Find the median and mean of the data set below: 21 , 40 , 48 , 26 , 32 , 31

Question

asked Jan 13, 2024 198k views

2 Answers

Clorichel · Answer 1 · 2024-01-16T23:18:38+0000

What does the problem asks for:

--> mean and median

Let's calculate the mean:

$\text{Mean}=\frac{\text{sum of all the numbers}}{\text{number of numbers given}}$

--> the sum of all the numbers = 21 + 40 + 48 + 26+ 32 + 31 = 198

--> number of numbers given: 6

==> let's calculate

$\text{Mean}=(198)/(6) =33$

Let's calculate the median

--> Median definition: middle number in an ordered sequence

==> let's order the sequence: 21, 26, 31, 32, 40, 48

--> since there are an even number of numbers, there isn't an exact

middle number

--> thus, we must find the mean of the two numbers closest to the

middle

$\text{Median} = (31+32)/(2) =(63)/(2) =31.5$

Answer: 31.5