Question

Find the mean and median of the data 3.75,1.5,6.5,5.25,10,12

Answer 1

To find mean ➡

Given observations ➡ 3.75,1.5,6.5,5.25,10,12

Number of observations ➡ 6

$Mean = \frac{sum \: of \: observations}{number \: of \: observations} \\ \\ Mean = \frac{3.75 + 1.5 + 6.5 + 5.25 + 10 + 12}{6} \\ \\ Mean = \frac{39}{6} \\ \\ Mean = 6.5$

$\boxed{Mean = 6.5}$

To find median ➡

Given observations ➡ 3.75,1.5,6.5,5.25,10,12

Number of observations ➡ 6

Ascending order ➡ 1.5,3.75,5.25,6.5,10,12

$Median = avg \: of \: \frac{n}{2} \: and \: \frac{n + 1}{2} \\ \\ Median = \frac{6}{2} , \frac{6 + 1}{2} \\ \\ Median = avg \: of \: 3 \: and \: 4 \: th \: values \\ \\ Median = \frac{5.25 + 6.5}{2} \\ \\ Median = \frac{11.75}{2} \\ \\ Median = 5.875$

$\boxed{Median = 5.875}$