geometric mean?

Question

i dont know how to do this help please,

The number of Internet users in Latin America grew from 15.8 million in 2000 to 60.6 million in 2004. Use the geometric mean to estimate the mean annual growth rate

Answer 1

15.8 million in 2000
60.6 million in 2004

to calculate the geometric mean of the numbers 15.8 and 60.6.
take the product: 15.8 x 60.6 = 957.48
Because there are only two numbers, take then the square root. So
square root of 957.48 = 30.94
Therefore the geometric mean is 30.94

Answer 2

The previous answer is not correct. The formula for calculating this is (Value at end of period/ value at beginning of period)^1/n -1 where n is the number of years. (The symbol ^ means "to the power of").

So (60.6/15.8)^1/4 - 1 By my calculations, the answer is .399, or approximately 40% average growth per year.

Answer 3

year 2000 2001 2002 2003 2004
number in millions 15.8 27 38.2 49.4 60.6


growth per year 11.2

I put the values into Excel. I took the actual growth over the four years and divided by 4 to get 11.2 million in growth per year. Then I added 11.2 to the 15.8 to get 27 as an estimate for 2001.

In summary, I assumed that the growth occurred in a straight line over the 4 years.