Investigative Question:

How does the height of year 11 males compare with year 11 females in the 2009 census at school database?

Inference: Answer your Investigative Question!

It is too close to call, I can not conclude that Year 11 males tend to be taller than year 11 females in the 2009 census at school database. I can justify this by the fact the the medians are less than a third of the overall visual spread apart.

OR

I can confidently state that Year 11 males tend to be taller than year 11 females in the 2009 census at school database. I can justify this with the fact that the medians are more than a third of the overall visual spread apart.

OR

I estimate the height of year 11 males in the 2009 census at school database to be 160cm.

I estimate the height of year 11 females in the 2009 census at school database to be 155cm.

These estimates are too close to each other for me to state that year 11 males tend to be taller than year 11 females in the 2009 census at school database.

AND

If I was given another sample of the same size, I would expect to get a different result.

When we look at a sample we see the population in an unclear, not exact, way.

We can make an educated guess, but we do not know for sure.

The bigger the sample size - the better the guess.

The smaller the sample size - the less accurate it will be.