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Lesson 8-7 Using Sampling to Predict

Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population

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Page 1: Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population

Lesson 8-7

Using Sampling to Predict

Page 2: Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population

Definitions• Sample - A small group, it is

representative of a larger group, called a population.

Page 3: Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population

Definitions• Unbiased sample - selected so that it is

representative of the entire population.

Type Definition Example

Simple Random Sample

A sample where each item or person in the population is as likely to be chosen as any other.

The names of all students are put into a hat and drawn blindly.

Stratified Random Sample

The population is divided into similar, non-overlapping groups. A simple random sample is then selected from each group.

Students are picked at random from each grade level at a school.

Systematic Random Sample

The item or people are selected according to a specific time or item interval.

From an alphabetical list of all students attending a school, every 20th person is chosen.

Page 4: Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population

Definitions• Biased sample - One or more parts of a

population are favored over others.

Type Definition Example

Convenience Sample

A convenience sample includes members of a population that are easily accessed.

To represent all students in the school, the principal surveys one math class.

Voluntary Response Sample

A voluntary Response Sample involves only those who want to participate in the sampling.

Students at a school who wish to express their opinion are asked to come to the office after school.

Page 5: Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population
Page 6: Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population

To determine which school lunches students like most, every twentieth student to walk into the cafeteria is surveyed.

Describe each sample

To determine what sports teenagers like, the student athletes on the girls’ field hockey team are surveyed.

Unbiased – systematic random sample

Biased – convenience sample

Page 7: Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population
Page 8: Lesson 8-7 Using Sampling to Predict. Definitions Sample - A small group, it is representative of a larger group, called a population

BOOKS: The student council is trying to decide what types of books to sell at its annual book fair to help raise money for the eighth-grade trip. It surveys 40 students at random. The books they prefer are in the table.

Book Types Number of

Students

Mystery 12

Adventure Novel

9

Sports 11

Short Stories 8

What percent of the students prefer mysteries?

If 220 books are to be sold at the book fair, how many should be mysteries?