Question

Dante has scored 30, 18, and 28 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 26 points per game

Answer 1

He needs to score 28 points.

Explanation:

`1^(st)\,\,score: 30\,\,points;\\\\2^(nd)\,\,score: 18\,\,points;\\\\3^(rd)\,\,score: 28\,\,points;\\\\4^(th)\,\,score: \,\,?`

Let's calculate Dante's 4th score, given that the average is 26 points:

`(S1 + S2 + S3 + S4)/(4) = 26\\\\(30 + 18 + 28 + S4)/(4) = 26\\\\76 + S4 = 104\\\\S4 = 28\,\,points.`