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16N.1.SL.TZ0.T_2

pestleMathematicsAASLPaper 116N· sl-4-2-histograms-cf-graphs-box-plotssource ↗

A sample of 120 oranges was tested for Vitamin C content. The cumulative frequency curve below represents the Vitamin C content, in milligrams, of these oranges.

N16/5/MATSD/SP1/ENG/TZ0/02

The minimum level of Vitamin C content of an orange in the sample was 30.1 milligrams. The maximum level of Vitamin C content of an orange in the sample was 35.0 milligrams.

Giving your answer to one decimal place, write down the value of

(i)     the median level of Vitamin C content of the oranges in the sample;

(ii)     the lower quartile;

(iii)     the upper quartile.

[3]
a.

Draw a box-and-whisker diagram on the grid below to represent the Vitamin C content, in milligrams, for this sample.

N16/5/MATSD/SP1/ENG/TZ0/02.b

[3]
b.
Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

(i)     32.5     (A1)

(ii)     31.9     (A1)

(iii)     33.1     (A1)     (C3)

 

Note:     Answers must be given correct to 1 decimal place.

 

[3 marks]

a.

N16/5/MATSD/SP1/ENG/TZ0/02.b/M

Note:     Award (A1)(ft) for correct median, (A1)(ft) for correct quartiles and box, (A1) for correct end points of whiskers and straight whiskers.

Award at most (A1)(A1)(A0) if a horizontal line goes right through the box or if the whiskers are not well aligned with the midpoint of the box.

Follow through from part (a).

 

[3 marks]

b.
Examiners’ report
[N/A]
a.
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b.