# Activities

• • • ##### Subject Area

• Math: Statistics: Sampling Distributions

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

Standard Error and Sampling Means

#### Activity Overview

This lesson involves investigating the relationship between the standard deviation of a population, the area of a set of rectangles, and the standard deviation of the sampling distribution of sample mean areas of the rectangles.

#### Objectives

• Students will recognize that samples have smaller variability than the population.
• Students will recognize that the variability in samples is a function of sample size, n, and that the standard deviation of the distribution of sample means is the sample standard deviation divided by the square root of n when the sampling is done with replacement.

#### Vocabulary

• mean
• sample
• sample distribution of sample means
• standard deviation
• standard error
• variance