Data analysis is an important point in the test. Apart from the basic concepts, there are many independent knowledge points that will also appear in the test. The problem of mixed growth rates is one of them . The public education in this article will talk specifically with you Talk about common conclusions about mixed growth rates.
[Mixed Growth Rates]: When a whole can be viewed as the sum of two parts, the growth rate of the two parts can be mixed to get the overall growth rate.
① A whole can be seen as the sum of two parts:
Common sense concepts: import and export = import + export; urban and rural = urban + rural
Time cut-off point: whole year = first half + second half; 1-8 months = 1-7 months + August
② The two partial growth rates are mixed into the overall growth rate:
For example, the growth rate of imports is 10%, and the growth rate of exports is 20%. Together, the growth rate of imports and exports will be obtained. But here is not a simple operation of addition and subtraction, so what is the growth rate after synthesis?
[Regular features]: 1. The overall growth rate is between two partial growth rates.
2. Combining the median value (half of the growth rate of the two parts), the overall growth rate will be between the median value and the part of the base period value that is large.
[Example problem display]: In 2017, the total income of urban and rural enterprises in a certain area was 87 million yuan. Among them, the income of urban enterprises was 65 million yuan, a year-on-year increase of 15.2%, and the income of rural enterprises increased by 8.6% year-on-year.
A.6.5% B.8.6% C.13.5% D.15.3%
A8.7% B.11.5% C.13.5% D.15.3%
[Title analysis]: If the normal formula is solved, the growth rate = current value ÷ base value -1, so the formula is: . But the amount of calculation will be very large. Observing the problem stems, we can find that urban and rural enterprise income = urban enterprise income + rural enterprise income. In the question, the growth rates of urban and rural enterprises are given separately. The combination of the two is the overall growth rate. According to the characteristics of the law, the overall growth rate must be between the two, that is 8.6% <the growth rate of urban and rural enterprises <15.2%. Option C only matches.
But if the option is the data form of the second row, then both B and C are satisfied, how to determine it? In this case, you can use the intermediate value = (15.2% + 8.6%) ÷ 2 = 11.9%. And between the two parts, it is clear that the base period value of urban enterprises is larger. Therefore, the growth rate of urban and rural enterprises should be biased towards the urban side, that is, 11.9% <growth rate of urban and rural enterprises <15.2%.
The mixed problem of growth rate is a common knowledge point investigation in data analysis . It is important to be familiar with the specific environment that can be used, so that when you encounter such problems, you can quickly find the answer and avoid complex calculations. If you want to know more about the mixed growth rate estimation method, welcome to continue to pay attention to the public education!
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