The following data represent a random sample of the number of shares of a pharmaceutical companyʹs stocktraded for 20 days in 2000. $$\begin{array} { r r r r r }
4.71 & 9.63 & 11.13 & 8.25 & 14.57 \
6.02 & 10.42 & 9.67 & 12.83 & 13.98 \
4.97 & 9.27 & 12.32 & 7.48 & 28.27 \
8.44 & 10.87 & 5.01 & 7.97 & 11.61
\end{array}$$
A) not normally distributed
B) normally distributed

Question

The following data represent a random sample of the number of shares of a pharmaceutical companyʹs stocktraded for 20 days in 2000. $$\begin{array} { r r r r r } 
4.71 & 9.63 & 11.13 & 8.25 & 14.57 \
6.02 & 10.42 & 9.67 & 12.83 & 13.98 \
4.97 & 9.27 & 12.32 & 7.48 & 28.27 \
8.44 & 10.87 & 5.01 & 7.97 & 11.61
\end{array}$$
A) not normally distributed
B) normally distributed

Quizplus · Accepted Answer

Given the wide range of values and the presence of an outlier (28.27, which is significantly higher than the rest), the distribution is likely not normally distributed. Normal distributions have a symmetric shape and outliers are rare, which does not seem to fit this data set.

The Following Data Represent a Random Sample of the Number