# 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

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.

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

#### About the Lesson

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.