How to calculate the average annual growth rate simply, and what is the simple algorithm for the ave

The simple algorithm for data analysis of the average annual growth rate is as follows:+nx=(1+x)^n。

2. The average annual growth rate = [n times under the root number (the last year and the first year)] -1, n = the number of years - 1.

3. The growth rate of data in n years = [(the previous n years of this period) -1] 100.

4. The average growth rate is equal to (the value of the reporting period divided by the value of the base period) square -100.

5. Divide the last value (a) of the calculation period (n) by the initial value (b), open the power of the calculation period (n), and then subtract 1 to form the percentage.

The calculation of the average annual growth rate in data analysis is a difficult point in our national joint entrance examination. However, due to the complexity of its calculations, there are relatively few tests, which mainly appear in the joint examination questions or the examinations of individual municipal institutions.

Average annual growth rateThe simple algorithm of :

The growth rate of the data in the year n takes the dust date [(the first n years of this period) :

It is the square of the n-year total asset growth index in parentheses, that is, the index is averaged. Because the values in parentheses include the cumulative growth of n years, which is equivalent to compound interest calculation, they should be averaged. It should be noted that the opening number should be n, brother mountain instead of n-1, unless the end of the previous n year is changed to the beginning of the previous n year.

In short, the number of open squares must match the number of periods corresponding to the composite growth index in parentheses. And how to define the formula can be understood by the user.

3）［（1/(n-1)]-1：

Subtract 1 because the composite growth index calculated in parentheses contains 1 of the base period, and after the opening of the square, it is the average growth index of each year, which is still greater than 1, and what we need is the average annual growth rate, that is, only the incremental part is examined, so the 1 of the base period must be removed, so 1 must be subtracted.

The above refers to the Encyclopedia average annual growth rate.

Average annual growth rateThe simplified formula for is that 1 plus nx equals 1 plus x n. The average growth rate is equal to the value of the reporting period divided by the value of the base period minus 100%, the last value of the calculation period n a divided by the initial value b, the power of the calculation period n and the calculation of the ascending period n, and then subtracted by 1 percentage, the growth rate of the data in n years is equal to the current period divided by the previous n years.

Features of the simplified formula for average annual growth rateUse the simplified formula method.

It is more convenient and the error is small, the simplified formula method is to simplify the calculation formula of the average annual growth rate to, where n is the difference in the year, is the average annual growth rate, after simplification, we do not need to open the square when solving the average annual growth rate, simple multiplication and division can solve the problem.

The average annual growth rate is a statistically related concept, also known as compound growth rate.

It is the opening of the total asset growth index in parentheses in n years, that is, the index average, because the value in parentheses contains the cumulative growth of n years is equivalent to compound interest calculation, so it is necessary to open the average, and the average annual growth rate refers to the average annual growth rate in a certain number of years.

The average annual growth rate is equal to -1 under the root number n times (last year, first year), n = number of years - 1, and the calculation result can only be applied to the first year to calculate the last year, if the middle year is calculated, it is not equal to the original value.

The average annual growth rate reflects the average annual growth rate of statistical items in a certain time interval, that is, to find the average annual growth rate. The average annual growth rate is concerned only with the beginning and end values of the first and last two periods, and has nothing to do with the corresponding amount in the middle years. It is not concerned whether the material gives the values of the intermediate periods, nor the fluctuations of the values of the intermediate periods.

Notes:

The growth rate is divided into annual growth rate and average annual growth rate, where the annual growth rate represents the year-on-year growth rate with the annual statistical period, and the average annual growth rate represents the growth rate in n years.

In some of the stem expressions of the most value comparison questions, there is often the most increase (long) and the fastest increase (long), it should be noted that the former compares the amount of growth, while the latter compares the growth rate.

The average annual growth rate is calculated as: m = <>

where B is the last year, A is the first year, and M is the average annual growth rate.

In fact, considering b = a (1 + m)n, then it is a process of solving m.

Examples:

Since 2001, the number of visits to key news has increased by an average of 12% per month. China's internet industry currently contributes 7% to GDP and is likely to reach 15% in the next three years.

a． b． c． d．

Analysis] This argument is the average annual growth rate of the test, and the change of the question is the average annual growth rate of 2001 and 2002. Assuming that the number of visits to Qingling in December 2000 is 1, then December 2001 is 1 (1+12%)12, then the average annual growth rate is 1 (1+12%)12 1-1=.

A simple algorithm for the average annual growth rate of pickpockets:The growth rate of n-year data [(current period before n years) {1 (n-1)}-1] 100%.

Average annual growth rate [n times under the root number (last year, first year)] Hui quiet1, n = number of years 1, the result of the calculation can only be applied to the first year to calculate the last year, if the middle year is calculated, it is not equal to the original value.

The current period is the first n years.

It should be the end of the current year and the end of the previous n year, and the end of the previous n year refers to the end of the penultimate n year excluding the current year, for example, to calculate the four-year asset growth rate at the end of 2005, the calculation period should be four years, but the end of the previous four years should be the end of 2001. The parentheses are for the composite growth index for n years, not the growth rate.

1. Average annual growth rate.

Formula: Simple algorithm.

2. The formula for average annual growth rate excel.

3. The formula for the average annual growth rate and the average growth rate.

4. The formula of average annual growth rate is blindly derived.

1.The average annual growth rate = [n times under the root number (last year, first year)] -1, n = number of years - 1, the calculation of the corruption or result can only be applied to the first year to calculate the last year, if the middle year is calculated, it is not equal to the original value.

2.i.e. m=.

3.where B is the third year and A is the first year.

4.In fact, considering b=a(1+m)n, then it is a process of solving m.

5.The formula explains that the current period of the former Chavu n years should be the end of the current year and the end of the previous n years, where the end of the previous n years refers to the end of the penultimate n year excluding the current year, for example, the calculation of the four-year asset growth rate at the end of 2005.

The calculation period should be 2002002002002 four years, but the end of the first four years should be the end of 2001.

6.The parentheses are for the composite growth index for n years, not the growth rate.

The simple algorithm of the average annual growth rate is as follows: average annual growth rate = [n times under the root number (last year, first year)] -1, n = number of years - 1, etc.

Average annual growth rate = sum of the annual growth rate Number of years, the average annual growth rate is actually the average growth rate calculated together for the artificial number of years for the convenience of calculation. The special circumstances of individual years are excluded here, and the average growth rate should not be used in more detailed financial calculations.

Examples of average annual growth rates:

In 2001, the output value of the tertiary industry in a city was 100 million yuan, and in 2004 it was 100 million yuan, so the average annual growth rate from 2001 to 2004?

Solution 1:( This solution is obviously wrong, the growth rate of each year is calculated on the basis of the previous year, that is to say, the growth rate in 2004 is miscalculated on the basis of 2001, don't simplify the problem!

Solution 2: *100%=