Chapter 3.2, Problem 13P

Basic Computation: Variance, Standard Deviation Given the sample data

x: 2317153025

(a) Find the range.

(b) Verify that ${\displaystyle \sum x}=110\text{ and }{\displaystyle \sum x^2=2568}$.

(c) Use the results of part (b) and appropriate computation formulas to compute the sample variance $s^2$ and sample standard deviation s.

(d) Use the defining formulas to compute the sample variance $s^2$ and sample standard deviation s.

(e) Suppose the given data comprise the entire population of all x values. Compute the population variance ${\sigma }^2$ and population standard deviation $\sigma$.