Exam-Style Problem

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Nov 2004 p6 q2
2413

The lengths of cars travelling on a car ferry are noted. The data are summarised in the following table.

Length of car \( x \) (metres) \( 2.80 \le x < 3.00 \) \( 3.00 \le x < 3.10 \) \( 3.10 \le x < 3.20 \) \( 3.20 \le x < 3.40 \)
Frequency 17 24 19 8
Frequency density 85 240 190 \( a \)

(i) Find the value of \( a \).

(ii) Draw a histogram on graph paper to represent the data.

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