Question

find the median and mean of the data set below: 0, 41, 7, 38 answer median = mean =

Explanation:

Step1: Sort the data set

Sort the data set \(0,41,7,38\) in ascending order: \(0,7,38,41\)

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.
\(\frac{7 + 38}{2}=\frac{45}{2}=22.5\)

Step3: Calculate the mean

The mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(x_{1}=0,x_{2}=7,x_{3}=38,x_{4}=41\) and \(n = 4\)
\(\bar{x}=\frac{0 + 7+38 + 41}{4}=\frac{86}{4}=21.5\)

Answer:

Median \(=22.5\), Mean \(=21.5\)