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Date November 2012 Marks available 2 Reference code 12N.1.sl.TZ0.3
Level SL only Paper 1 Time zone TZ0
Command term Calculate Question number 3 Adapted from N/A

Question

The length, in cm, of six baseball bats was measured. The lengths are given below.

104.5, 105.1, 104.8, 105.2, 104.9, 104.9

Calculate the exact value of the mean length.

[2]
a.

Write your answer to part (a) in the form a × 10k where 1 ≤ a < 10 and kZ.

[2]
b.

Marian calculates the mean length and finds it to be 105 cm.

Calculate the percentage error made by Marian.

[2]
c.

Markscheme

(104.5+105.1+...6)     (M1)

Note: Award (M1) for use of mean formula.

= 104.9 (cm)     (A1)     (C2)

[2 marks]

a.

1.049 × 102     (A1)(ft)(A1)(ft)     (C2)

Notes: Award (A1)(ft) for 1.049, (A1)(ft) for 102. Follow through from their part (a).

[2 marks]

b.

105104.9104.9×100  (%)     (M1)

Notes: Award (M1) for their correctly substituted % error formula.


% error = 0.0953  (%)     (0.0953288...)     (A1)(ft)     (C2)

Notes: A 2sf answer of 0.095 following 105104.9105×100 working is awarded no marks. Follow through from their part (a), provided it is not 105. Do not accept a negative answer. % sign not required.

[2 marks]

c.

Examiners report

Another well answered question with candidates showing a good understanding of standard form and many correct answers were seen in parts (a) and (b). Whilst the formula is given for percentage error, there were still a minority of candidates who divided by 105 rather than the required value of 104.9.

a.

Another well answered question with candidates showing a good understanding of standard form and many correct answers were seen in parts (a) and (b). Whilst the formula is given for percentage error, there were still a minority of candidates who divided by 105 rather than the required value of 104.9.

b.

Another well answered question with candidates showing a good understanding of standard form and many correct answers were seen in parts (a) and (b). Whilst the formula is given for percentage error, there were still a minority of candidates who divided by 105 rather than the required value of 104.9.

c.

Syllabus sections

Topic 1 - Number and algebra » 1.2 » Percentage errors.
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