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Date November 2013 Marks available 2 Reference code 13N.1.sl.TZ0.4
Level SL only Paper 1 Time zone TZ0
Command term Find Question number 4 Adapted from N/A

Question

240240 cars were tested to see how far they travelled on 1010 litres of fuel. The graph shows the cumulative frequency distribution of the results.


Find the median distance travelled by the cars.

[2]
a.

Calculate the interquartile range of the distance travelled by the cars.

[2]
b.

Find the number of cars that travelled more than 130130 km.

[2]
c.

Markscheme

Q2=119 kmQ2=119 km     (M1)(A1)     (C2)

 

Note: Award (M1) for indication on graph of correct position of median.

 

[2 marks]

a.

Q1=114 and Q3=123Q1=114 and Q3=123     (A1)

 

Note: Award (A1) for correct quartiles seen.

 

99     (A1)     (C2)

[2 marks]

b.

240220240220     (M1)

 

Note: Award (M1) for 220220 seen.

 

=20=20     (A1)     (C2)

[2 marks]

c.

Examiners report

Many candidates gained full marks on this question although a significant number could not find the interquartile range.

a.

Many candidates gained full marks on this question although a significant number could not find the interquartile range.

b.

Many candidates gained full marks on this question although a significant number could not find the interquartile range.

c.

Syllabus sections

Topic 2 - Descriptive statistics » 2.4 » Cumulative frequency tables for grouped discrete data and for grouped continuous data; cumulative frequency curves, median and quartiles
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