O-LevelMathematicsStatistics4024/12 · May/June 2016 · Q235 Marks

The table and histogram show some information about the times taken by a group of students to travel to school one day. Time (t minutes) | 0 < t ≤ 10 | 10 < t ≤ 20 | 20 < t ≤ 30 | 30 < t ≤ 60 | 60 < t ≤ 120 -----------------|------------|-------------|-------------|-------------|------------- Frequency | 28 | 40 | 52 | 18 | m

(a)Complete the histogram. [Figure 23.1][2]
(b)Find the value of m.[1]
(c)Work out the fraction of students who took more than half an hour to travel to school.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

[2] (a) Two correct bars drawn C1 for rectangle base 0 to 10 height 2.8 or for rectangle base 30 to 60 height 0.6
[1] (b) 12
[2ft*] (c) 30/150 oe or (18+m)/(138+m) oe evaluated B1 FT for fraction with numerator or denominator correct or for answer 20% or 0.2

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