Definition
Conclusion
A statement supported by evidence, calculations, or mathematical reasoning.
Continue from this idea into connected AXIO math.
Defining relationship
Show the trail, then state where it leads.
A conclusion is a statement reached and justified from evidence, calculations, definitions, or a chain of mathematical reasoning.
- 1
EVIDENCE
8, 10, 10, 12 minutes
These are the four recorded travel times.
- 2
CALCULATION
Find the mean
Add the values, then divide by four.
- 3
CONCLUSION
The average is 10 minutes
The statement explains what the calculation supports.
A conclusion needs the trail that supports it.
What it means
A conclusion tells what the work shows. It comes after the evidence or calculation, and another person should be able to follow the reason for it.
Remember it
Show the trail, then state where it leads.
Example
Four travel times are 8, 10, 10, and 12 minutes. Their mean is 10 minutes, so a supported conclusion is: “The average travel time in this data set is 10 minutes.”
Watch for
A guess with no evidence or reasoning is not a mathematical conclusion.
Common mix-up
A calculation is part of the evidence; the conclusion is the statement that explains what the calculation shows.
Exact meaning
A conclusion is a statement reached and justified from evidence, calculations, definitions, or a chain of mathematical reasoning.