Question

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

Answer 1

do you know what is mean output?

Answer 2

no srry

Answer 3

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

Answer 4

no i forget

Answer 5

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?

Answer 6

45.5

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

or 91 is the answer

Answer 11

or is it 41

Answer 12

can you say how you got 91 and 41 ?

Answer 13

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

Answer 14

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)

Answer 15

the second one

Answer 16

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

Answer 17

sure.. now how many bags are there?

Answer 18

8 bags

Answer 19

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

Answer 20

how do you do that

Answer 21

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?:)

Answer 22

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

Answer 23

310.7

Answer 24

how you got it?

Answer 25

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

Answer 26

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

Answer 27

got it?

Answer 28

is it 350.2

Answer 29

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

Answer 30

it equals to 2488

Answer 31

when you just add them

Answer 32

yes.. now find average

Answer 33

311

Answer 34

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

Answer 35

2490 before u divide for machine 2 right

Answer 36

yes

Answer 37

so average or mean output of machine 2 is ?

Answer 38

311.2

Answer 39

yes.. can you give 2 decimal digit answer

Answer 40

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

Answer 41

311.25

Answer 42

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?

Answer 43

***mean output of machine 3

Answer 44

give two or three digits after decimal point

Answer 45

Got it???

Answer 46

the third machine has a sum of 2491 before dividing

Answer 47

the mean out put of machine three is 311.375

Answer 48

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

Answer 49

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

Answer 50

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

Answer 51

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