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 of a data - set $x_1,x_2,\cdots,x_n$ is $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$.

Step2: Analyze data - set a

In data - set a: $6,10,6,10$. The sum of the numbers is $(6 + 10)+(6 + 10)=32$, and there are $n = 4$ numbers. So the mean is $\frac{32}{4}=8$.

Step3: Analyze data - set b

In data - set b: $11,12,12,13,12$. We can think of it as $11+(12\times3)+13$. $11 + 13=24$ and $12\times3 = 36$. The sum is $24 + 36=60$, and $n = 5$. So the mean is $\frac{60}{5}=12$.

Step4: Analyze data - set c

In data - set c: $0,5,4,8,0,7$. The sum is $0+5 + 4+8+0+7=24$, and $n = 6$. So the mean is $\frac{24}{6}=4$.

Answer:

a. Mean is 8 b. Mean is 12 c. Mean is 4