writing about finding the missing value\nin 4 games, larry averaged 23 ppg (points per game). how many…
writing about finding the missing value\nin 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.
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