The mean lifetime represents the average lifetime of an atomic nucleus in a radioactive sample.
It is the time, calculated statistically, that a radioactive nucleus in a sample can exist without transforming itself into another one.


  

The mean lifetime is inversely proportional to the radioactive constant and it is an invariable characteristic for a determined decay of each type of radioactive nucleus.

The years that the individual of a group (region, country, etc.) "can live" is the average life-time of this population. If we add up the ages of all the people who have died in a year (or in another period of time) and we divide it by the total number of individuals we have found the arithmetic average of their lives.

We can do the same thing to calculate how long any atom in a population of atoms experiencing a type of decay can last. If you access the following visual, you can see how the mean lifetime and the radioactive constant are related.  

 

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