Question

which of the following data sets has a mean of 8? 10, 6, 8, 7, 8, 9, 8 7, 7, 9, 8, 12, 9, 8

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are data - points and $n$ is the number of data - points.

Step2: Calculate mean for first set

For the set $10,6,8,7,8,9,8$, $n = 7$, and $\sum_{i=1}^{7}x_{i}=10 + 6+8+7+8+9+8=56$. Then $\bar{x}=\frac{56}{7}=8$.

Step3: Calculate mean for second set

For the set $7,7,9,8,12,9,8$, $n = 7$, and $\sum_{i = 1}^{7}x_{i}=7+7+9+8+12+9+8=50$. Then $\bar{x}=\frac{50}{7}\approx7.14$.

Answer:

The set $10,6,8,7,8,9,8$