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

Answer:

At least 98 is needed in the 5th game

Step-by-step 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:

$Mean = \frac{\sum x}{n}$

So, we have:

$Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}$

$Mean = \frac{352 + Game\ 5}{5}$

The mean must be at least 90.

So, we have:

$\frac{352 + Game\ 5}{5} \ge 90$

Multiply both sides by 5

$5 * \frac{352 + Game\ 5}{5} \ge 90 * 5$

$352 + Game\ 5 \ge 450$

Make Game 5 the subject

$Game\ 5 \ge450 - 352$

$Game\ 5 \ge 98$

At least 98 is needed in the 5th game