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Date May 2013 Marks available 4 Reference code 13M.2.hl.TZ1.1
Level HL only Paper 2 Time zone TZ1
Command term Find Question number 1 Adapted from N/A

Question

The marks obtained by a group of students in a class test are shown below.

 

 

Given the mean of the marks is 6.5, find the value of k.

Markscheme

\(\frac{{5 \times 6 + 6k + 7 \times 3 + 8 \times 1 + 9 \times 2 + 10 \times 1}}{{13 + k}} = 6.5\) (or equivalent)     (M1)(A1)(A1)

Note: Award (M1)(A1) for correct numerator, and (A1) for correct denominator.

 

\(0.5k = 2.5 \Rightarrow k = 5\)     A1

[4 marks]

Examiners report

The question was well done generally as one would expect.

Syllabus sections

Topic 5 - Core: Statistics and probability » 5.1 » Concepts of population, sample, random sample and frequency distribution of discrete and continuous data.

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