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# Creative Arts

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NATIONAL SENIOR CERTIFICATE

MATHEMATICS P2 EXEMPLAR 2013 MEMORANDUM
MARKS: 150

This memorandum consists of 13 pages.

Mathematics/P2

2 NSC – Grade 11 Exemplar – Memorandum

DBE/2013

NOTE: • If a candidate answers a question TWICE, only mark the FIRST attempt. • If a candidate has crossed out an attempt of a question and not redone the question, mark the crossed out version. • Consistent accuracy applies in ALL aspects of the marking memorandum. • Assuming answers/values in order to solve a problem is NOT acceptable.

QUESTION 1 1.1 Mean = 1.2 1.3

∑x i =1

n

i

n

=

408 = 21,47 19

Standard deviation = 7,81 The one standard deviation limits are ( x − 1σ ; x + 1σ ) = (21,47 – 7,81; 21,47 + 7,81) = (13,66 ; 29,28) ∴ 13 people lie within 1 standard deviation of the mean. 5 21 12 22 13 23 15 23 18 26 18 29 18 33 19 35 20 37 21

 interval 13 people (2)  Q 1 = 18  Q 3 = 26 IQR = 8 (3) box whiskers

1.4

IQR = 26 – 18 =8 1.5

4 5

8

12

16 18 20 21 24 26 28

32

36 37 40

(3) reason 5 is an outlier (2) [14]

1.6

There is a marked difference between the lowest value (5) and the next lowest value (12) whilst the differences between all other data points are within at most 3 values. ∴ 5 is an outlier

Mathematics/P2

3 NSC – Grade 11 Exemplar – Memorandum

DBE/2013

QUESTION 2 2.1 Class 0≤m

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