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Answers to all pages - Hodder Plus Home

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Model answers<br />

(d) (i)<br />

143<br />

4·3 minutes (4·2 <strong>to</strong> 4·5 is acceptable) (ii) 200 – 57 = 143, –––– = 0·715 (0·69 <strong>to</strong> 0·75 is acceptable)<br />

200<br />

4<br />

Age (x) in years 0 x 5 5 x 15 15 x 25 25 x 45 45 x 75<br />

Number of patients 14 41 59 70 16<br />

Frequency density 2·8 4·1 5·9 3·5 0·53<br />

6<br />

5<br />

Frequency density<br />

4<br />

3<br />

2<br />

1<br />

0<br />

10 20 30 40<br />

50<br />

60 70 80<br />

Age (years)<br />

5<br />

Time in minutes (t) 0 t 1 1 t 3 3 t 5 5 t 10 10 t 20<br />

Number of c<strong>all</strong>s 12 32 19 20 15<br />

Frequency density 12 16 9·5 4 1·5<br />

20<br />

Frequency per one minute interval<br />

15<br />

10<br />

5<br />

0<br />

0<br />

5 10 15 20<br />

Time (t minutes)<br />

6 Since area = frequency, missing frequencies are 20 × 1·4 = 28, 15 × 8·8 = 132, 15 × 7·2 = 108 and 30 × 2 = 60.<br />

Time (t minutes) 0–20 20–30 30–45 45–60 60–90<br />

Frequency 28 60 132 108 60<br />

IGCSE Revision Guide for Mathematics Model <strong>Answers</strong> © 2004, <strong>Hodder</strong> & S<strong>to</strong>ugh<strong>to</strong>n Educational<br />

25

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