Question

Raina has scored 32, 20, 26, and 24 points in her four basketball games so far. How many points does she need to score in her next game so that her average(mean) is 24 points per game

Answer 1

Given the number of points Raina scored in her four basketball games:

`32,20,26,24`

Let be "x" the number of points Raina needs to score in her next game so that her average is 24 points per game.

By definition, the Mean (average) can be calculated by dividing the sum of the values by the total number of values. Therefore, you can set up the following equation:

`(32+20+26+24+x)/(5)=24`

Then, when you solve for "x", you get:

`\begin{gathered} (102+x)/(5)=24 \\ \\ 102+x=(24)(5) \\ \\ x=120-102 \\ \\ x=18 \end{gathered}`

Hence, the answer is:

`18\text{ points}`