Question

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 (average) is $\text{Mean}=\frac{\text{Sum of data points}}{\text{Number of data points}}$. Given the mean of 4 games is 23 PPG, and the number of games $n = 4$. Using the formula $\text{Sum}= \text{Mean}\times n$, we have $\text{Sum}_1=23\times4 = 92$ points.

Step2: Calculate total points needed for 5 - game average of 25 PPG

For 5 games with a mean of 25 PPG, using the formula $\text{Sum}=\text{Mean}\times n$ again, where $n = 5$ and $\text{Mean}=25$. So $\text{Sum}_2=25\times5=125$ points.

Step3: Find points needed in the 5th game

Let $x$ be the points in the 5th game. We know that $\text{Sum}_1 + x=\text{Sum}_2$. Substituting the values from Step1 and Step2: $x=\text{Sum}_2-\text{Sum}_1$. So $x = 125 - 92=33$ points.

Answer:

Larry needs to score 33 points in the last game.