"Which method is more cost-effective" Statistics and Probability PPT courseware

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"Which method is more cost-effective" Statistics and Probability PPT courseware

Mathematics comes from life

Maybe you have been attracted by large lottery advertisements, maybe you have experienced various lottery promotions. Have you studied the possibility of winning various prizes?

In order to attract customers, a shopping mall set up a freely rotating turntable (as shown in the picture), and stipulated that every time a customer purchases 100 yuan of goods, they will get a chance to turn the turntable. If the turntable stops and the pointer is aligned with the red, In the yellow and green areas, customers can get shopping vouchers of 100 yuan, 50 yuan, and 20 yuan respectively. With the shopping vouchers, they can continue shopping in the mall. If the customer does not want to turn the carousel, he can directly get a shopping voucher of 10 yuan. Which way do you think is more cost-effective, spin the wheel or get shopping coupons directly?

Do it

(1) Form a cooperative group, make a turntable according to Figure 1, and use the experimental method (100 experiments per group) to find the average amount of 100 yuan, 50 yuan, 20 yuan shopping coupons and the amount of failure to obtain shopping coupons. .Which way is more cost-effective: spinning the carousel or getting shopping coupons directly?

(2) Communicate in groups to see if the conclusions of each group are consistent, summarize the data of each group, and calculate the average amount of shopping coupons obtained each time the wheel is turned.

think about it

(1) Change the turntable to the one in Figure 2. If the pointer is aligned with the red, yellow, and green areas after the turntable stops, the customer will still get 100 yuan, 50 yuan, and 20 yuan shopping coupons respectively. Compared with the previous turntable , which turntable is more cost-effective for customers?

(2) Without using experiments, can you find the average amount of shopping coupons obtained each time the wheel is rotated?

Xiao Ming and the others transferred 100 times and received a total of 1,320 yuan in shopping vouchers, so he thinks Xiao Liang's method is wrong. Do you agree with Xiao Ming's view?

Answer: Disagree. We know that when the number of tests is large, the test results should be close to the theoretical values, but no matter how many tests are performed, it is difficult to ensure that the test results are equal to the theoretical values. Therefore, there will be differences between the experimental results and the theoretical values.

Practice in class

1. Use another turntable to perform the above activity. Xiaoying draws the fan-shaped statistical chart below based on the experimental data to find the average amount of shopping coupons obtained each time the turntable is turned.

2. As shown in the picture, every small square in the picture is exactly the same except for the color. Xiao Ming is blindfolded and throws darts on the picture. If the dart hits the shaded part, Xiao Ming goes to watch a movie; if the dart hits the white square, Xiao Ming's brother can go to the movie with their only movie ticket. If the dart hits the dividing line or outside the picture, it will not count and will be re-thrown. Is this game fair to Xiao Ming and his brother? Why?

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"Which method is more cost-effective" Statistics and Probability PPT Courseware 2:

"Which method is more cost-effective" Statistics and Probability PPT Courseware 2 Learning Objectives 1. Let students have a preliminary understanding of how to judge whether an event is cost-effective and use it to judge some phenomena in real life. 2. Learn more about the connection between probability and statistics. Explore new...

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Update Time: 2024-09-08

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade Mathematics Volume 2 industry PPT template

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