Surveys, experiments and observational studies, and judging a report
Grade 11 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Noah's class assigns 30 bean plants at random: 15 get plant food and 15 get plain water. Then the class measures their growth. Which kind of study is this?
- A sample survey: it asks a sample questions.
- An observational study: the class only measured what happened to the plants.
- An experiment: the class chose, at random, which plants got plant food.
Pia's class flips a coin for each of 24 paper airplanes to give it long or short wings. Then the class measures every flight. Which kind of study is this?
How the groups were made: 24 dots (airplanes); a coin flip marked each one L (long wings) or S (short wings), 12 of each. How the groups were made: 24 dots (airplanes); a coin flip marked each one L (long wings) or S (short wings), 12 of each. coin flip 24 airplanes L L L L L L L L L L L L S S S S S S S S S S S S 12 L 12 S - A sample survey: it asks a sample questions.
- An experiment: the class chose, by coin flip, which planes got long wings.
- An observational study: the class only measured what happened to the planes.
Zee's class assigns 30 bean plants at random to plant food or plain water. What does the random assignment do?
How the groups were made: 30 dots; each one sent to a group by chance, half and half. How the groups were made: 30 dots; each one sent to a group by chance, half and half. How the groups were made 30 dots group group each one sent to a group by chance, half and half. - It lets the result describe every bean plant in the world, even ones never in the study.
- Nothing: the class could pick the strongest plants for plant food.
- It makes the groups alike, so a difference can be put down to the plant food.
800 dots (students); 40 circled by chance, spread all over the plot. Bo picks 40 of the school's 800 students at random to ask about reading. What does the random pick do?
- It shows what makes students read more.
- Nothing: asking the first 40 at the door works as well.
- It lets the result stand for all 800 students.
600 dots (students); 50 circled by chance, spread all over the plot. Esme picks 50 of the school's 600 students at random to ask about recycling. What does the random pick do?
- Nothing: asking the 50 students in the green club works as well.
- It shows what makes students recycle.
- It lets the result stand for all 600 students.
900 dots (students); 60 circled, drawn at random, spread all over the plot. Kira draws 60 names at random from all 900 students and asks about recycling. Who can the result describe?
- Only the 60 students asked
- All 900 students at the school
- Every student in the country
700 dots (students); the 90 circled are the ones who chose to answer, bunched together. All 700 students could answer Milo's online poll about a later start; 90 chose to answer. Who can the result describe?
- Only the 90 who chose to answer; they may feel strongly
- Every student in the country
- All 700 students at the school
Noah's report graph starts its axis at 80, not 0. A bar shows 86 votes for a class pet. How many units tall is that bar drawn above the axis start?
The same count drawn two ways: Graph A's axis starts at 0, so the bar is 86 units tall; Graph B's axis starts at 80. The same count drawn two ways: Graph A's axis starts at 0, so the bar is 86 units tall; Graph B's axis starts at 80. Graph A 0 10 20 30 40 50 60 70 80 90 86 Graph B 80 82 84 86 88 90 86 The same count drawn two ways: Graph A's axis starts at 0, so the bar is 86 units tall; Graph B's axis starts at 80. Pia's report graph starts its axis at 120, not 0. A bar shows 128 students who bike. How many units tall is that bar drawn above the axis start?
The same count drawn two ways: Graph A's axis starts at 0, so the bar is 128 units tall; Graph B's axis starts at 120. The same count drawn two ways: Graph A's axis starts at 0, so the bar is 128 units tall; Graph B's axis starts at 120. Graph A 0 16 32 48 64 80 96 112 128 128 Graph B 120 121 122 123 124 125 126 127 128 128 Ren's report graph starts its axis at 30, not 0. A bar shows 37 books returned late. How many units tall is that bar drawn above the axis start?
The same count drawn two ways: Graph A's axis starts at 0, so the bar is 37 units tall; Graph B's axis starts at 30. The same count drawn two ways: Graph A's axis starts at 0, so the bar is 37 units tall; Graph B's axis starts at 30. Graph A 0 10 20 30 40 37 Graph B 30 32 34 36 38 40 37