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Date November Example question Marks available 1 Reference code EXN.1.SL.TZ0.4
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term Find Question number 4 Adapted from N/A

Question

A food scientist measures the weights of 760 potatoes taken from a single field and the distribution of the weights is shown by the cumulative frequency curve below.

Find the number of potatoes in the sample with a weight of more than 200 grams.

[2]
a.

Find the median weight.

[1]
b.i.

Find the lower quartile.

[1]
b.ii.

Find the upper quartile.

[1]
b.iii.

The weight of the smallest potato in the sample is 20 grams and the weight of the largest is 400 grams.

Use the scale shown below to draw a box and whisker diagram showing the distribution of the weights of the potatoes. You may assume there are no outliers.

 

[2]
c.

Markscheme

* This sample question was produced by experienced DP mathematics senior examiners to aid teachers in preparing for external assessment in the new MAA course. There may be minor differences in formatting compared to formal exam papers.

760-420=340(g)        (M1)A1

 

[2 marks]

a.

Median =190(g)        A1

 

[1 mark]

b.i.

Lower quartile =135-140(g)        A1

 

[1 mark]

b.ii.

Upper quartile =242-247(g)        A1

 

[1 mark]

b.iii.

        M1A1

 

Note: The M1 is for a box and whisker plot and the A1 for all 5 statistics in the right places.

 

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.i.
[N/A]
b.ii.
[N/A]
b.iii.
[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

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