Question

section 4.5 homework
score: 0/9 answered: 0/9
question 1
find the measures of the central tendency of the data: (round the answer to 2 decimal places)
7 12 8 6 8 9
mean:
median:

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: $8.00$