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Time weighted average question

 
 
seals01
 
Reply Wed 31 Aug, 2011 03:17 pm
Hi experts,

I am looking for some help with a weighted average function. I am trying to work out the average time taken per incident, but I wish to weight or grade the incident types, The data:

Incident Occurences Weight Weighted Value
Incident A 1 45% 0.45
Incident B 72 5% 3.60
Incident C 138 5% 6.90
Incident D 49 5% 2.45
Incident E 11 10% 1.10
Incident F 15 10% 1.50
Incident G 56 10% 5.60
Incident H 5 10% 0.50

My calculations are as follows, obviously 45% of 1 gives 0.45 as a weighted total, all of the weight %'s sum to 100%, all of the weight values sum to 22.10. I am currently dividing the weight total (22.10 by 8) as there are 8 incident types? This gives me 2.76 this is then multiplied by the total number of incidents (347) which gives me a weighted total in hours of 959 hrs.

Am I correct in my assumptions/calculations or am I looking at this the wrong way.:dunno

Any help would be greatly appreciated:cool:

Cheers,

Seals
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seals01
 
  1  
Reply Wed 31 Aug, 2011 08:15 pm
@seals01,
Some further information:

I know that a person works 1710 hrs per year. The basic average would be 1710/347=4.93 hrs per incident/occurrence.

So I am trying to find out based on some incidents take longer (weighted) than others what the weighted average would be.
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engineer
 
  1  
Reply Wed 31 Aug, 2011 08:41 pm
@seals01,
I really don't understand the information you have posted, but if I read this correctly, you are saying for incident type A, it takes one hour to address the problem and 45% of all incidents are type A. If this is correct, the way you do a weighted average is to take the hours per event, multiply by the weighting factor, then divide by the total of the weighting factors. In this case, the total of the weighting factors is 100% = 1 so it falls out. The average time per incident is 22.1 hours/incident
seals01
 
  1  
Reply Wed 31 Aug, 2011 08:48 pm
@engineer,
Engineer,

Sorry about that, let me try a different approach:

There are two colums of actual statistics, the first is the incident/occurence type and the other is the number of incidents/occurences over a year. I am trying to work out the weighted average of time taken per incident.

Now I know the hours worked per year equals 1,710 hours, which of course means that on average (with no weighting) it takes approx 4.92 hrs per incident/occurence.

We also know that some incidents/occurrences take longer to resolve than others, hence the need for a weighting scale. I am hoping that this makes at least my intention a little clearer?

Cheers,

Seals
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