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Date November 2009 Marks available 3 Reference code 09N.1.sl.TZ0.1
Level SL only Paper 1 Time zone TZ0
Command term Find Question number 1 Adapted from N/A

Question

The temperatures in °C, at midday in Geneva, were measured for eight days and the results are recorded below.

7, 4, 5, 4, 8, T, 14, 4

The mean temperature was found to be 7 °C.

Find the value of T.

[3]
a.

Write down the mode.

[1]
b.

Find the median.

[2]
c.

Markscheme

\(\frac{{7 + 4 + 5 + 4 + 8 + T + 14 + 4}}{8} = 7\)     (A1)(A1)


Note: Award (A1) for sum + T, (A1) for 56 or 7 × 8 or 8 in the denominator and 7 seen.

 

T = 10     (A1)     (C3)

[3 marks]

a.

4     (A1)     (C1)

[1 mark]

b.

4, 4, 4, 5, 7, 8, 10, 14     (M1)


Note: Award (M1) for arranging their numbers in order.


Median = 6     (A1)(ft)     (C2)

[2 marks]

c.

Examiners report

This question was well answered by most candidates.

a.

This question was well answered by most candidates.

b.

This question was well answered by most candidates.

c.

Syllabus sections

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