Question

question find the median and mean of the data set below: 11, 48, 6, 25, 31 answer median = mean =

Explanation:

Step1: Arrange data in ascending order

$6, 11, 25, 31, 48$

Step2: Find the median

Since there are 5 (odd number) data - points, the median is the middle - value. So, the median is 25.

Step3: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 5$, $x_1=6$, $x_2 = 11$, $x_3=25$, $x_4 = 31$, $x_5=48$. Then $\bar{x}=\frac{6 + 11+25+31+48}{5}=\frac{121}{5}=24.2$

Answer:

Median = 25
Mean = 24.2