The average is the sum of all individual observations divided by the number of observations. In contrast, the weighted average is observation multiplied by the weight and added to find a solution.
- Is there a difference between average and weighted average?
- Should I use average or weighted average?
- What is a time-weighted average?
- Why do we use time-weighted average?
Is there a difference between average and weighted average?
In calculating a simple average, or arithmetic mean, all numbers are treated equally and assigned equal weight. But a weighted average assigns weights that determine in advance the relative importance of each data point. A weighted average is most often computed to equalize the frequency of the values in a data set.
Should I use average or weighted average?
Weighted averages assign importance (or weight) to each number. A weighted average can be more useful than a regular average because it offers more nuance. It reduces the weight of data that is less important, allowing more material data to have a more significant effect on the result.
What is a time-weighted average?
A time-weighted average is equal to the sum of the portion of each time period (as a decimal, such as 0.25 hour) multiplied by the levels of the substance or agent during the time period divided by the hours in the workday (usually 8 hours).
Why do we use time-weighted average?
Time-weighted average calculations are used in situations where the time of exposure to a hazardous substance or the concentration of that substance varies. It is also applicable to short-term samples, such as a 15-minute TWA. The caluclation can also consider particular variables, dose rates, and duration.