## Modal & Mean Guests

 Difficulty: Rating: GCSE Marks:

GCSE Text:
A holiday resort has 220 log cabins, with each one able to accommodate up to 6 people. The number of people actually staying on site currently is shown in this table:

a) What is the modal number of guests per cabin?

b) How many guests are staying on site currently?

c)  What is the average (mean) number of guests per cabin?

Suggestions:
This is a simple video for students who have learned how to calculate statistics from tables. There is more information in the question than actually needed for the 3 questions, but this is to provide many extension opportunities, and to test a students’ ability to select the correct data to use.  This calculator question takes most students less than 4 minute to solve, and as such, the extension questions often work well to stretch more able students.

Extension Ideas:

Teachers could extend the learning by considering:

• What is the range of guests per cabin? (careful to think about whether 1 person is the actual minimum occupancy right now)
• If any unoccupied cabins could be rented at a ‘last minute’ rate of £425 per cabin per week, how much money could be made this week if all unoccupied cabins were filled?
• How many more people could stay on site before reaching full capacity?