"Random Sampling" Statistics PPT Courseware (Simple Random Sampling)

Description

"Random Sampling" Statistics PPT Courseware (Simple Random Sampling)

Part One: Content Standards

1. Understand the concept of simple random sampling.

2. Master two common simple random sampling methods.

Random Sampling PPT, Part 2 Content: Before Class • Independent Exploration

[Textbook Extraction]

Knowledge Point 1 Census and Sample Survey

Preview the teaching materials and think about the questions

The research object of statistics is data, and its core is to study and solve problems through data analysis. Therefore, we must first try to obtain data related to the problem to lay the foundation for solving the problem.

In statistics, how do you generally obtain data related to a problem?

Knowledge sorting (1) Census definition: The method of investigating ______ is called a comprehensive survey, also called a census. In a survey, we call the _____ of the survey objects the population, and the _____ that make up the population are called individuals. In order to emphasize the purpose of the survey, the _____ of the survey objects can also be regarded as the overall, and the _____ of each survey subject as an individual, and _____ is often called a variable.

(2) Definition of sampling survey: According to a certain purpose, _____ individuals are selected from the population for investigation, and based on this to make estimates and judgments about the overall situation, it is called a sampling survey. That part of individuals is called the sample, and the _____ contained in the sample is called the sample size. The _____ obtained by surveying the sample is called the observation data of the sample, or sample data for short.

Knowledge point 2: Simple random sampling

Knowledge sorting (1) The definition of simple random sampling: Generally speaking, assume that a population contains N (N is a positive integer) individuals, and n (1≤n

(2) Commonly used simple random sampling methods: _____ and _____.

Knowledge Point Three: Drawing Lots and Random Number Method

Knowledge sorting (1) Lottery method: First give _____ to N individuals in the population, and then write all the numbers on small pieces of paper (can also be cards, small balls, etc.) with no difference in appearance, texture, etc. as _____, And put these small pieces of paper in a _____ box and stir thoroughly. Finally, the tags are extracted one by one from the box _____, so that the individuals corresponding to the numbers on the tags enter the sample until all the individuals required for the sample are drawn.

(2) Random number method: First give _____ to N individuals in the population, use a random number tool to generate integer random numbers in the range of 1 to N, and use the generated _____ as the selected number, so that the number corresponding to the number The individual enters _____. Repeat the above process until the number of individuals required for sampling is sufficient.

Random Sampling PPT, Part 3: Classroom • Interactive Inquiry

Explore the concept of simple random sampling

[Example 1] Is the following sampling method simple random sampling?

(1) Select 100 individuals as samples from infinite individuals.

(2) There are 45 students in a class, and the 5 tallest students are designated to participate in an activity organized by the school.

(3) Select 3 toys from 20 toys at one time for quality inspection.

[Analysis] (1) It is not a simple random sampling, because the number of individuals in the population to be sampled is infinite, not limited.

(2) It is not a simple random sampling, because the five tallest students are specifically designated among the 45 students. There is no randomness and it is not an equal probability sampling.

(3) It is not simple random sampling, because "one-time" sampling is not "one-by-one" sampling.

method promotion

Judgment method of simple random sampling

The key to judging whether the given samples are simple random sampling is to see whether they comply with the three characteristics of simple random sampling: that is, the number of the population is limited; one by one; and equal probability sampling.

Study 2: Application of lottery method

[Example 2] Select 5 pianos from 20 pianos for quality inspection. Please use the lottery method to determine these 5 pianos.

[Analysis] The first step is to number the 20 pianos. The numbers are 00, 01,..., 19.

The second step is to write the numbers on a piece of paper and crumple them into paper balls of the same size to make a number tag.

The third step is to put the obtained number tag into an opaque bag and stir it thoroughly.

The fourth step is to extract 5 tags one by one from the bag and record the numbers on them.

In the fifth step, the 5 pianos corresponding to the obtained numbers are the objects to be drawn.

method promotion

When using the lottery method to draw samples, you should pay attention to the following issues:

(1) When numbering, if there is already a number (such as student number, label number, etc.), there is no need to renumber it.

(2) The number tags must be exactly the same size and shape.

(3) The number should be stirred evenly.

(4) Extract one by one without replacement.

Random Sampling PPT, Part 4: After Class • Quality Development

1. "A good start is half the battle" - the most basic sampling method for obtaining sample data: simple random sampling

Mathematical modeling, data analysis, mathematical operations

The research object of statistics is data, and its core is to study and solve problems through data analysis. Therefore, finding ways to obtain data related to the problem is the basis for analyzing and solving the problem. First, how to draw samples from the population. Simple random sampling is the most basic sampling method.

2. "Everyone is equal before the law" - the fairness of simple random sampling

Mathematical modeling, logical reasoning, mathematical operations

[Typical Example 2]Use simple random sampling to select a sample with a capacity of 10 from n individuals. If in the second sampling, the probability of each remaining individual being selected is 13, then during the entire sampling process, the probability of each individual being selected is ()

A.14　B.13

C.514 D.1027

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For more information about the "Statistical Random Sampling Simple Random Sampling" PPT courseware, please click the Statistical PPT Random Sampling PPT Simple Random Sampling PPT tab.

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"Simple Random Sampling" PPT courseware 3:

"Simple Random Sampling" PPT Courseware 3 Question asked In order to understand the participation of students in sports activities during the summer vacation, the school is going to select a part of the students for a survey. Do you think the results obtained according to the following survey method can reflect the general situation of the entire school's students? ..

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Update Time: 2024-11-19

This template belongs to Mathematics courseware People's Education High School Mathematics Edition A Compulsory Course 2 industry PPT template

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