chang has scored 24, 24, 25, and 18 points in his four basketball games so far. how many points does he need…
chang has scored 24, 24, 25, and 18 points in his four basketball games so far. how many points does he need to score in his next game so that his average (mean) is 23 points per game?
Answer
Explanation:
Step1: Calculate the total points of the first four games
$24 + 24+25 + 18=91$
Step2: Let the points in the fifth - game be $x$. Set up the mean formula
The mean of five - game scores is $\frac{91 + x}{5}=23$.
Step3: Solve the equation for $x$
Multiply both sides of the equation $\frac{91 + x}{5}=23$ by 5: $91+x = 23\times5=115$. Then subtract 91 from both sides: $x=115 - 91 = 24$.
Answer:
24