Question

You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will allow you to advance

Answer 1

At least 98 is needed in the 5th game

Explanation:

The missing parameters are:

`Game\ 1 = 95`

`Game\ 2 = 91`

`Game\ 3 = 77`

`Game\ 4 =89`

`Mean = 90` at least

Required

The score in game 5 to make you advance

Mean is calculated as:

`Mean = (\sum x)/(n)`

So, we have:

`Mean = (95 + 91 + 77 + 89 + Game\ 5)/(5)`

`Mean = (352 + Game\ 5)/(5)`

The mean must be at least 90.

So, we have:

`(352 + Game\ 5)/(5) \ge 90`

Multiply both sides by 5

`5 * (352 + Game\ 5)/(5) \ge 90 * 5`

`352 + Game\ 5 \ge 450`

Make Game 5 the subject

`Game\ 5 \ge450 - 352`

`Game\ 5 \ge 98`

At least 98 is needed in the 5th game