the following data points represent the number of points scored last basketball game by each player on the…
the following data points represent the number of points scored last basketball game by each player on the dragons basketball team. 5,8,11,7,? if the mean of the data set is 8 points, find the missing number of points. points
Answer
Explanation:
Step1: Recall the mean formula
The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $\sum_{i = 1}^{n}x_{i}$ is the sum of the data - points. Here, $n = 5$ and $\bar{x}=8$. So the sum of all 5 data - points should be $n\times\bar{x}=5\times8 = 40$.
Step2: Calculate the sum of the known data - points
The sum of the known data - points $5 + 8+11 + 7=31$.
Step3: Find the missing data - point
Let the missing data - point be $x$. Then $31+x = 40$. Solving for $x$, we get $x=40 - 31=9$.
Answer:
9