CAIE S1 2004 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2004
SessionNovember
TopicData representation
TypeCalculate frequency density from frequency
2 The lengths of cars travelling on a car ferry are noted. The data are summarised in the following table.
Length of car \(( x\) metres \()\)FrequencyFrequency density
\(2.80 \leqslant x < 3.00\)1785
\(3.00 \leqslant x < 3.10\)24240
\(3.10 \leqslant x < 3.20\)19190
\(3.20 \leqslant x < 3.40\)8\(a\)
  1. Find the value of \(a\).
  2. Draw a histogram on graph paper to represent the data.
  3. Find the probability that a randomly chosen car on the ferry is less than 3.20 m in length.
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