Question

Find the median of: 1, 3, 4, 6, 2, 4, 5, 6, 2, 3, 1, 4, 0, 4, 4, 4, 8, 9, 7, 4

Answer 1

4

Explanation:

1, 3, 4, 6, 2, 4, 5, 6, 2, 3, 1, 4, 0, 4, 4, 4, 8, 9, 7, 4

Arrange the numbers from smallest to largest

0,1, 1,2,2, 3,3, 4, 4,4,4,4,4 , 4, 5, 6, 6, 7, 8, 9,

There are 20 numbers

The middle number is between 10 and 11

0,1, 1,2,2, 3,3, 4, 4,4 ,4,4,4 , 4, 5, 6, 6, 7, 8, 9,

The median is 4

Answer 2

Solution,

Arranging the data in ascending order:

0,1,1,2,2,3,3,4,4,4,4,4,4,4,5,6,6,7,8,9

N(total number of items)= 20

Now,

Median:

`((n + 1)/(2)) ) ^(th \: item) \\ = ((20 + 1)/(2) ) ^(th \: item) \\ = (21)/(2) \\ = 10.5 \: th \: \: item`

Again,

Median:

`(10 \: th \: item + 11 \: th \: item)/(2) \\ = (4 + 4)/(2) \\ = (8)/(2) \\ = 4`