section 4.5 homework\nscore: 0/9 answered: 0/9\nquestion 1\nfind the measures of the central tendency of the…

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 6$, and $\sum_{i=1}^{6}x_{i}=7 + 12+8 + 6+8 + 9=50$. So, $\bar{x}=\frac{50}{6}\approx8.33$.

Step2: Calculate the median

First, arrange the data in ascending order: $6,7,8,8,9,12$. Since $n = 6$ (an even number), the median $M=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}$. Here, $\frac{n}{2}=3$ and $\frac{n}{2}+1 = 4$, so $M=\frac{8 + 8}{2}=8.00$.

Answer:

Mean: $8.33$ Median: $8.00$