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Unit 8: Data & Statistics (1)

Unit 8: Data & Statistics (1)

Assessment

Presentation

Mathematics

11th Grade

Practice Problem

Easy

CCSS
HSS.IC.B.3, 7.SP.A.1, HSS.IC.A.1

Standards-aligned

Created by

Sarah Cox

Used 6+ times

FREE Resource

11 Slides • 14 Questions

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A company wanted to make a statement about which softdrink is most preferred by North Carolinians. They surveyed customers in 100 restaurants across the state to gather data.

Example:



​The POPULATION would be all residents of North Carolina




The
SAMPLE would be the customers surveyed in those 100 restaurants.

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Multiple Choice

A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population?

1

A selection of logo artists.

2

Every person in the United States.

3

A selection of shoppers from different states.

4

3,800 children age 5 - 15

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Multiple Choice

A survey company was trying to see if people in a state thought the pollution was too high. Which choice best represents a population?

1

Every person in the state.

2

A selection of people from each neighborhood in the state.

3

A selection of people who live in dirty neighborhoods.

4

A selection of people who live in small towns.

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Fill in the Blanks

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Multiple Choice

Which of the following is NOT a method of data collection?

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Survey

2

Experiment

3

Simulation

4

Prediction

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OBSERVATIONS

- do not influence or interfere with participants
Example: A study to determine how many times in a class period students check their cell phones could be completed by observational study

SIMULATION

- often done using a computer program; used for studies that are not practical to complete
Example: A study to determine the effect on product sales if the price was increased by 5% could be explored by simulation

EXPERIMENT

- uses a "control group" and an experimental group
Example: A study to determine if starting time was related to tardys was completed in a experiment where 1 school delayed its starting time by one hour and the other 3 schools kept their original start times. The percentage of student tardys were compared at the end of the year.

SURVEY

- people are asked to complete or volunteer to complete
Example: A study to determine the most popular restaurant in a town was completed by mailing out surveys to randomly selected residents.

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Multiple Choice

A student wants to determine the most liked professor at her college. Which type of study would be the most practical to obtain this information?

1

simulation

2

experiment

3

survey

4

Observation

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Multiple Choice

A principal wants to know what percentage of the students who are tardy to class are on their phones during class change. He monitors the halls after the bell rings. This is an example of...

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simulation

2

experiment

3

survey

4

observation

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​RANDOM
All students have their name entered into a box. 100 names are randomly selected from the box to be surveyed

​CLUSTERED
WHS students are divided by grade level (freshman, sophomores, etc). Then two grade levels are randomly selected and ALL students in those two grades levels are surveyed.

​STRATIFIED
WHS students are divided by grade level (freshman, sophomores, etc). Then SOME students are randomly selected from each grade level to complete a survey.

​SYSTEMATIC
Every 20th student that enters the cafeteria at WHS is surveyed

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Multiple Choice

Select the example that represents a stratified sampling method.

1

Dividing people into males and females, then choosing some randomly from each group.

2

Choosing every nth person from a list.

3

Dividing people by grade level and selecting all students in certain grades.

4

Selecting people with no pattern or reason.

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Multiple Choice

Which of the following sampling methods involves dividing the population into groups and then choosing all members from some of the groups?

1

Simple Random

2

Clustered

3

Stratified

4

Systematic

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Multiple Choice

Which option represents a systematic sampling method?

1

Put every student's name in a box and randomly draw out 100 names to survey.

2

Get a list of grade level (freshman, sophomore, etc.) then randomly select 50 students from list.

3

Get a list of all 3rd period classes, then survey all the students in 5 randomly selected classes.

4

Survey every 5th student that enters the cafeteria during C lunch.

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Fill in the Blanks

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Multiple Choice

The following is an example of which type of potential bias? To complete his survey about the most liked high school teacher, Jaylen asked all of the students in each of his classes.

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Sample size or representation

2

Leading question

3

Convenience sampling

4

Voluntary Responses

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Multiple Choice

The following is an example of which type of potential bias? When polling students about upcoming class elections, the questionnaire asked “since Cameron has promised to add snack options in the cafeteria, wouldn’t you agree he is the best choice for president?”

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Sample size or representation

2

Leading question

3

Convenience sampling

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Voluntary Responses

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Multiple Choice

The following is an example of which type of potential bias? A local morning radio station program asks its listeners call in and state whether or not they support the newly enforced town curfew for teenagers.

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Sample size or representation

2

Leading question

3

Convenience sampling

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Voluntary Responses

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Multiple Choice

Which types of bias are present in the examples given: (1) A NFL team hands out a survey at a home game about building a new stadium, (2) A radio talk show host asks listeners to phone in and express their opinions, (3) Shoppers at a mall are asked a negatively phrased question about a developer, (4) Restaurant wait staff ask every fifth customer to fill out a questionnaire and most who respond complain about poor service.

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(1) Convenience sampling, (2) Voluntary response, (3) Leading question, (4) Voluntary response

2

(1) Leading question, (2) Sample size, (3) Convenience sampling, (4) Leading question

3

(1) Voluntary response, (2) Convenience sampling, (3) Sample size, (4) Leading question

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(1) Sample size, (2) Leading question, (3) Voluntary response, (4) Convenience sampling

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