"Data Fluctuations" Data Collection and Processing PPT Courseware 2

Description

"Data Fluctuations" Data Collection and Processing PPT Courseware 2

Courseware description

This course is to understand the necessity and importance of analyzing the degree of fluctuation of a set of data in a specific problem situation. Through the scatter plot representation of two sets of data with close averages, one can intuitively feel the meaning of the degree of data fluctuation. On this basis The concept of variance is introduced above.

learning target:

1. Experience the formation process of variance and understand the meaning of variance;

2. Master the calculation method of variance and be able to initially use variance to solve practical problems.

Learning points:

Understanding and application of the meaning of variance.

Explore new knowledge

(1) What quantity can be used to describe the yield of sweet corn? Please explain after calculation.

This shows that in the experimental field, the average yields of sweet corn A and B are not much different.

It can be estimated that the average yields of these two types of sweet corn planted in this area are not much different.

(2) How to check the stability of the yield of a sweet corn?

① Please design a statistical chart to visually reflect the distribution of sweet corn yield.

②In statistics, the following method is often used to quantify the fluctuation of this set of data:

Assume n data x1, x2,...,xn, the squares of the differences between each data and their average x are respectively,

We use the average of these values ​​to measure the fluctuation of this set of data, and call it the variance of this set of data. The greater the variance, the greater the fluctuation of the data;

The smaller the variance, the smaller the fluctuation of the data.

Class summary

(1) How to calculate variance?

S²=1/n[(x1-x)²+(x2-x)²+......(xn-x)²]

(2) How do you understand the meaning of variance?

The greater the variance, the greater the fluctuation of the data;

The smaller the variance, the smaller the fluctuation of the data.

Applicable conditions for variance: When the averages of two sets of data are equal or similar, variance can be used to judge their fluctuations.

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Update Time: 2024-10-06

This template belongs to Mathematics courseware Beijing Normal University eighth grade mathematics volume 2 industry PPT template

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