Final answer:
The data set that is discrete among the given options is the 'capacity (number of seats) of each theatre' as it is countable in whole numbers, while the other options represent continuous data.
option d is the correct
Step-by-step explanation:
The student has asked which one of the following data sets is discrete:
- Maximum distance from seat to screen in each theatre.
- Diagonal measurement of the screen in each theatre.
- Floor area of each theatre.
- Capacity (number of seats) of each theatre.
When analyzing the options provided, we are looking for data that can be counted in whole numbers. Option 1, the maximum distance from seat to screen, and option 2, the diagonal measurement of the screen, both represent measurements that can take any value within a range, making them continuous data. Option 3, the floor area, also represents a measurement that is continuous. However, option 4, the capacity (number of seats) of each theatre, is countable in whole numbers, making it a discrete data set.
Discrete data involves countable quantities, such as the number of books, tickets sold, DVD rentals, or in this case, seats in a theatre. Continuous data involves measurements that are not countable and can take any value within a range, such as distances or areas.