Statistics--Samples, Populations, and Bias

A school randomly chose ten English teachers and asked them which type of juice their students would prefer. Which reason best shows why this sample is biased?

• The sample didn't include students.
• The sample is too small.
• The sample can only be accurate if each teacher is included in the sample

Tags

CCSS.7.SP.A.1

At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?

• to randomly ask 8th grade students who went on a field trip last year
• to randomly choose some 7th grade students to select a location
• to ask all 7th grade teachers and administrators for a location
• to ask the student council to choose a location

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

The choir director in a high school wants to know how the students in the school feel about singing. If the director selects 100 girls and 100 boys to complete a survey, which method will result in a biased sample?

• The students will be selected from the choir
• The students will be selected randomly throughout the school
• The students will be selected on Wednesday afternoon before the choir concert
• The choir director will select five students from each of the forty homerooms in the school

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

Which scenario would produce the least biased results?

• asking athletes at a gym what their favorite television show is
• asking shoppers at a store where their favorite place to shop is
• asking fans at a baseball game who their favorite baseball team is
• asking students in a college library what their favorite college sports team is

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

A state fair had 1,019,887 people in attendance. The fair committee performed a survey. The question was, “What do fairgoers enjoy most about the fair?” Of those who responded, 83% reported eating traditional foods. Which group of people represents the sample group?

• Fair goers who like traditional foods
• The fair committee
• Fair goers who responded to the survey
• All fair goers

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

• thirty students who are often tardy
• thirty students who are rarely tardy
• thirty of her friends
• thirty randomly selected students from her school

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

Marcos wants to find out how many students at his school like to go to the movies. Which survey method is likely to produce a representative survey?

• Ask the boys in the boys locker room.
• Ask the 25 students in his homeroom class.
• Ask students coming out of a movie theater.
• Ask half of the 34 students on the soccer team.

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

A radio station in Raleigh, NC wants to know the most popular song of the week. The DJ surveys random listeners who call in throughout the week. What is the population of the DJ’s survey?

• all the people in Raleigh, NC
• listeners of this radio station
• the listeners who call the station
• the most popular song of the week

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

Mrs. Croix is conducting a survey to find out the favorite snack of fifth and sixth graders. She will ask a sample of 100 students. Which of the groups below should be surveyed to get the BEST representative sample?

• 100 students at the movie theater
• the first 100 students who go to a local baseball game
• 5 students from each of the 20 local elementary schools
• 20 students from each of the 5 local fifth- and sixth-grade schools

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

A factory manufactures light bulbs. The factory currently has 300 boxes of light bulbs in its warehouse. To test the quality of bulbs, Alex decides to take out a sample of bulbs and test them to see if they work. Which surveying method will give him the least valid results?

• selecting ten boxes randomly, mixing the bulbs of these boxes together and then selecting ten bulbs randomly
• selecting ten boxes randomly and then selecting one bulb randomly from each box
• selecting one bulb randomly from every tenth box
• selecting one box randomly and then selecting all the bulbs from the box

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2