1-92) calculate the mean of each data set below. can you find any shortcuts that allow you to find the mean…

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 part a

For the data set $6,10,6,10$, $n = 4$, and $\sum_{i=1}^{4}x_{i}=6 + 10+6 + 10=32$. Then $\bar{x}=\frac{32}{4}=8$.

Step3: Calculate mean for part b

For the data set $11,12,12,13,12$, $n = 5$, and $\sum_{i = 1}^{5}x_{i}=11 + 12+12+13+12=60$. Then $\bar{x}=\frac{60}{5}=12$.

Step4: Calculate mean for part c

For the data set $0,5,4,8,0,7$, $n = 6$, and $\sum_{i=1}^{6}x_{i}=0 + 5+4+8+0+7=24$. Then $\bar{x}=\frac{24}{6}=4$.

Answer:

a) 8 b) 12 c) 4