Question 1

Here is some sample data that is already in a stem-and-leaf plot:

1 | 2 2 | 3 | 5 6 4 | 0 6 7 8 5 | 0 0 3 7 9 6 | 1 2 3 7 Key: 3|1 is 31

Find the following, up to 3 decimal places where necessary.

a. Median =

b. Range =

c. What is the shape of this data?

• Right-Skewed
• Symmetric
• Left-Skewed

Question 2

The physical plant at the main campus of a large state university receives daily requests to replace florescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 48 and 55? Answer =

Question 3

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 60 and a standard deviation of 4. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 52 and 64?

Answer =

Question 4

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 53 months and a standard deviation of 6 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 35 and 47 months?

Answer =

Question 5

The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 53 and a standard deviation of 9. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 53 and 80? Answer =

Question 6

The physical plant at the main campus of a large state university receives daily requests to replace florescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 11. Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement requests numbering between 5 and 38?

Answer =

Please, answer the question in sequentially. Thank you.