Cambridge International Mathematics

704 ANSWERS

EXERCISE 17B

1a b 86 t< 12

c ¼ 7 : 26 min

2a b 656 m< 70

c ¼ 61 : 4 kg

3a b 356 d< 45

c ¼ 41 : 1 m

4 430 employees

EXERCISE 17C

1

a 32 min b 80 c 28 min d IQR=10min

2a 120 b 29 kg c 48 d 17 : 5 kg

3a

b 57% c 38 : 6 cm d 3 : 0 cm

e 37 : 6 cm.35%of the lengths are less than or equal to this

value.

f ¼ 38 : 3 cm g negatively skewed

4a

biAlan, ¼ 910 ; John, ¼ 830

iiAlan, ¼ 310 ; John, ¼ 290

c Alan, ¼ 970 ; John, ¼ 890

d Alan’s cabbages are generally heavier than John’s. The spread

of each data set is about the same.

5a

b ¼ 210 min

c 1712 min. This is the length of time in which the middle50%

of the data lies.

d ¼ 20 esymmetrical

6a i 4 kg

ii 2 : 0 kg

c ¼ 4 : 25 kg

b Weight (wgrams) Freq. Cum. Freq.

06 w<11 1

16 w<22 3

26 w<35 8

36 w<412 20

46 w<58 28

56 w<66 34

66 w<73 37

76 w<82 39

86 w<91 40

0

5

10

15

20

024681012

frequency density t(min)

0 m(kg)

5

10

15

20 30 40 50 60 70 80

frequency density

0

1

2

3

4

20 30 40 50 60 70 80 90

frequency density d(m)

0

20

40

60

80

100

120

140

160

180

20 25 30 35 40 45 50

time ( min)t

cumulative frequency

Cumulative frequency graph of race data

0

5

10

15

20

25

30

35

30 32 34 36 38 40 42 44

cumulative frequency

length (cm)

Cumulative frequency graph of trout length

0

20

40

60

80

100

120

400 550 700 850 1000 1150 1300

John

Alan

weight ( grams)w

percentiles

Cumulative frequency graph of cabbage weight data

0

20

40

60

80

100

120

140

160

180

175 190 205 220 235 250

Cumulative frequency graph of Ben Nevis climb data

cumulative frequency

time (min)

IB MYP_3 ANS

cyan magenta yellow black

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_an\704IB_IGC1_an.CDR Friday, 21 November 2008 9:25:46 AM PETER