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anonymous

  • 4 years ago

the population of a country increased in first decade by 20%,30% in the second decade and 45% in the third decade.what is the average rate of increase/decade in the population?

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  1. anonymous
    • 4 years ago
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    here geometric mean will be used...

  2. anonymous
    • 4 years ago
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    \[(1.2)(1.3)(1.45) = 2.262\] so increase is 162.2%

  3. anonymous
    • 4 years ago
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    divide by 3 and get average increase i guess

  4. anonymous
    • 4 years ago
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    well satellite u have not been able to help me

  5. anonymous
    • 4 years ago
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    oh sorry

  6. anonymous
    • 4 years ago
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    use the formula sigma logx/n

  7. anonymous
    • 4 years ago
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    and then take the antilog

  8. anonymous
    • 4 years ago
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    if you want the geometric mean it will \[\sqrt[3]{1.2\times 1.3\times 1.45}\]

  9. anonymous
    • 4 years ago
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    hey no this is an alternate formula of g.m in statistics is sigma logx/n

  10. anonymous
    • 4 years ago
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    you want \[\frac{ln(1.2)+\ln(1.3)+\ln(1.45)}{3}\]?

  11. anonymous
    • 4 years ago
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    ya.........

  12. anonymous
    • 4 years ago
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    and what is d logic of using g.m here and not d mean?

  13. anonymous
    • 4 years ago
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    in the book they have also use the compound interst formula alternatively

  14. anonymous
    • 4 years ago
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    http://www.wolframalpha.com/input/?i=e%5E%28%28ln%281.2%29%2Bln%281.3%29%2Bln%281.45%29%29%2F3%29 so i guess average is 31.27%

  15. anonymous
    • 4 years ago
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    ya.......and the wolfram thing is beyond my maths level

  16. anonymous
    • 4 years ago
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    i just plugged in the numbers to the formula you provided. you should be able to see exactly what i typed in

  17. anonymous
    • 4 years ago
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    why did u not take 1.312

  18. Hero
    • 4 years ago
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    How come you just can't do : (20 + 30 + 45)/3 = 31.6667% average increase?

  19. anonymous
    • 4 years ago
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    because this is the total after the increase. the increase itself is what comes after the one in the decimal

  20. anonymous
    • 4 years ago
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    for example if i want to increase a number by 30% i multiply it by 1.3

  21. anonymous
    • 4 years ago
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    ok ,satellite why didnt we just use the mean?

  22. anonymous
    • 4 years ago
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    gotta run, see you later

  23. anonymous
    • 4 years ago
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    i don't know, you said the book said to use the formula you provided

  24. anonymous
    • 4 years ago
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    bye....i think becoz the population grows exponetially

  25. anonymous
    • 4 years ago
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    i have a similar ques

  26. Hero
    • 4 years ago
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    tanusingh, have you considered khan academy or patrick JMT?

  27. anonymous
    • 4 years ago
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    ya.......khan academy......but not for dis ques

  28. Hero
    • 4 years ago
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    http://patrickjmt.com Try that..

  29. Hero
    • 4 years ago
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    Well, looks like Patrick doesn't have much for Prob and Stats

  30. anonymous
    • 4 years ago
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    lets try hero

  31. anonymous
    • 4 years ago
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    satellite is very gud in maths but he also got stuck

  32. anonymous
    • 4 years ago
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    nah no help

  33. Hero
    • 4 years ago
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    lol, I am in no position to help you. If Sat can't do it, I don't know who can. He's the smartest guy on here besides James. Now, that's someone you should probably consult.

  34. anonymous
    • 4 years ago
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    herosorry but u r also goood

  35. Hero
    • 4 years ago
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    I don't even have a stats book. I could probably find one though. Which one are you using?

  36. anonymous
    • 4 years ago
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    ah s.c gupta (indian author

  37. Hero
    • 4 years ago
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    I don't think I would be able to find that book. I think the solution satellite provided is accurate though.

  38. anonymous
    • 4 years ago
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    statistcal methods by s.c gupta

  39. Hero
    • 4 years ago
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    I'll try to find it

  40. Hero
    • 4 years ago
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    There doesn't seem to exist an online version of the book.

  41. anonymous
    • 4 years ago
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    thanks anyway

  42. Hero
    • 4 years ago
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    I hope you find the help you're looking for. Have you consulted James yet?

  43. Hero
    • 4 years ago
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    Okay, I'll try to help you but I must ask, "What is your issue with Satellite's solution?".

  44. anonymous
    • 4 years ago
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    why isnt mean used?

  45. anonymous
    • 4 years ago
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    his ans is mathematically right

  46. Hero
    • 4 years ago
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    He followed the formula you gave him. That's all that's required. I don't believe geometric mean applies to the formula.

  47. Hero
    • 4 years ago
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    You said it yourself, the formula is an alternative to the geometric mean formula.

  48. anonymous
    • 4 years ago
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    i knw.....

  49. anonymous
    • 4 years ago
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    it is a g.m formula for ungrouped data

  50. Hero
    • 4 years ago
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    What exactly is it about it that you don't understand? It's just a formula. You plug the numbers in and solve.

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