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 ages of 30 students selected randomly from one college are as follows: $$\begin{array} { l l l l l }
21 & 23 & 20 & 24 & 20 \
19 & 20 & 19 & 22 & 32 \
20 & 24 & 26 & 21 & 37 \
23 & 18 & 34 & 25 & 30 \
22 & 24 & 23 & 19 & 28 \
20 & 29 & 21 & 35 & 25 \
20 & 21 & 28 & 22 & 32
\end{array}$$

Question

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 ages of 30 students selected randomly from one college are as follows: $$\begin{array} { l l l l l } 
21 & 23 & 20 & 24 & 20 \
19 & 20 & 19 & 22 & 32 \
20 & 24 & 26 & 21 & 37 \
23 & 18 & 34 & 25 & 30 \
22 & 24 & 23 & 19 & 28 \
20 & 29 & 21 & 35 & 25 \
20 & 21 & 28 & 22 & 32
\end{array}$$

Quizplus · Accepted Answer

The Answer is The requirement for normality is not satisfied since a histogram of the data is not bell shaped. The data does have a single mode, however the histogram is not symmetric but is skewed to the right.

Examine the Given Data Set and Determine Whether the Requirement