Question

1/4, 1/4, 1/4, 1/8, 1/8, 7/12
What is the mean of the data set?

Answer 1

A. 19/72
B. 19/60
C. 1/20
D. 1 7/12

Answer 2

I know that it is not D

Answer 3

so u want mean

Answer 4

First, How do you get a Mean?

Answer 5

you add all the numbers and then divide it by the number of numbers

Answer 6

\[mean =\frac{ \sum x }{ number of observations }\]

Answer 7

Yes. You have 6 fractions here. Add these 6 fractions together, after first having obtained the LCD. Then divide this sum by 6.

Answer 8

\[1/4+1/4+1/4+1/8+1/8+7/12+9/12 /6=19/72\]

Answer 9

What do you think the LCD is?

Answer 10

Can you divide 8 into 12 with no remainder?

Answer 11

no

Answer 12

Then 12 can't be the LCD. Try again.

Answer 13

Can you divide 12 into 4 with no remainder?

Answer 14

You need to find the smallest number divisible (without remainder) by 4, 8 and 12.

Answer 15

OH I see now

Answer 16

So, the LCD is: ?

Can you divide 2 by 12 with no remainder?

Answer 17

Again, the 3 separate denoms. are 4, 8 and 12.

What is the LCD?

Note that 4=2^2, and that
8=2^3, and that
12=4*3=3*2^2

Answer 18

what is LCD?

Answer 19

What's the highest power of 2? Answer: 2^3 = 8
What's the highest power of 3? Answer: 3^1=3

What's 8*3?

Answer 20

8*3=24

Answer 21

Does 12 divide into 24 with no remainder?
Does 8 divide into 24 with no rem?
Does 3 div. into 24 with no rem?

Answer 22

yes

Answer 23

Great! 24 is your LCD.

Convert 1/4 to a fraction with denominator 24, please. 1/4 = ? /24

Answer 24

1/4= 4*6=24 and 1*6=6 so 6/24

Answer 25

Cool. Convert 1/8 and 7/12 into fractions with denoms. 24.

Answer 26

okay 1/8=3/24 and 7/12=14/24

Answer 27

Cool.

Answer 28

Now we have to add these 6 fractions together. 1/4 shows up 3 times, 6/24 (same thing) shows up 3 times. What is 3 times 6/24?

Answer 29

18/24?

Answer 30

perfect.

Hold that 18/24. Next, find 2 times 1/8, which is the same as 2 times 3/24.

Answer 31

6/24

Answer 32

Great. Now add together your 3 sums. 18/24 plus 6/24 plus 14/24 = ?

Answer 33

18+6+14=38 so 38/12

Answer 34

But our LCD is 24, not 12. What happened there?

Answer 35

oh right 38/24

Answer 36

That's it. That's the sum of the given fractions. Any questions?

Answer 37

no

Answer 38

wait what about dividing it?

Answer 39

First compare y our results to the four given answer choices.

Answer 40

I think that it a

Answer 41

Is your 38/24 the same as answer A?

Don't forget you can reduce 38/24 if necessary.

Answer 42

38/2=19 and 24/2=12 and well I thought that A sounded more correct then B since it was going to be either A or B

Answer 43

remember, we were aiming to find the MEAN.
You've summed up the 6 numbers.
Have you divided this sum by 6?

Answer 44

no

Answer 45

Do that, please. That's how we find the mean of these 6 fractions.

Answer 46

38/24 divided by 6 is what?
Note that your answer can and should be reduced.