Examine the Given Data Set and Determine Whether the Requirement $\begin{array} { l l l l l } 20.4 & 25.1 & 22.8 & 27.0 & 23.5 \end{array}$

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 amount of rainfall (in inches) in 25 consecutive years in a certain city. $\begin{array} { l l l l l } 20.4 & 25.1 & 22.8 & 27.0 & 23.5 \end{array}$
$\begin{array} { l l l l l } 24.2 & 26.0 & 25.6 & 23.3 & 24.1 \end{array}$
$\begin{array} { l l l l l } 21.9 & 27.6 & 24.7 & 25.3 & 21.6 \end{array}$
$\begin{array} { l l l l l } 31.0 & 23.6 & 26.1 & 25.5 & 24.8 \end{array}$
$\begin{array} { l l l l l } 18.1 & 22.4 & 24.9 & 30.0 & 29.3 \end{array}$