Question about hint given by the problem related to statistics

[songoku]

Homework Statement

Please see the picture below

Relevant Equations

None

I want to ask about the "problem-solving" box on the right.

I don't understand why the class boundaries for the 16 - 25 group are 16 and 26. If I try to find it using my usual way, it will be 15.5 and 25.5 and the midpoint will be (15.5 + 25.5) / 2 = 20.5

Or if I use the hint "since age is always rounded down", I will take the boundaries to be 15 (rounded from 15.5) and 25 (rounded down from 25.5) and the midpoint will be (15 + 25) / 2 = 20

Thanks

 

[PeroK]

What age might the oldest person be in the 16-25 category?

 

[songoku]

What age might the oldest person be in the 16-25 category?

25 years old

 

[PeroK]

25 years old

What does that mean? 25 years exactly? 25 years and a day? Older than that?

 

[songoku]

What does that mean? 25 years exactly? 25 years and a day? Older than that?

I think the oldest would be 25 years and 364 days

 

[PeroK]

I think the oldest would be 25 years and 364 days

If you were thinking mathematically would you say that person is much nearer to 26 than 25? And that using the common convention of calling them 25 is mathematically inaccurate?

Isn't that precsiely what the text in the pink box is telling you?

 

[songoku]

If you were thinking mathematically would you say that person is much nearer to 26 than 25? And that using the common convention of calling them 25 is mathematically inaccurate?

Isn't that precsiely what the text in the pink box is telling you?

Ah, I misunderstood the meaning.

Thank you very much PeroK