$1\mathrm{.}12[10/10/$Discussion$/10/20/$Discussion Make the following calculations on

the raw data in order to explore how different measures color the conclusions one

can make. $($Doing these exercises will be much easier using a spreadsheet.$)$

a Create a table similar to that shown in Figure $1\mathrm{.}26,$ except express

the results as normalized to the Pentium D for each benchmark.

b Calculate the arithmetic mean of the performance of each proces$-$

sor. Use both the original performance and your normalized performance cal$-$

culated in part $($a$).$

c$.[$Discussion Given your answer from part $($b$),$ can you draw any con$-$

flicting conclusions about the relative performance of the different proces$-$

sors?

d Calculate the geometric mean of the normalized performance of

the dual processors and the geometric mean of the normalized performance

of the single processors for the Dhrystone benchmark. $\backslash$begin$\{$tabular$\}\{$lcccc$\}$

$\backslash$hline Chip & $\backslash$# of cores & $\backslash$begin$\{$tabular$\}\{$c$\}$

Clock frequency $\backslash \backslash$

$\backslash ((\backslash$mathrm$\{$MHz$\})\backslash )$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Memory $\backslash \backslash$

performance

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Dhrystone $\backslash \backslash$

performance

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline Athlon $64$ X$24800+$ & $2$ & $2,400$ & $3,423$ & $20,718\backslash \backslash$

$\backslash$hline Pentium EE $840$ & $2$ & $2,200$ & $3,228$ & $18,893\backslash \backslash$

$\backslash$hline Pentium D $820$ & $2$ & $3,000$ & $3,000$ & $15,220\backslash \backslash$

$\backslash$hline Athlon $64$ X$23800+$ & $2$ & $3,200$ & $2,941$ & $17,129\backslash \backslash$

$\backslash$hline Pentium $4$ & $1$ & $2,800$ & $2,731$ & $7,621\backslash \backslash$

$\backslash$hline Athlon $643000+$ & $1$ & $1,800$ & $2,953$ & $7,628\backslash \backslash$

$\backslash$hline Pentium $4570$ & $1$ & $2,800$ & $3,501$ & $11,210\backslash \backslash$

$\backslash$hline Processor X & $1$ & $3,000$ & $7,000$ & $5,000\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Figure $1\mathrm{.}26$ Performance of several processors on two benchmarks.