The jersey numbers are data at the 

▼
 
 
level of​ measurement, but the ages are data at the 

▼
 
ratio

ordinal

nominal

interval
 
level of​ measurement, so 

▼
 
only the jersey

neither set of

only the age

both sets of
 
statistics are meaningful.

Let's break down the statements to choose the correct options.

1. **Jersey numbers**: These are typically used to identify players and do not have a true numerical value in the sense of order or magnitude. They are simply labels. Therefore, jersey numbers are at the **nominal** level of measurement.

2. **Ages**: Age is a numerical value that represents a real quantity, and it has a true zero point (i.e., someone can be 0 years old). It also allows for meaningful comparisons using ratios (e.g., a 20-year-old is twice as old as a 10-year-old). Thus, ages are at the **ratio** level of measurement.

Given these clarifications:

- Jersey numbers are at the **nominal** level of measurement.
- Ages are at the **ratio** level of measurement.
- Because ages are at the ratio level, meaningful statistics can be derived from them. Jersey numbers, being nominal, do not lend themselves to meaningful statistical analysis in the same way.

So the correct answers are:

1. **Nominal**
2. **Ratio**
3. **Only the age**

Thus, the complete statement would be:

"The jersey numbers are data at the **nominal** level of measurement, but the ages are data at the **ratio** level of measurement, so **only the age** statistics are meaningful."

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Do you want more details or have any questions about this?  
Here are five related questions you might find helpful:

1. What are the other levels of measurement besides nominal and ratio?
2. Can you give examples of data at the ordinal level of measurement?
3. What statistical methods are appropriate for nominal data?
4. How does interval data differ from ratio data?
5. Why is it important to know the level of measurement when analyzing data?

**Tip:** Always identify the level of measurement before applying statistical techniques, as this determines which methods are appropriate and meaningful.

Explore the levels of measurement in statistics: nominal and ratio. Learn why jersey numbers are nominal data and ages are ratio data, affecting the meaningfulness of statistical analysis. Ideal for students and researchers studying statistics.

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