The difference between the largest and the smallest data values is the Select one:A. PopulationB. Standard DeviationC. RangeD. Variance

Break Down the Problem

1. Identify the definitions of the terms: Population, Standard Deviation, Range, and Variance.
2. Determine which term corresponds to the description provided in the question.

Relevant Concepts

1. Population: Refers to the entire set of individuals or items you're interested in studying.
2. Standard Deviation: A measure of the amount of variation or dispersion in a set of values.
3. Range: The difference between the largest and smallest values in a data set.
4. Variance: The average of the squared differences from the mean, indicating the spread of numbers in a data set.

Analysis and Detail

• According to the definitions:
  • The term Range specifically refers to the calculation of the difference between the largest and smallest values in a dataset.
  • The other terms do not relate to the concept of measuring this difference.

Verify and Summarize

• To verify, consider a simple data set. If the smallest value is 5 and the largest value is 20, the range would be calculated as: $\text{Range} = \text{Largest Value} - \text{Smallest Value} = 20 - 5 = 15$
• This confirms that the term Range accurately captures the idea presented in the question.

Final Answer

The correct choice is C. Range.