Predictions From a Sample

The table shows the results of a random survey taken at an amusement park in which they asked guests that had previously visited the park before, to name their favorite ride. Based upon the results of this survey, what inference can you make about the entire population of visitors at the amusement park that day?

• The Green Dragon is the least popular ride.

• The King Canyon was exactly twice as popular as the Monte Carlo.

• The Ellipse is the most popular ride, with more than half of those surveyed choosing it as their favorite ride.

• One-third as many people chose the Monte Carlo as chose The Green Dragon.

A principal randomly chooses 40 students from grade 5. Of these students, 9 were wearing watches. Based on this information, what is the most reasonable prediction of the number of students wearing watches in a group of 120 students?

• 27

• 9

• 18

• 80

A poll was taken of Hobby Middle School, 25 out of 30 students said they would prefer pizza on Friday’s. Out of 1200 students, what is a reasonable prediction of how many students would prefer pizza on Fridays?

• 100

• 1000

• 10

• 1

True or False: all samples lead to a good prediction about an entire population.

• True

• False

The table shows the results of a survey of 200 people attending a hockey game.
The attendance for the hockey game is about 25,000 visitors each game.  Based on the table, how many people out of 25,000 could be expected to buy a pennant?

• 1,375

• 1,650

• 2,750

• 3,850

A travel club has 3,000 members. A random sample of 50 of the club members found that 12 people like mountain vacations best. Which statement is NOT supported by the sample data?

• Twenty-four percent of those sampled say they like mountain vacations best.

• An estimated 720 club members would likely say they enjoy mountain vacations best.

• Almost one-quarter of club members would likely say they enjoy mountain vacations best.

• More than 2,500 club members would likely say they prefer other vacations over mountain vacations.

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing tournament. Select the inference that can be made based on the data collected.

• On average, most participants caught and released 5 or more fish.

• More participants caught 6 fish than any other number.

• The same participants who caught and released 1 fish the first day caught and released 1 fish on the second day.

• On average, participants caught and released more fish on Day 2.

At Madison School, 48 students were randomly selected to represent the student body in a study about what they would prefer to see placed in the outdoor common area of the school. The results are shown in the table. Which statement does not represent the data collected?

• The school should place a sculpture in the common area.

• The fountain and pond are about equally popular with students.

• The students do not know what a Koi Fish is.

• Over half of the students surveyed prefer a sculpture.

Making a prediction in statistics is a

• random guess

• 100% accurate fact

• using a magic 8 ball

• using previous information to determine how likely something is to happen

In a sample of people in the school district, 16 out of 25 favored building a new football stadium. If 6,000 people vote in the next local election, how many are likely to vote in favor of the new football stadium based on this sample?

• 2,980

• 3,840

• 2,160