Why it's continuous

Here's why:

• Discrete data consists of values that can be counted and are distinct and separate. There are gaps between possible values. For example, you can have 1 person, 2 people, or 3 people, but you cannot have 1.5 people attending a museum. Even though the numbers are large (in thousands), they still represent counts of whole individuals.
• Continuous data, on the other hand, can take any value within a given range and can be measured to an infinite degree of precision. Examples include height, weight, or temperature, where you can have values like 1.75 meters or 1.7532 meters.

Since museum attendance is a count of individual people, it falls under the definition of discrete data.