question\nfind the median and mean of the data set below:\n44, 8, 30, 40, 36\nanswer attempt 1 out of…

Explanation:

Step1: Sort the data set

$8, 30, 36, 40, 44$

Step2: Find the median

Since the number of data - points $n = 5$ (odd), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{5+1}{2}=3$ - rd value. So the median is $36$.

Step3: 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. $\sum_{i=1}^{5}x_{i}=44 + 8+30 + 40+36=158$, and $n = 5$. So the mean $\bar{x}=\frac{158}{5}=31.6$

Answer:

Median = $36$ Mean = $31.6$