Final answer:
The number of pieces of luggage damaged per day is a quantitative customer-defined service standard, which refers to numeric and measurable data defining service performance.
Step-by-step explanation:
The number of pieces of luggage damaged per day is a quantitative customer-defined service standard. This type of data is numeric and thus can be measured and expressed using numbers. Quantitative standards are important in a business context as they allow for the measurement and analysis of service performance. For example, in the given scenario, if you record that five pieces of luggage were damaged on Monday and two on Tuesday, you are dealing with a quantifiable aspect of customer service which can be tracked and improved upon.
Other examples help differentiate between types of data. For instance, stating that 'Gold metal is yellow' is a qualitative description as it describes a characteristic without using numeric data. Conversely, 'A ream of paper has 500 sheets in it' is a quantitative discrete description as it involves an exact numeric value that is countable. The number of pieces of luggage damaged per day is a qualitative customer-defined service standard.