- anonymous

A cereal factory has three machines for dispensing cereal into bags. A test is done in which 8 bags are filled by each machine and the bags are weighed.The results in grams:Machine 1: 309, 311.5, 313, 310, 308, 314, 312, 310.5
Machine 2: 310, 309, 314, 311, 309, 314.5, 312.5, 310
Machine 3: 309, 310.5, 313.5, 315.5, 310, 311, 312, 309.5
Which statement is true about the mean output of the three machines?Answer:
a. Machine 1 has the highest
b. Machine 2 has the highest
c. Machine 3 has the highest
d. All three machines have the same mean
e. Two machines share the highest

- schrodinger

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- anonymous

do you know what is mean output?

- anonymous

no srry

- anonymous

Ok... a mean output is the average output.. Do you know how to find the averages?

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## More answers

- anonymous

no i forget

- anonymous

ok... averege is the = total sum divided by total number
consider in your exam you have 2 papers... in one paper you got 40 out of 50 and in othr paper you got 42 out of 50... then using the concept of avrages can you just tell me what is your average mark?

- anonymous

45.5

- anonymous

..... can you just tell me what steps you have done?

- anonymous

i added them all up and divided by how many numbers was there which was 4

- anonymous

Your method is correct.. but answer need correction
here only we have two papers..then how the total number is 4?

- anonymous

or 91 is the answer

- anonymous

or is it 41

- anonymous

can you say how you got 91 and 41 ?

- anonymous

cause the 91 i got by adding the 40 and the 50 and the 42 and the 50 and then dividing it by 2 and i got 91 then i just added the 40 and 42 and divided it by 2

- anonymous

what you think which is more accurate....
first case you added 4 numbers (which makes total number is 4)
second case you added 2 numbers (which makes total number 2)

- anonymous

the second one

- anonymous

but can we go ahead and get to my question so i can get this done plz

- anonymous

sure.. now how many bags are there?

- anonymous

8 bags

- anonymous

so that is what your total numbr is.. now what you need to do to find the mean output?

- anonymous

how do you do that

- anonymous

remember mean output is the average output..... you need to find the avrage output of each machine.... you have the total number of bags that each machine process and you know each bages weight..now you need to find the average of each machines output separatly and compare the results to obtain answer..any clue... think twice?:)

- anonymous

ok... what is the machine 1's average output

- anonymous

310.7

- anonymous

how you got it?

- anonymous

i added up all the numbers in machine 1 and then i got 2487 then i divided it by 8 and got 310.7

- anonymous

exactly... but i think you missd to add 0.5s... please add and verify your answer

- anonymous

got it?

- anonymous

is it 350.2

- anonymous

309+ 311.5+313+310+308+314+312+310.5 =?

- anonymous

it equals to 2488

- anonymous

when you just add them

- anonymous

yes.. now find average

- anonymous

311

- anonymous

yup... you got the average output of machine one.... congrads
now find the averag output of machine 2

- anonymous

2490 before u divide for machine 2 right

- anonymous

yes

- anonymous

so average or mean output of machine 2 is ?

- anonymous

311.2

- anonymous

yes.. can you give 2 decimal digit answer

- anonymous

means after decimal point two more numbers (which incrases the precision of your answer)

- anonymous

311.25

- anonymous

Exactly.... well done......
... in this case this answer (311.2) is sufficient but it won't b in another case where we require more precision..
ok.... Can you give me the mean out out of machine 3 then?

- anonymous

***mean output of machine 3

- anonymous

give two or three digits after decimal point

- anonymous

Got it???

- anonymous

the third machine has a sum of 2491 before dividing

- anonymous

the mean out put of machine three is 311.375

- anonymous

Yes.... yess... you got the mean output of alll your machines... now rad the question and tell me what is the correct answer?

- anonymous

machine three has the highest because machine 1 only has 311 machine two only has 311.25 and machine three has 311.375

- anonymous

yup.... congratulations again......... averages or mean is ok for you now :)

- anonymous

also... there are som simple tricks to find mean values... you may study later

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