 88%. Thus here, we have...

`x_1=88, x_2=x, avg = 92% = (88%+x)/2 -> 184 = 88+x -> x = 96%`