# Classroom Activities

• ##### Subject Area

• Math: Statistics: Sampling Distributions

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.9

• ##### Report an Issue

Sampling Distributions

Updated on 10/06/2014

#### Activity Overview

This lesson involves examining samples from a normal population and observing the distribution of the means of those samples.

#### Objectives

• Students will recognize that the means of different samples from a normal population will vary symmetrically around the mean of the population, with values near the mean occurring more frequently than those further from the mean, but in a narrower interval than that of individual elements of the population.
• Students will recognize that as sample size increases, variability (spread) in the sampling distribution of sample means decreases.
• Students will look for and make use of structure (CCSS Mathematical Practices).
• Students will model with mathematics (CCSS Mathematical Practices).

#### Vocabulary

• dot plot
• histogram
• mean
• normal distribution
• population
• sample
• sample mean
• sampling distribution
• standard deviation