Question

The number of points Marcus scored in different rounds of a computer board game is shown

235 342 328 352 352 306 317

6. What score does Marcus need in his next
game to have a mean of exactly 325?

Answer 1

It’s 367

Explanation:

Answer 2

583

Explanation:

The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:

`((236)+(342)+(328)+(352)+(352)+(306)+(317)+(x))/(8)=325\\`

Simplify,

`(2233+x)/(8)=352`

Inverse operations,

`2233+x=2816\\\\x = 583`