Question

question
find the median and mean of the data set below:
21, 8, 9, 48
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Arrange data in ascending order

$8,9,21,48$

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 values. The two middle values are 9 and 21. So, median=$\frac{9 + 21}{2}=\frac{30}{2}=15$.

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 4$, $x_1=8$, $x_2=9$, $x_3=21$, $x_4=48$. Then $\bar{x}=\frac{8 + 9+21 + 48}{4}=\frac{86}{4}=21.5$.

Answer:

Median = 15
Mean = 21.5