Question

question
find the median and mean of the data set below:
0, 41, 7, 38
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Arrange data in ascending order

$0,7,38,41$

Step2: Calculate the median

Since there are 4 data - points (an even number of data - points), the median is the average of the two middle numbers. The two middle numbers are 7 and 38. Median=$\frac{7 + 38}{2}=\frac{45}{2}=22.5$

Step3: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 4$ and $x_1=0,x_2 = 7,x_3=38,x_4 = 41$. Mean=$\frac{0 + 7+38 + 41}{4}=\frac{86}{4}=21.5$

Answer:

Median = $22.5$
Mean = $21.5$