question\nfind the median and mean of the data set below:\n21, 40, 48, 26, 32, 31\nanswer attempt 1 out of…

Explanation:

Step1: Sort the data set

$21, 26, 31, 32, 40, 48$

Step2: Calculate the median

Since there are 6 data - points (an even number), the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th numbers. Median=$\frac{31 + 32}{2}=\frac{63}{2}=31.5$

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 6$ and $x_{1}=21,x_{2}=26,x_{3}=31,x_{4}=32,x_{5}=40,x_{6}=48$. $\sum_{i = 1}^{6}x_{i}=21 + 26+31+32+40+48 = 198$. Mean=$\frac{198}{6}=33$

Answer:

Median = $31.5$ Mean = $33$