Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Sampling and Experimentation

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

## Random Samples

#### Activity Overview

Compare the results of the three estimation methods to show that random samples of rectangles provide estimates that, on average, are closer to the true population mean than the other two methods.

#### Objectives

• Students will describe the meaning of bias in estimation.
• Students will recognize that the mean of a random sample is an unbiased estimator for the population mean.
• Students will recognize that estimates of the population mean using expert judgment can be biased.
• Students will recognize that the mean of a sample obtained using non-random sampling methods can be a biased estimator of the population mean.

#### Vocabulary

• bias
• convenience sample
• mean
• random sample