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Date November 2020 Marks available 2 Reference code 20N.1.SL.TZ0.T_3
Level Standard Level Paper Paper 1 (with calculator from previous syllabus) Time zone Time zone 0
Command term Find Question number T_3 Adapted from N/A

Question

Hafizah harvested 49 mangoes from her farm. The weights of the mangoes, w, in grams, are shown in the following grouped frequency table.

Write down the modal group for these data.

[1]
a.

Use your graphic display calculator to find an estimate of the standard deviation of the weights of mangoes from this harvest.

[2]
b.

On the grid below, draw a histogram for the data in the table.

[3]
c.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure. It appeared in a paper that permitted the use of a calculator, and so might not be suitable for all forms of practice.

400w<500        (A1)   (C1)


Note: Accept alternative notation [400, 500) or [400, 500[.
Do not accept "400-500".


[1 mark]

a.

115   115.265(g)        (A2)   (C2)


Note: Award (A1)(A0) for an answer of 116 116.459.


[2 marks]

b.

        (A2)(A1)   (C3)


Note: Award (A2) for all correct heights of bars or (A1) for three or four correct heights of bars.
Award (A1) for rectangular bars all with correct left and right end points (100, 200, 300, 400, 500 and 600) and for no gaps; the bars do not have to be shaded.
Award at most (A2)(A0) if a ruler is not used for all lines.


[3 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 4—Statistics and probability » SL 4.2—Histograms, CF graphs, box plots
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Topic 4—Statistics and probability » SL 4.3—Mean, median, mode. Mean of grouped data, standard deviation. Quartiles, IQR
Topic 4—Statistics and probability

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