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?

- anonymous

- jamiebookeater

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

here geometric mean will be used...

- anonymous

\[(1.2)(1.3)(1.45) = 2.262\] so increase is 162.2%

- anonymous

divide by 3 and get average increase i guess

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

well satellite u have not been able to help me

- anonymous

oh sorry

- anonymous

use the formula sigma logx/n

- anonymous

and then take the antilog

- anonymous

if you want the geometric mean it will
\[\sqrt[3]{1.2\times 1.3\times 1.45}\]

- anonymous

hey no this is an alternate formula of g.m in statistics is sigma logx/n

- anonymous

you want
\[\frac{ln(1.2)+\ln(1.3)+\ln(1.45)}{3}\]?

- anonymous

ya.........

- anonymous

and what is d logic of using g.m here and not d mean?

- anonymous

in the book they have also use the compound interst formula alternatively

- 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

ya.......and the wolfram thing is beyond my maths level

- anonymous

i just plugged in the numbers to the formula you provided. you should be able to see exactly what i typed in

- anonymous

why did u not take 1.312

- Hero

How come you just can't do : (20 + 30 + 45)/3 = 31.6667% average increase?

- anonymous

because this is the total after the increase. the increase itself is what comes after the one in the decimal

- anonymous

for example if i want to increase a number by 30% i multiply it by 1.3

- anonymous

ok ,satellite why didnt we just use the mean?

- anonymous

gotta run, see you later

- anonymous

i don't know, you said the book said to use the formula you provided

- anonymous

bye....i think becoz the population grows exponetially

- anonymous

i have a similar ques

- Hero

tanusingh, have you considered khan academy or patrick JMT?

- anonymous

ya.......khan academy......but not for dis ques

- Hero

http://patrickjmt.com
Try that..

- Hero

Well, looks like Patrick doesn't have much for Prob and Stats

- anonymous

lets try hero

- anonymous

satellite is very gud in maths but he also got stuck

- anonymous

nah no help

- 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

herosorry but u r also goood

- Hero

I don't even have a stats book. I could probably find one though. Which one are you using?

- anonymous

ah s.c gupta (indian author

- Hero

I don't think I would be able to find that book. I think the solution satellite provided is accurate though.

- anonymous

statistcal methods by s.c gupta

- Hero

I'll try to find it

- Hero

There doesn't seem to exist an online version of the book.

- anonymous

thanks anyway

- Hero

I hope you find the help you're looking for. Have you consulted James yet?

- Hero

Okay, I'll try to help you but I must ask, "What is your issue with Satellite's solution?".

- anonymous

why isnt mean used?

- anonymous

his ans is mathematically right

- 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

You said it yourself, the formula is an alternative to the geometric mean formula.

- anonymous

i knw.....

- anonymous

it is a g.m formula for ungrouped data

- Hero

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.