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Date May 2011 Marks available 2 Reference code 11M.2.hl.TZ1.1
Level HL only Paper 2 Time zone TZ1
Command term Estimate Question number 1 Adapted from N/A

Question

The cumulative frequency graph below represents the weight in grams of 80 apples picked from a particular tree.


Estimate the

(i)     median weight of the apples;

(ii)     30th percentile of the weight of the apples.

[2]
a.

Estimate the number of apples which weigh more than 110 grams.

[2]
b.

Markscheme

(i)     median = 104 grams     A1

Note: Accept 105.

 

(ii)     30th percentile = 90 grams     A1

[2 marks]

a.

\(80 − 49\)     (M1)

\(= 31\)     A1

Note: Accept answers 30 to 32.

 

[2 marks]

b.

Examiners report

On a very straightforward question there were many correct answers. However, there was evidence that some candidates had not previously encountered cumulative frequency graphs and hence scored low marks on the question.

a.

On a very straightforward question there were many correct answers. However, there was evidence that some candidates had not previously encountered cumulative frequency graphs and hence scored low marks on the question.

b.

Syllabus sections

Topic 7 - Option: Statistics and probability » 7.1 » Cumulative distribution functions for both discrete and continuous distributions.
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