Question

What is the median of the data set given below? 19, 22, 46, 24, 37, 16, 19, 33

Answer 1

u have to put tje numbers in order...
16,19,19,22,24,33,37,46....the median is the middle number. If there is an even number of numbers, like this one, there will be 2 middle numbers. Find those 2 middle numbers, divide them by 2, and that is ur median.

start from the ends and count inwards till u come to the 2 middle numbers...
(22 + 24) / 2 = 46/2 = 23

** now if there would have been an odd number of numbers, u would just have 1 middle number, and that number would be the median.

Answer 2

To find the median, first arrange the data in either ascending or descending order;

16,19,19, 22, 24, 33, 37, 46

If the total amount of data [let's take it as n] is odd, then the median is data on [$\frac{n}{2}$].

But here the total amount of data is even [n=8], so the median is the average of the data on [$\frac{n}{2}$] and [$\frac{n}{2} +1$].

So the median is

$\frac{22+24}{2} = \frac{46}{2} = 23$