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Multiples in the analysis of test data

2019-12-26 10:18:01 | Source: Chinese Education Li Yi

Students are no strangers to multiples in data analysis. The problem of multiples in data analysis is also a relatively simple subject, but why do some students still make mistakes? In fact, they are careless mistakes. Next, the public education will take everyone to review the test sites in the multiples and further consolidate them.

Regarding how many times A is and how many times it has increased (A is several times more than B), I believe that many students often make mistakes:

Example 1. Xiaoxin monthly salary of 1500 yuan in 2016; Xiaoxin monthly salary of 500 yuan in 2015;

Question 1: How many times is Xiaoxin's monthly salary in 2016?

[Answer]: 3 times. The public analysis: how many times A is B, the column formula A ÷ B, 1500 ÷ 500 = 3 times, that is, the monthly salary in 2016 is 3 times that in 2015.

Question 2: How many times did Xiaoxin's monthly salary increase in 2016 compared to 2015? (Equivalent to the year-on-year growth rate in 2016)

[Answer]: 2 times. Chinese public analysis: How many times the increase is a question of growth rate, when the growth rate is greater than 100%, it is often expressed as how many times the increase. Since the growth rate is calculated, according to the formula of growth rate, (current value-base period value) ÷ base period value, (1500-500) ÷ 500 = 2, that is, the monthly salary of Xiaoxin in 2016 increased by 2 times than that in 2015 (or An increase of 200%).

Memory method: how many times A is B, directly (A ÷ B); how many times it is increased, it is calculated as the growth rate, first reduced and then divided (of course, it is also equal to ).

Supplement: How many times A is more than B is equivalent to the question of how many times, (AB) ÷ B.

Expansion: What does adding 1 minus 1 mean?

It is known that wages in 2016 have increased by 60% compared to 2015. How many times are wages in 2016 equal to 2015?

[Answer]: 1.6 times. The public analysis: how many times A is B, the formula A ÷ B, that is, the value in 2016 ÷ the value in 2015, that is, the current value ÷ the base period value, which is equal to (1 + growth rate), so the salary in 2016 It is (1 + 60%) = 1.6 times in 2015.

Summary: current period value ÷ base period value = growth rate +1

Exercise 1. It is known that the salary in 2016 has increased 2.3 times compared to 2015. How many times the salary in 2016 is 2015?

[Answer]: 3.3 times. Analysis of the public company: the growth rate is 2.3 times (230% growth), so the 2016 value ÷ 2015 value = (1 + growth rate) = 1 + 2.3 = 3.3, and the salary in 2016 is 3.3 times that of 2015.

Exercise 2. Knowing that A is 3.3 times more than B, find how many times A is B?

[Answer]: 4.3 times. Chinese public analysis: 3.3 times more, similar to 3.3 times growth, so A ÷ B = (1 + growth rate) = 1 + 3.3 = 4.3, A is 4.3 times B.

Summary: When the question is how many times A is B, it is a multiple calculation, and the increase is XX times, more XX times, and more are used and calculated as growth rates.

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(Responsible editor: Zhang Ye)

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