Chapter 10.3, Problem 9E

(A) Find set of the ungrouped mean and sample standard data deviation of the following set of

ungrouped sample data.

$\begin{array}{llllllllll}4\hfill & 2\hfill & 3\hfill & 5\hfill & 3\hfill & 1\hfill & 6\hfill & 4\hfill & 2\hfill & 3\hfill \end{array}$

(B) What proportion of the measurements lies within 1standard deviation of the mean? Within $2$ standard deviations? Within $3$ standard deviations?

(C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shaped?

(D) Explain. To confirm your conjecture, construct a histogram with class interval width 1 starting at 0.5.