Chapter 9.2, Problem 24E

(a)

To determine

To calculate: The variance for the numbers 9,999,999; 10,000,000; and 10,000,001 by using the formula $s^2=\frac{{\displaystyle \sum {\left(x-\overline{x}\right)}^2}}{n-1}$.

(b)

To determine

To calculate: The variance using the calculator and by using the short cut formula $s^2=\frac{{\displaystyle \sum x^2}-n{\overline{x}}^2}{n-1}$.

(c)

To determine

To explain: The reason behind discrepancy between the answers to parts (a) and (b) ;discuss the advantages and disadvantages of the short cut formula.