What is the interval growth rate formula? What is the biennial growth rate formula?

IntervalsGrowth rateThe formula is: r=r1+r2+r1 r2.

The interval growth rate is also called the intertemporal growth rate, its meaning is: there are three periods, in chronological order from far to near respectively called the first period, the second period, the third period, the known growth rate of the second period compared with the first period is r1, the growth rate of the third period compared with the second period is r2, find the growth rate r of the third period compared with the first period, this type of question is called the interval growth rate, and its formula is r=r1+r2+r1 r2.

Interval development speed

Development speed = growth rate + 1, for example, if the growth rate of this year compared to last year is r, then the development rate of this year compared with last year is r + 1, that is, this year is several times that of last year. For example, if this year is 20% higher than last year, this year's development rate is 20%+1=, that is, this year is twice that of last year, which is the concept of development speed, which means that the current volume is several times the base period.

If you want to find the speed of development this year compared to the year before, this type of question is called interval development speed. The interval development speed is also the development speed, so the formula is still the growth rate +1, but the word "interval" is added, so the "interval growth rate" should be used, that is, the interval development speed = the interval growth rate + 1.

Formula: r=r1+r2+r1 r2.

The calculation formula can be written as Current Growth Rate Interphase Growth Rate Current Growth Rate Intertemporal Growth Rate.

If the growth rate from the first year to the second year and the second to the third year are r1 and r2 respectively, then the growth rate from the first year to the third year is r=r1+r2+r1r2, and r is called the interval growth rate.

Basic introduction. The synthetic growth rate is the growth rate of the known parts, and the growth rate of the whole is found. The value of the synthetic growth rate is between the highest and lowest values of the partial growth rate.

The growth contribution rate is the same as the driving growth rate, which is relatively special, and there are not many tests in the public account. But that doesn't mean we don't have to master it! It refers to the proportion of a partial increment to the overall increment.

When solving, the key is to find the increment of the part, the increment of the whole, and then make a comparison. It is generally expressed as a percentage. Since there are some similarities between these two growth rates, it is easy to confuse, so it is appropriate to keep the two in memory!

The interval growth rate, also known as the two-period mixed growth rate, is the growth rate of the second period and the third period, and the growth rate of the third period to the first period is known. The results can be calculated using simple addition and multiplication, as detailed in the Statistical Terminology section. As long as you master the formula, everything is easy to say.

The formula for interval growth rate: r=r1+r2+r1r2 (the growth rate of the second period relative to the first period is r1, the growth rate of the third period relative to the second period is r2, and the growth rate of the third period relative to the first period is r).

The formula for the interval growth rate is: r=r1+r2+r1 r2.

The formula is a bit more complicated than other data analysis formulas, so let's take an example:

For example, if the output value of a factory in 2018 is A0,000 yuan, and it increases in 2019, its growth rate is R1, and it increases again in 2020, and its growth rate is R2, then what is the growth rate in 2020 compared with 2018?

At this time, we know that what we need to solve is the growth rate, and there is a certain degree of difficulty, what is the growth rate in 2020 compared to 2018? In the case of alternate years, don't panic at this time, use our existing knowledge: you can solve, substitute the current amount and the base period into the formula, we can get, according to the stem, we get the output value of a thousand yuan in 2018, using the formula:

Year 2020=a (1+r1) (1+r2). Substituting the formula into :, simplifying it gets:

r=r1+r2+r1×r2。

Example 1] (2019 Shandong) In 2018, China's electricity consumption was 6,844.9 billion kWh, a year-on-year increase, and the growth rate increased by one percentage point year-on-year. Specifically, the electricity consumption of the primary industry was 72.8 billion kWh, a year-on-year increase; the electricity consumption of the secondary industry was 4,723.5 billion kWh, a year-on-year increase; the electricity consumption of the tertiary industry was 1,080.1 billion kWh, a year-on-year increase; The domestic electricity consumption of urban and rural residents was 968.5 billion kWh, a year-on-year increase.

In 2018, the electricity consumption of the whole society in China increased by about ( ) compared with 2016

a. b.c. d.

Answer] B Analysis].

In the first step, this question examines the calculation of the interval growth rate.

The second step is to locate the text material "In 2018, the electricity consumption of the whole society in China was 6,844.9 billion kilowatt hours, a year-on-year increase, and the growth rate increased by one percentage point year-on-year".

In the third step, according to the growth rate r=r1+r2+r1 r2,r1=,r2=, substitute the data to obtain r=.

So, choose option B.

Example 4] (2017 Joint Entrance Examination) In 2015, 10,000 people in difficulty benefited, with a year-on-year increase, and the growth rate decreased by one percentage point compared with the previous year. Throughout the year, 10,000 people provided 10,000 hours of volunteer service in the field of social services, a year-on-year decrease of 10,000 hours.

In 2015, the number of people in need who benefited from the benefits increased by about 1013

a. b.c. d.

Answer] D Analysis].

In the first step, this question examines the calculation of the interval growth rate.

The second step is to locate the second half of the written materials, "the number of people in difficulty who benefited in 2015 increased year-on-year, down by one percentage point from the previous year".

Third, the year-on-year growth rate in 2014 is: According to the interval growth rate formula r=r1+r2+r1 r2, we can see that the growth rate in 2015 is compared with 2013.

So, choose option D.

The interval growth rate is a more ingenious method in data analysis, which is easy to grasp and investigate, and can greatly speed up our calculations.

1. Formula: alternate yearsGrowth rate=(1+q1)×(1+q2)-1=q1+q2+q1×q2。

The formula only needs to be recorded as the product of the sum of the growth rates of the last two years plus the growth rates of the last two years in the three years involved, and there is no need to make a hard distinction as to which year Q1 and Q2 correspond to, but it must be noted that it is the growth rate of the last two years.

Note: Q1+Q2 actuarial calculation is carried out.

And Q1 Q2 needs to be calculated depending on the option.

2. Q1 Q2 calculation steps:

1) Percent sign.

The first rounding is rounded and multiplied by the whole number.

2) Add a percent sign with the decimal point forward by two places.

Examples:

In 2005, the house price of a city **, the house price in 2006 **, then the house price in 2006 was higher than that in 2004 ().

a23%。b24%。

c25%。d26%

Analysis: The product of the two-year growth rate and the two-year growth rate is >25%, so the answer is d.

Biennial growth rate.

There are two formulas, namely: biennial growth rate = (1 + current growth rate) (1 + intermittent growth rate) - 1. Biennial growth rate = Q1 + Q2 + Q1 Q2 (where:

Q1 refers to the current growth rate, and Q2 refers to the interval growth rate). Example: In 2005, the house price of a city **, and the house price in 2006 was **, then how much was the house price in 2006 compared with 2004**?

Analysis: The product of the growth rate of the alternate year = the sum of the growth rate of the two years + the growth rate of the two years = >25%, so the answer is 26%.

The formula for the interval growth rate is: r=r1+r2+r1 r2.

The interval growth rate is also called the intertemporal growth rate, its meaning is: there are three periods, in chronological order from far to near respectively called the first period, the second period, the third period, the known growth rate of the second period compared with the first period is r1, the growth rate of the third period compared with the second period is r2, find the growth rate r of the third period compared with the first period, this type of question is called the interval growth rate, and its formula is r=r1+r2+r1 r2.

Every other yearGrowth rateThe formula is: (1+q1) (1+q2)-1=q1+q2+q1 q2.

The formula only needs to be recorded as the sum of the growth rate of the last two years in the three years involved plus the product of the growth rate of the last two years, as for Q1 and Q2 respectively, which year does not need to be rigidly distinguished, but it must be noted that it is the growth rate of the last two years.

Note: Q1+Q2 actuarial calculation is carried out.

And Q1 Q2 needs to be calculated depending on the option.

Analysis: The basic formula of the biennial growth rate = (1+Q1) (1+Q2)-1=Q1+Q2+Q1, and Q2 is expressed as the current growth rate and the inter-period growth rate respectively. Q1 + Q2 are actuarial, and Q1 Q2 needs to be calculated according to the options.

Q1 Q2 Calculation Steps:

Percent signs. The first rounding is rounded and multiplied by the whole number.

Add a percent sign and move the decimal point forward by two places.

Alternate year growth rate:

Previous year's production (1+r2) = last year's production.

Last year's production (1+r1) = this year's production.

Therefore, from the above two formulas, it can be launched: the output of the previous year (1+r1) (1+r2) = the output of this year.

Calculate: alternate year growth rate = (current year's output and previous year's output) - 1 = r1 + r2 + r1 r2.