The sub$-$module on Computer performance metrics defines the geometric mean, the harmonic

mean and the arithmetic mean as techniques for assessing the performance of a group of

programs. Some processors, especially those used in laptops or mobile devices, can run at a

lower rate to conserve power and extend battery charge.

Suppose that such a processor runs in the slower low power mode and executes $2,520,000$

instructions for a program in $14$ milli$-$seconds.

Next the processor switches to the higher speed mode and executes the same program

instructions again. This second execution at the higher speed takes only $9$ milli$-$seconds. Answer

the following questions and show how you obtained your answer for each:

a$)(5)$ What is the native MIPS rating for the program in the slower low power mode?

b$)(5)$ What is the native MIPS rating for the program in the higher speed mode?

c$)(5)$ What is the arithmetic mean of these two native MIPS ratings?

d$)(5)$ What is the harmonic mean of the two native MIPS ratings?

e$)(5)$ What is the geometric mean of the two native MIPS ratings?

f$)(5)$ The same $2,520,000$ instructions are executed in both modes. Compute the MIPS rating for

the combined two executions of the program. MIPS rating $=\_\_\_\_\_\_\_\_$