Boxplots: Data cycle, bias, sampling, and outliers

Which is the best survey question to gather data?

• What do you think about homework?

• How much time do you spend on homework daily?

• Do you do your homework regularly?

• Why do students have homework?

Tags

CCSS.HSS.IC.B.3

You want to find out the average number of hours students in your school spend doing homework each week. Which sampling method is best?

• Surveying 25 students in your homeroom class

• Surveying 100 students from one subject only

• Surveying 50 randomly selected students from all grade levels

• Surveying 200 students who are in the library after school

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

A teacher wants to know how often students eat breakfast. Which survey design introduces bias?

• Asking every 10th student entering the school

• Sending an email survey to all parents

• Asking only students who are in the cafeteria during breakfast

• Randomly selecting students from a list of all students

Tags

CCSS.HSS.IC.B.3

A group of students records the number of hours they spend on the phone each day: 2, 5, 7, 7, and 30. Which statement about the data is correct?

• The outlier is 30, which makes the mean larger than most of the data values.

• The outlier is 2, which makes the median smaller than the mean.

• The outlier is 30, which has no effect on the data’s range.

• There is no outlier because all values are part of the data set.

How does a random sample help reduce bias in a survey?

• It guarantees equal responses from all groups.

• It ensures each member of the population has an equal chance of being selected.

• It automatically increases the size of the population being surveyed.

• It removes the need for data organization.

Tags

CCSS.HSS.IC.B.3

A sample of 50 students is chosen to represent a school population of 800 students. What is the best way to determine if the sample is representative?

• Check if students were selected randomly from different grades and groups.

• Ensure the sample includes all students from one grade.

• Confirm the sample has the same number of boys and girls.

• Make sure the sample includes students with similar hobbies.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

A data set shows the weekly screen time of students: 3, 5, 7, 7, 50 hours. What is the effect of the outlier (50 hours)?

• It decreases the median.

• It increases the mean.

• It has no effect on the mode.

• It reduces the range.

A boxplot is the best graphical representation of a data set when:

• There are multiple modes in the data set.

• The data set includes an outlier that affects the spread.

• The data is entirely categorical.

• The data set is small and contains no extreme values.

When analyzing data, how can bias affect the results of a survey?

• It ensures all data is accurate.

• It makes the sample more representative of the population.

• It can lead to misleading conclusions by over-representing certain groups.

• It eliminates the need for a random sample.

Tags

CCSS.HSS.IC.B.3

Which of the following is not a valid method for collecting data to answer a formulated question?

• Conducting a survey to ask students about their favorite hobbies

• Observing how many students use the library during lunch

• • Guessing how many hours students study based on personal experience

• Measuring the height of plants in an experiment to test fertilizer effectiveness

Tags

CCSS.HSS.IC.B.3