Question

find the median and mean of the data set below: 38, 45, 12, 27, 21, 43 answer attempt 1 out of 2 median = mean =

Explanation:

Step1: Sort the data set

$12, 21, 27, 38, 43, 45$

Step2: Calculate the median

Since there are 6 data - points (an even number of data - points), the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th numbers. Median=$\frac{27 + 38}{2}=\frac{65}{2}=32.5$

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 6$ and $x_{i}$ are the data - points. $\sum_{i=1}^{6}x_{i}=12 + 21+27 + 38+43+45=186$. Mean=$\frac{186}{6}=31$

Answer:

Median = $32.5$
Mean = $31$