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 numbers obtained on 50 rolls of a die. $$\begin{array} { l l l l l l l l l l } 1 & 5 & 5 & 3 & 6 & 4 & 5 & 6 & 3 & 4 \\2 & 5 & 3 & 5 & 4 & 2 & 1 & 4 & 3 & 1 \\6 & 1 & 2 & 6 & 1 & 2 & 5 & 3 & 3 & 4 \\4 & 1 & 3 & 1 & 6 & 2 & 2 & 5 & 5 & 3 \\3 & 5 & 1 & 6 & 2 & 1 & 1 & 4 & 6 & 5\end{array}$$