
Try a small invented example
Statistics Canada defines the arithmetic mean as the sum divided by the number of values, and the median as the middle value after ordering the observations. For hypothetical values of ten, ten, ten, ten and sixty, the mean is twenty while the median is ten. Both calculations are correct, but they describe different features.
The example is deliberately artificial. It illustrates why a large value can pull the mean away from what many observations look like; it is not a claim about actual wages or prices.
Read the population and unit
Check whether the programme describes individuals, households, workers, transactions or another unit. A household value is not automatically comparable with a per-person value. Also keep the time unit: hourly pay, annual earnings and total income are different concepts.
For an income story, read whether the figures are before or after tax and which sources of income are included. The word average does not settle those definitions. A change in the population measured can produce a difference independently of the calculation used.
If the graphic reports a median, do not describe it as the amount everyone receives. It divides the ordered observations; individual values can be far above or below it.
Repeat the claim precisely
Save the statistic, population, period, currency or other unit and source. If two reports differ, compare these fields before comparing the numbers. A useful sentence says that the report gives the median for a defined group in a stated year, rather than simply calling it the national average.
When the source does not identify which average it uses, look for the underlying release or preserve the uncertainty. Do not choose a calculation to fit a preferred conclusion. This article explains news arithmetic and supplies no wage, investment or spending recommendation. The practical benefit is being able to tell another viewer exactly which summary was used and why a different valid summary may give another result.
A median is not the same as the most frequent value. If the programme means mode, preserve that separate term rather than substituting another kind of typical value.
Related questions
Can mean and median both be correct but different?
Yes. They summarise the same values in different ways.
Is the median what every person receives?
No. It identifies the middle of the ordered distribution.
Sources and scope
Scope notes distinguish published documentation, supplied information and editorial methods. They do not report a hands-on service test.
- Statistics Canada: central tendency — Official definitions of mean and median.
- Statistics Canada: central-tendency video — Explains differing sensitivity to extreme values.