Question

1-92) calculate the mean of each data set below. can you find any shortcuts that allow you to find the mean without having to do much calculation? homework help
a. 6, 10, 6, 10
b. 11, 12, 12, 13, 12
c. 0, 5, 4, 8, 0, 7

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