Parents, caregivers and teachers: Explore this page for at-home or distance learning activities.

# Sample Means - Exploring Sampling Variability

Component ID: #ti1447732889

### Activity Description

Students will explore sampling variability in the sample means of different random samples of a population, using data on Internet access from the U.S. Census Bureauâ€™s American Community Survey.

Component ID: #ti298094582

### Suggested Grade Level

7

Component ID: #ti298094581

### Approximate Time Required

45-60 minutes

Component ID: #ti298094580

### Learning Objectives

• Students will be able to help create dot plots to represent a collection of sample means.
• Students will be able to select a random sample from a population.
• Students will be able to understand that sample means for different random samples of the same population will differ due to random selection.
• Students will be able to understand that there is less sampling variability in the sample mean when the sample size is large than when the sample size is small.

Component ID: #ti298094579

### Materials Required

• The student version of this activity, 8 pages
• A printed version of the data cards in the teacher version of the activity
• Calculators
• Sticky notes

## Teacher Notes

#### Blooms Taxonomy

Applying

Students will apply their knowledge of means and sampling to help create dot plots of sample means. Students will also analyze the dot plots to determine the center and spread of the data.

#### Subject

Middle School Math

#### Topics

• Random sampling
• Sample mean
• Sampling variability

#### Skills Taught

• Calculating sample means
• Constructing and comparing dot plots