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When we encounter data in surveys like the one discussed, it's often important to determine the type of data being collected. Categorical data refers to information that can be sorted into categories, but not necessarily quantified with numbers that measure size or quantity.
In our survey example, data on how business travelers make travel arrangements is categorical. Why? Because it identifies what method travelers used—such as a travel agent or an online site—without implying a numerical value to these methods. Each category, or "label," groups individuals based on a shared trait or characteristic.
This kind of data is qualitative, as it can only represent categories or names. For example, if travelers used a travel agent, this information is grouped under one label while those who used an online site are grouped under another. Understanding whether data is categorical helps us choose appropriate analysis methods, such as mode or percentage, rather than measures of central tendency used for numerical data.

Survey analysis is crucial in understanding trends and behaviors within a particular population. When conducting a survey, we often gather data from a sample group to make inferences about the larger population.
In the provided exercise, the survey involved 430 travelers, which is a sample representation of a much larger population of business travelers. By analyzing survey results, firms can estimate the usage of travel methods, like travel agents or online travel sites. In this way, surveys help businesses cater to their target audience more effectively by highlighting their preferences.
Effective survey analysis involves calculating key statistics, recognizing patterns, and drawing conclusions based on the sample data. The results, like percentages of usage for different travel methods, are instrumental for businesses seeking to adapt their services to meet customer needs.

Calculating percentages plays a pivotal role in survey analysis, especially when conveying data findings in a comprehensible and comparative manner. A percentage is a way of expressing a number as a fraction of 100 and is vital for comparing parts of a whole.
In the exercise, the percentage representing the number of business travelers using a travel agent is calculated by dividing the number of travelers using the service by the total number of survey participants, and then multiplying by 100. The formula looks like this: \[ \text{Percentage} = \left( \frac{155}{430} \right) \times 100 \% \approx 36.05\% \]This calculation tells us that about 36% of surveyed business travelers used a travel agent.
Similarly, to determine how many travelers used an online site, given 44% made arrangements this way, we multiply the percentage by the total number of travelers in the sample: \[ \text{Number} = 0.44 \times 430 \approx 189 \]. Such calculations simplify data interpretation and are necessary for making data-driven decisions.