Making Predictions with Data

A survey of 100 students at a school found that 60 students prefer chocolate ice cream. If the school has 500 students, how many students would you predict prefer chocolate ice cream?

• 250

• 300

• 350

• 400

Answer explanation

In the survey, 60 out of 100 students prefer chocolate ice cream, which is 60%. Applying this percentage to the total of 500 students: 0.6 * 500 = 300. Thus, we predict that 300 students prefer chocolate ice cream.

Tags

CCSS.6.RP.A.3B

In a random sample of 50 households, 20 have a pet dog. If there are 200 households in the neighborhood, how many would you predict have a pet dog?

• 60

• 80

• 100

• 120

Answer explanation

In the sample, 20 out of 50 households have a pet dog, giving a ratio of 40%. Applying this ratio to 200 households predicts 80 households (0.4 * 200 = 80) would have a pet dog.

Tags

CCSS.7.RP.A.2C

A random sample of 40 students shows that 10 students walk to school. If there are 320 students in the school, how many students would you predict walk to school?

• 60

• 80

• 100

• 120

Answer explanation

In the sample, 10 out of 40 students walk to school, giving a ratio of 10/40 = 0.25. For 320 students, 0.25 * 320 = 80 students are predicted to walk to school. Thus, the correct answer is 80.

Tags

CCSS.7.RP.A.2C

In a survey of 200 people, 50 people said they prefer reading books over watching movies. If the town has 1,000 people, how many would you predict prefer reading books?

• 200

• 250

• 300

• 350

Answer explanation

In the survey, 50 out of 200 people prefer reading books, which is 25%. If the town has 1,000 people, 25% of 1,000 is 250. Thus, we predict 250 people prefer reading books.

Tags

CCSS.6.RP.A.3B

A random sample of 30 cars in a parking lot shows that 12 are red. If there are 150 cars in the parking lot, how many would you predict are red?

• 50

• 60

• 70

• 80

Answer explanation

To predict the number of red cars, use the proportion from the sample: 12 out of 30 cars are red. This is 12/30 = 0.4. For 150 cars, 0.4 * 150 = 60. Thus, we predict 60 cars are red.

Tags

CCSS.7.RP.A.3

In a random sample of 25 students, 5 students have a cat. If there are 200 students in the school, how many would you predict have a cat?

• 30

• 40

• 50

• 60

Answer explanation

In the sample, 5 out of 25 students have a cat, giving a ratio of 5/25 = 0.2. Applying this ratio to the total of 200 students predicts 200 * 0.2 = 40 students with a cat, making 40 the correct answer.

Tags

CCSS.7.RP.A.2C

A survey of 80 people found that 32 people prefer tea over coffee. If there are 400 people in the community, how many would you predict prefer tea?

• 120

• 140

• 160

• 180

Answer explanation

In the survey, 32 out of 80 people prefer tea, which is 40%. For 400 people in the community, 40% of 400 is 160. Therefore, we predict that 160 people prefer tea.

Tags

CCSS.6.RP.A.3B

In a random sample of 60 students, 24 students play a musical instrument. If there are 300 students in the school, how many would you predict play a musical instrument?

• 100

• 120

• 140

• 160

Answer explanation

In the sample, 24 out of 60 students play an instrument, giving a ratio of 24/60 = 0.4. For 300 students, 0.4 * 300 = 120. Thus, we predict that 120 students play a musical instrument.

Tags

CCSS.7.RP.A.2C

A random sample of 40 people shows that 16 people have traveled abroad. If there are 240 people in the group, how many would you predict have traveled abroad?

• 80

• 90

• 96

• 100

Answer explanation

In the sample, 16 out of 40 people traveled abroad, giving a proportion of 16/40 = 0.4. For 240 people, 0.4 * 240 = 96. Thus, we predict that 96 people have traveled abroad.

Tags

CCSS.7.RP.A.3

In a survey of 50 households, 15 have more than one car. If there are 300 households in the neighborhood, how many would you predict have more than one car?

• 75

• 80

• 85

• 90

Answer explanation

In the survey, 15 out of 50 households have more than one car, which is 30%. Applying this percentage to 300 households: 0.30 * 300 = 90. Thus, we predict 90 households have more than one car.

Tags

CCSS.7.RP.A.3