Task# Estimating the Mean State Area

Illustrative MathematicsVaries

The task is designed to show that random samples produce distributions of sample means that center at the population mean, and that the variation in the sample means will decrease noticeably as the sample size increases. Random sampling (like mixing names in a hat and drawing out a sample) is not a new idea to most students, although the terminology is likely to be new. Most students readily grasp this as a 'fair' way to select the sample because each item in the population gets an equal chance of being selected.