anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
here geometric mean will be used...
anonymous
  • anonymous
\[(1.2)(1.3)(1.45) = 2.262\] so increase is 162.2%
anonymous
  • anonymous
divide by 3 and get average increase i guess

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anonymous
  • anonymous
well satellite u have not been able to help me
anonymous
  • anonymous
oh sorry
anonymous
  • anonymous
use the formula sigma logx/n
anonymous
  • anonymous
and then take the antilog
anonymous
  • anonymous
if you want the geometric mean it will \[\sqrt[3]{1.2\times 1.3\times 1.45}\]
anonymous
  • anonymous
hey no this is an alternate formula of g.m in statistics is sigma logx/n
anonymous
  • anonymous
you want \[\frac{ln(1.2)+\ln(1.3)+\ln(1.45)}{3}\]?
anonymous
  • anonymous
ya.........
anonymous
  • anonymous
and what is d logic of using g.m here and not d mean?
anonymous
  • anonymous
in the book they have also use the compound interst formula alternatively
anonymous
  • anonymous
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%
anonymous
  • anonymous
ya.......and the wolfram thing is beyond my maths level
anonymous
  • anonymous
i just plugged in the numbers to the formula you provided. you should be able to see exactly what i typed in
anonymous
  • anonymous
why did u not take 1.312
Hero
  • Hero
How come you just can't do : (20 + 30 + 45)/3 = 31.6667% average increase?
anonymous
  • anonymous
because this is the total after the increase. the increase itself is what comes after the one in the decimal
anonymous
  • anonymous
for example if i want to increase a number by 30% i multiply it by 1.3
anonymous
  • anonymous
ok ,satellite why didnt we just use the mean?
anonymous
  • anonymous
gotta run, see you later
anonymous
  • anonymous
i don't know, you said the book said to use the formula you provided
anonymous
  • anonymous
bye....i think becoz the population grows exponetially
anonymous
  • anonymous
i have a similar ques
Hero
  • Hero
tanusingh, have you considered khan academy or patrick JMT?
anonymous
  • anonymous
ya.......khan academy......but not for dis ques
Hero
  • Hero
http://patrickjmt.com Try that..
Hero
  • Hero
Well, looks like Patrick doesn't have much for Prob and Stats
anonymous
  • anonymous
lets try hero
anonymous
  • anonymous
satellite is very gud in maths but he also got stuck
anonymous
  • anonymous
nah no help
Hero
  • Hero
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.
anonymous
  • anonymous
herosorry but u r also goood
Hero
  • Hero
I don't even have a stats book. I could probably find one though. Which one are you using?
anonymous
  • anonymous
ah s.c gupta (indian author
Hero
  • Hero
I don't think I would be able to find that book. I think the solution satellite provided is accurate though.
anonymous
  • anonymous
statistcal methods by s.c gupta
Hero
  • Hero
I'll try to find it
Hero
  • Hero
There doesn't seem to exist an online version of the book.
anonymous
  • anonymous
thanks anyway
Hero
  • Hero
I hope you find the help you're looking for. Have you consulted James yet?
Hero
  • Hero
Okay, I'll try to help you but I must ask, "What is your issue with Satellite's solution?".
anonymous
  • anonymous
why isnt mean used?
anonymous
  • anonymous
his ans is mathematically right
Hero
  • Hero
He followed the formula you gave him. That's all that's required. I don't believe geometric mean applies to the formula.
Hero
  • Hero
You said it yourself, the formula is an alternative to the geometric mean formula.
anonymous
  • anonymous
i knw.....
anonymous
  • anonymous
it is a g.m formula for ungrouped data
Hero
  • Hero
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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