Applying Maths to solve problems in the real world…

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?