skittles223 3 years ago 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

1. Rosh007

do you know what is mean output?

2. skittles223

no srry

3. Rosh007

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

4. skittles223

no i forget

5. Rosh007

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?

6. skittles223

45.5

7. Rosh007

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

8. skittles223

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

9. Rosh007

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

10. skittles223

11. skittles223

or is it 41

12. Rosh007

can you say how you got 91 and 41 ?

13. skittles223

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

14. Rosh007

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)

15. skittles223

the second one

16. skittles223

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

17. Rosh007

sure.. now how many bags are there?

18. skittles223

8 bags

19. Rosh007

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

20. skittles223

how do you do that

21. Rosh007

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?:)

22. Rosh007

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

23. skittles223

310.7

24. Rosh007

how you got it?

25. skittles223

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

26. Rosh007

27. Rosh007

got it?

28. skittles223

is it 350.2

29. Rosh007

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

30. skittles223

it equals to 2488

31. skittles223

32. Rosh007

yes.. now find average

33. skittles223

311

34. Rosh007

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

35. skittles223

2490 before u divide for machine 2 right

36. Rosh007

yes

37. Rosh007

so average or mean output of machine 2 is ?

38. skittles223

311.2

39. Rosh007

yes.. can you give 2 decimal digit answer

40. Rosh007

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

41. skittles223

311.25

42. Rosh007

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?

43. Rosh007

***mean output of machine 3

44. Rosh007

give two or three digits after decimal point

45. Rosh007

Got it???

46. skittles223

the third machine has a sum of 2491 before dividing

47. skittles223

the mean out put of machine three is 311.375

48. Rosh007

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

49. skittles223

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

50. Rosh007

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

51. Rosh007

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