Question

find the median and mean of the data set below:
5, 23, 11, 25
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Sort the data set

Sort \(5, 23, 11, 25\) in ascending order: \(5, 11, 23, 25\)

Step2: Calculate the median

Since there are \(n = 4\) data points (even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values. \(\frac{4}{2}=2\) and \(\frac{4}{2}+1 = 3\). The second value is \(11\), the third value is \(23\). Median\(=\frac{11 + 23}{2}=\frac{34}{2}=17\)

Step3: Calculate the mean

Mean\(=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(x_1 = 5,x_2=11,x_3 = 23,x_4=25\) and \(n = 4\). \(\sum_{i=1}^{4}x_{i}=5 + 11+23 + 25=64\). Mean\(=\frac{64}{4}=16\)

Answer:

Median \(=17\), Mean \(=16\)