Weighted harmonic mean and geometric mean, Computer Engineering

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Problem

Show which of the weighted arithmetic mean, geometric mean or harmonic mean, you would use in each of the following case. Justify your answer in each case.

(a) An experiment where you have run the SPEC CPU2006 integer benchmark on your laptop and noted the execution times of each program in the suite.

(b) Same experiment as in (a), but now you also run the suite on a computer in your lab at the University. How do you compare the speeds of the two machines?

(c) An experiment where you have simulated 100 million instructions in each of 12 programs and measured CPI for each simulation.

(d) Same experiment as in (c), but now you report in terms of IPC. 

(e) Express the formulas for weighted arithmetic mean, weighted harmonic mean and geometric mean.


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