Examine the Given Data Set and Determine Whether the Requirement

Essay

Examine the given data set and determine whether the requirement of a normal distribution is satisfied. Assume that the requirement for a normal distribution is loose in the sense that the population distribution need not be exactly normal, but it must have a distribution which is basically symmetric with only one mode. Explain why you do or do not think that the requirement is satisfied.
-The heart rates (in beats per minute) of 30 randomly selected students are given below. $$\begin{array} { l l l l l } 78 & 64 & 69 & 75 & 80 \\63 & 70 & 72 & 72 & 68 \\77 & 71 & 74 & 84 & 70 \\62 & 67 & 71 & 69 & 58 \\74 & 70 & 80 & 63 & 88 \\60 & 68 & 69 & 70 & 71\end{array}$$