2.33 Test your technology. This exercise requires a calcula tor with a standard deviation button or software with a standard deviation function. The observations 10,001 10,002 10,003 have mean x = 10, 002 and standard deviation s = 1. Adding a 0 in the center of each number, the next set becomes 100,001 100,002 100,003 The standard deviation remains s = 1 as more Os are added.

Use your calculator or software to find the standard deviation of these numbers, adding extra Os until you get an incorrect answer. How soon did you go wrong? This demonstrates that calculators and software cannot handle an arbitrary number of digits correctly.