Education Technology

# German Tanks: Exploring Sampling Distributions

Math: Statistics: Sampling Distributions
9-12
45 Minutes
TI-Nspire™ CX CAS
TI-Nspire™ CX
TI-Nspire™ CX/CX II
TI-Nspire™ CX CAS/CX II CAS
5.0
Lessons
TNS

# German Tanks: Exploring Sampling Distributions

Activity Overview

In this lesson, students will estimate the largest number of a population based on random samples from the population, as statisticians did in WWII.

Objectives

• Students will be able to interpret variability in the sampling distribution of a sample statistic.
• Students will evaluate the usefulness of a statistic by studying its sampling distribution.
• Students will be able to identify a biased estimator that results in predominantly over or under estimates of the population parameter.

Vocabulary

• bias
• dotplot
• mean
• median
• maximum
• minimum
• parameter
• statistic
• variability

This lesson involves estimating the largest value from a population of consecutive numbers starting at 1.
As a result, students will:

• Create rules to estimate the largest number of a population based on random samples from the population.
• Analyze rules using graphs of the sampling distributions of a sample statistic.
• Analyze rules to determine an estimate of the largest value from a population.