# Weighted Absolute Reports

Types of Reports

373

The following figure shows the last few lines of a Relative report:

**Weighted Relative Reports**

This report is the same as the Relative report, except that it also lists the weighted

geometric mean.

To define a Weighted Relative report:

s

Click

**Reports > New > Compare Performance**

, and then select the

**Value relative to **

**base report **

and the

**Weighted by count of base report samples**

options.

The weighted geometric mean differs from the geometric mean in that it takes into

account the frequency with which the different command IDs occur. Frequently used

command IDs have a greater influence on the weighted geometric mean than

infrequently used ones--in contrast to the geometric mean, where all command IDs

have equal influence.

The weight applied when calculating the weighted geometric mean for each

command ID equals the number of valid responses for that ID in each report being

compared. If the number of valid responses for a command ID differs among the

reports, the smallest nonzero count is used as its weight.

Mathematically, the weighted geometric mean of a set of values

*x*

1

,

*x*

2

, ...,

*xk*

with

frequencies (weights) of

*f*

1

,

*f*

2

, ...,

*fk*

, where

*f*

1

+

*f*

2

+ ... +

*fk*

=

*N*

, is expressed as:

x

1

f

1

x

2

f

2

...x

k

f

k

(

)

1

N

/