Question

consider the data set 6 1 4 7 8 1 find the average (mean): find the median:

Explanation:

Step1: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $x_{i}$ are the individual data - points. Here, $n = 6$, and the data set is $\{6,1,4,7,8,1\}$. So, $\sum_{i=1}^{6}x_{i}=6 + 1+4 + 7+8 + 1=27$. Then $\bar{x}=\frac{27}{6}=4.5$.

Step2: Calculate the median

First, order the data set: $\{1,1,4,6,7,8\}$. Since $n = 6$ (an even number), the median is the average of the two middle - values. The two middle - values are the 3rd and 4th ordered values. So, median $=\frac{4 + 6}{2}=5$.

Answer:

Find the average (mean): $4.5$
Find the median: $5$