Question

A purchasing committee has rated 4 systems on 4 criteria as follows:

	Compatibility with existing systems	Ease of use	Cost	Reputation
System A	60	10	50	80
System B	50	70	0	60
System C	80	60	90	40

Standardize the attribute ratings.

Answer 1

Solution:-

Standardization

	Compatibility with existing systems	Ease of use	Cost	Reputation
System A	60	10	50	80
System B	50	70	0	60
System C	80	60	90	40
Mean()	60+50+80=190/3=63.33	10+70+60=140/3=46.66	50+0+90=140/3=46.66	80+60+40=180/3=60
Standard deviation()	12.47	26.24	36.82	16.32
Standardize	-0.27	-1.38	0.09	1.23

Finding Variance() for Compatibility with existing systems:-

Finding Standard deviation() for Compatibility with existing systems:-

Standard deviation() =

=

Standard deviation() =12.47

To standardize the Compatibility with existing systems,

Finding Variance() for ease of use:-

Finding Standard deviation() for ease of use:-

Standard deviation() =

=

= 26.24

To standardize the ease to use ,

Finding Variance() for Cost:-

Finding Standard deviation() for cost:-

Standard deviation() =

=

= 36.82

To standardize the To standardize the Cost,

Finding Variance() for reputation:-

Finding Standard deviation() for reputation:-

Standard deviation() =

=

= 16.32

To standardize the To standardize the Cost,