"The Dispersion Degree of Data" Data Analysis PPT Courseware 2

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"The Dispersion Degree of Data" Data Analysis PPT Courseware 2

Review the past and learn the new

What are range, variance, and standard deviation?

What is the formula for calculating variance?

What is the relationship between the variance of a set of data and the fluctuation of this set of data?

Range refers to the difference between the largest data and the smallest data in a set of data. The variance is the average of the squares of the differences between the individual data and the mean. The standard deviation is the arithmetic square root of the variance.

Calculate the variance and standard deviation of the following two sets of data:

(1) 1, 2, 3, 4, 5;

(2)103, 102, 98, 101, 99.

Solution: (1)S2 = 2; (2)S2 = 3.8;

Do it

(1) Work in pairs, in a quiet environment, one person estimates the time for 1 minute, the other person writes down the actual time, and records the results.

(2) Do this experiment again in a noisy environment.

(3) Sum up the results of the whole class and calculate the mean and variance of the estimated results in quiet and noisy environments respectively.

(4) Are the results consistent in the two cases? Give reasons.

summary

During the study of this lesson, what new insights did you gain about the size of variance?

New understanding: The smaller the variance, the more stable the data is. However, it does not mean that the data is better. Only through detailed analysis of the specific situation can we draw the correct conclusion.

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Update Time: 2024-10-17

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