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Date May 2009 Marks available 1 Reference code 09M.1.sl.TZ2.3
Level SL only Paper 1 Time zone TZ2
Command term Write down Question number 3 Adapted from N/A

Question

The following table shows the number of errors per page in a 100 page document.

State whether the data is discrete, continuous or neither.

[1]
a.

Find the mean number of errors per page.

[2]
b.

Find the median number of errors per page.

[2]
c.

Write down the mode.

[1]
d.

Markscheme

Discrete     (A1)     (C1)

[1 mark]

a.

\(\frac{{0 + 24 + 40 + 51 + 44}}{{100}} = \frac{{159}}{{100}} = 1.59\)     (M1)(A1)     (C2)


Notes: Award (M1) for correctly substituted formula.

Award (M1)(A1) for 1 or 2 if 1.59 is seen.

Award (M0)(A0) for 1 or 2 seen with no working.

 

[2 marks]

b.

1     (M1)(A1)     (C2)


Note: Award (M1) for attempt to order raw data (if frequency table not used) or (M1) for indicating halfway between 50th and 51st result or (M1) for 50th percentile seen.

 

[2 marks]

c.

0     (A1)     (C1)

[1 mark]

d.

Examiners report

This question was not well answered by a number of candidates. In this part, many did not know that the data was discrete.

a.

This question was not well answered by a number of candidates. The most common error in this part was (0 + 1 + 2 + 3 + 4) / 5 = 2.

b.

This question was not well answered by a number of candidates.

c.

This question was not well answered by a number of candidates.

Many candidates did not know how to find the median and the most common incorrect answer for this part was 11.

d.

Syllabus sections

Topic 2 - Descriptive statistics » 2.5 » Measures of central tendency.
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