Question

question
find the median and mean of the data set below:
27, 46, 11, 12, 35
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Sort the data set

Sort \(27,46,11,12,35\) in ascending order: \(11,12,27,35,46\)

Step2: Find the median

For a data set with \(n = 5\) (odd number of elements), the median is the \(\frac{n + 1}{2}\) -th element. \(\frac{5+ 1}{2}=3\) -rd element. So the median is \(27\)

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Here \(n = 5\), \(x_1=11,x_2 = 12,x_3=27,x_4=35,x_5=46\). \(\sum_{i=1}^{5}x_{i}=11 + 12+27+35+46=131\). Mean \(\bar{x}=\frac{131}{5}=26.2\)

Answer:

Median \(=27\), Mean \(=26.2\)