Sampling Methods — Quiz Answers

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Perry performs a study to determine the average number of flowers on gardenia bushes at a plant nursery. Which will produce the most representative results?

A
a sample of 10 gardenia bushes in the shade and 10 in full sun
B
a sample of every other gardenia bush in full sun
C
a sample of the first 20 gardenia bushes near the entrance
D
a sample of every other gardenia bush in the shade
4

Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the foreign language they are studying. Charles first gets class lists of all students taking foreign language classes. He then chooses 10 students from each different language class to survey. Which best explains why the sample he chose may not be a representative sample?

A
The way the sample was chosen does not sample students from each different language class.
B
The sample size is not large enough to represent the population.
C
The sample was not chosen at random.
D
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
6

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students–65 boys and 95 girls–going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?

A
The representative sample contained an equal number of boys and girls.
B
The representative sample contained more girls than boys.
C
The representative sample contained more boys than girls.
D
The representative sample contained all 160 students.
7

Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?

A
the last 20 people in line for breakfast in the cafeteria
B
the first 20 students who arrive at school in the morning
C
5 students out of each of the 4 homeroom classes
D
all 20 boys on the swim team
8

A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?

A
The representative sample contained all 200 tourists.
B
The representative sample contained an equal number of adults and children.
C
The representative sample contained more children than adults.
D
The representative sample contained more adults than children.
9

Nathan and Jordan design surveys to determine the average amount of time bicyclists in a race spend training each week. Nathan surveys every fifth bicyclist crossing the finish line after a race. Jordan surveys the first five bicyclists to finish the race. Which best explains which sample is likely to be the most valid?

A
Jordan’s because his sample contained elements of the population
B
Nathan’s because his sample contained elements of the population
C
Jordan’s because his sample was more random
D
Nathan’s because his sample was more random

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Sampling Methods — Quiz Answers — Grade 7…