Print a blank 50 × 15 spreadsheet on construction paper, and then cut the printed cells into 25 rectangles of varying size, some with just a few cells and some with many. Ask a few friends to pick a sample of 5 pieces from these. (One at a time, and don’t let them see what the others do, so that the samples are independently selected.) For each sample, find the average size of the 5 pieces.
(a) What is the population mean size?
(b) Are the sample averages close to the population mean?