state whether the data described below are discrete or​ continuous, and explain why.

1 day ago 5
Nature

The data can be classified as either discrete or continuous based on their characteristics:

  • Discrete data consists of distinct, countable values, typically integers, such as the number of students in a class or the number of theaters in a cinema. These are countable items that cannot take on values between integers (e.g., you cannot have 2.5 theaters).
  • Continuous data can take any value within a given range or interval, including fractions and decimals. These are measurable values that can theoretically have infinite decimal places, such as height, weight, or time (e.g., 1.75 minutes, 58.3 kg).

The key distinction is that discrete data represent countable, separate values, while continuous data represent measurable variables that can take any value within an interval. If there is specific data in question, this distinction can be applied by checking whether the data values are countable integers (discrete) or measurable quantities within intervals (continuous).