Sampling for Representative Data Quiz

A teacher wants to survey students about their favorite school subject. Which of the following best defines a **representative sample**?

• A sample that includes only the students who volunteer to participate

• A sample that accurately reflects the characteristics of the larger population

• A sample that includes only the highest-performing students

• A sample that is collected from one single classroom

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What is a **population** in the context of data collection?

• The number of questions in a survey

• The group of people who design the survey

• The entire group that a researcher wants to draw conclusions about

• The results collected from a single school

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Which of the following is an example of a **biased sample**?

• Randomly selecting 50 students from all grade levels in a school

• Surveying only students in the school's chess club to determine the favorite sport of all students

• Using a random number generator to pick students from a class roster

• Selecting every 10th student from an alphabetical list of all students

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What does the term **sample size** refer to?

• The type of questions asked in a survey

• The number of individuals included in the sample

• The location where the survey is conducted

• The time it takes to complete a survey

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Which of the following sampling methods is most likely to produce a **representative sample**?

• Asking only your friends to participate in a survey

• Surveying students only from one lunch period

• Randomly selecting students from the entire school's roster

• Choosing students who raise their hand first in class

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A researcher surveys 30 out of 300 students in a school. Which factor most directly affects whether this sample is **representative**?

• The color of the survey paper used

• Whether the 30 students were selected randomly from all 300 students

• The length of time the survey takes to complete

• Whether the survey was conducted indoors or outdoors

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A school has 200 boys and 200 girls. A student surveys 20 boys and 20 girls randomly. Which statement best explains why this sample is likely **representative**?

• The sample is large enough to include every student in the school

• The sample reflects the equal gender distribution of the school population

• The sample was collected during school hours

• The sample only includes students who wanted to participate

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A student wants to find out the favorite after-school activity of all 6th graders in her school. She surveys only students from her math class. Which factor makes this sample **not representative**?

• The sample is too large

• The sample does not include students from all 6th grade classes

• The sample includes too many different activities

• The sample was collected during school hours

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A researcher wants to determine the favorite genre of books among students at a school with 500 students. She randomly selects 50 students from the full student roster. Which of the following changes would most **improve** the representativeness of her sample?

• Only surveying students who visit the library

• Increasing the sample size to 150 students selected randomly

• Surveying only 6th graders

• Asking the same 50 students twice

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A school cafeteria wants to know which lunch option is most popular among all students. They survey 40 students who always buy lunch. Which concept explains why this sample may **not** represent all students?

• The sample size is too large

• The sample excludes students who bring lunch from home, creating a biased sample

• The sample was collected in the cafeteria, which is appropriate

• The sample includes students from multiple grade levels

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