Question

Find the median of the following data set.
1 1/4,5/8,3/5 ,1/2 , 1 1/2, 1 3/4

Answer 1

answers
5/6
7/8
15/16

Answer 2

Do you know the definition of the word median?

Answer 3

middle

Answer 4

Yes. So the key is to write all of these as fractions, with the same denominator.

Answer 5

Then just find the one that's in the middle.

Answer 6

ok how do i do that

Answer 7

Let's start with the very first number:

1 1/4

that means 1 plus 1/4

What is that as a fraction?

Answer 8

5/4

Answer 9

Good. :) The only other mixed number there is 1 1/2
(That's 1 plus 1/2)

Answer 10

or 3/2

Answer 11

and the last one which would be 7/4

Answer 12

Yes.

So now you have a bunch of fractions.


5/4 ,5/8 , 3/5 , 1/2 , 3/2 ,

oh wait ... 1 3/4

Answer 13

7/4

Answer 14

Yes, so now the set it this...

5/4
5/8
3/5
1/2
3/2
7/4

Check out those denominators... 2, 4, 8, 5

What is the lowest common multiple of 2,4,8, and 5?

Answer 15

1

Answer 16

You found the greatest common factor... :)

Answer 17

ok so whats next then

Answer 18

You have to give all the fractions a common denominator.
That is done by finding the lowest common multiple.

For example, how would you give 1/2 and 1/3 the same denominator?

Answer 19

ok

Answer 20

how do i do this

Answer 21

Not that
1/2 = 3/6
and
1/3 = 2/6

The key is finding the common denominator 6.

If you know how to find the least common multiple, then it's easy. 3 * 2 = 6
So the least common multiple is 6.

for 2,4,8, and 5

The least common multiple is NOT 2*4*8*5...

It is simply 8*5 = 40

That's because 8 is already divisible by 2 and 4.

Answer 22

ok so the greatest common multiple is 40

Answer 23

so then what do id with 40

Answer 24

is this the common denominator of all of them

Answer 25

Yes. 40 needs to be the common denominator.

Answer 26

ok

Answer 27

so then i add all the numerators

Answer 28

No. You're looking for the middle number.

When you have each fraction as (something) / 40 , line them up from smallest to biggest.

The one in the middle is your answer. (you may have to simplify).

Answer 29

ok so the numerators stay the same

Answer 30

No, they will change. Just as 1/2 changed to 3/6 both numerator and denominator of each fraction will change.

Answer 31

ok

Answer 32

So 1 1/4 = 5 / 4

How do you write 5/4 as a fraction with denominator 40?

Answer 33

8/40

Answer 34

wait

Answer 35

15/40

Answer 36

or 50/40

Answer 37

right

Answer 38

@mathteacher1729

Answer 39

i get 20/40s then

Answer 40

thats alot of work for something so simple

Answer 41

sort the numbers from low to high

Answer 42

1 1/4 , 5/8 , 3/5 , 1/2 , 1 1/2, 1 3/4

1/2, 3/5 , 5/8 , 1 1/4 , 1 1/2, 1 3/4
^
this is the middle

take the average of the middle "2" data points to get there

Answer 43

ok thanks