Question

writing about finding the missing value
in 4 games, larry averaged 23 ppg (points per game). how many points does he need to score in the last game to have an average of 25 ppg? explain how to use the mean and the data given to find the answer.

Explanation:

Step1: Calculate total points in 4 games

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Given $n = 4$ and $\bar{x}=23$, the total points in 4 games is $4\times23=92$ points.

Step2: Calculate total points needed in 5 games

To have an average of 25 PPG in 5 games, using the mean formula with $n = 5$ and $\bar{x}=25$, the total points needed in 5 games is $5\times25 = 125$ points.

Step3: Find points needed in the 5th game

Subtract the total points of 4 - game from the total points of 5 - game. Let $x$ be the points in the 5th game. Then $x=125 - 92$. So $x = 33$ points.

Answer:

33