## Ferry Vehicle Lengths

 Difficulty: Rating: GCSE Marks:

GCSE Text:
The vehicle lengths that are travelling on a Ferry to France are shown in this table:

a) Which group contains the median vehicle length?

b) Estimate the mean vehicle length

c) What percentage of the vehicles are greater than 6 metres in length?

Suggestions:
This is a question created to practise a common GCSE Maths question. Students need to remember how to handle ranges instead of discrete data statistical calculations.  Students often take 3-4 minutes to answer this question, and marks will of course be awarded for workings and partial answers.

Teachers could extend the learning by considering:

• Vehicles up to and including 5 metres in length travel for a cost of £65 one way or £125 return. Vehicles greater than 5 metres up to and including 10 metres travel for a cost of £95 one way or £165 return. Vehicles larger than 10 metres cost £150 one way or £230 return.  Calculate the income to the Ferry company for all the vehicles in the table if they are all on a return ticket.