Question

question
find the median and mean of the data set below:
48, 26, 6, 26
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Sort the data set

Sort \(48, 26, 6, 26\) in ascending order: \(6, 26, 26, 48\)

Step2: Calculate the median

Since there are \(n = 4\) (even number of data points), the median is the average of the \(\frac{n}{2}\) -th and \((\frac{n}{2}+ 1)\) -th values.
\(\frac{26 + 26}{2}=26\)

Step3: Calculate the mean

The mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(x_{1}=6,x_{2}=26,x_{3}=26,x_{4}=48\) and \(n = 4\)
\(\bar{x}=\frac{6 + 26+26 + 48}{4}=\frac{106}{4}=26.5\)

Answer:

Median \(=26\), Mean \(=26.5\)