There Are 18 Roller Coasters in Virginia for Which the Lengths

question 7

Essay

There are 18 roller coasters in Virginia for which the lengths (in feet) were reported. Those lengths are listed in the table at the right.

$\begin{array}{|l|l|l|l|l|l|}\hline 1385 & 2757 & 2835 & 2231 & 3828 & 1312 \\\hline 3369 & 3240 & 5100 & 3157 & 2700 & 600 \\\hline\end{array}$

a. Sketch a histogram for these data.
b. Find the mean and standard deviation of the roller coaster lengths.
c. Is it appropriate to use the mean and standard deviation to summarize these data?
Explain.
d. Describe the distribution of roller coaster lengths.

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Definitions:

Manufacturing Overhead

Costs incurred in the manufacture of a product which are not directly traceable to specific units produced, such as utility costs and maintenance expenses.

Overhead Volume Variance

The difference between the budgeted and actual volume of overhead costs.

Direct Labor Hours

The total hours worked by employees directly involved in the manufacturing of products or in providing services.

Budgeted Overhead

Budgeted overhead is the estimated total cost of all overhead expenses planned for a specific period in the future.