Cambridge International Mathematics

116 Graphs, charts and tables (Chapter 5)

9 Following weekly lessons, Guy’s golf scores on successive Saturdays were:

98 96 92 93 89 90 88 85 and 84

a Which is more appropriate to draw for this data; a line graph or scatterplot?

b Graph the data appropriately.

10 A test score out of 60 marks is recorded for a group of 45 students:

34 37 44 51 53 39 33 58 40 42 43 43 47 37 35

41 43 48 50 55 44 44 52 54 59 39 31 29 44 57

45 34 29 27 18 49 41 42 37 42 43 43 45 34 51

a Construct a stem-and-leaf plot for this data using 0 , 1 , 2 , 3 , 4 , and 5 as the stems.

b Redraw the stem-and-leaf plot so that it is ordered.

c What advantage does a stem-and-leaf plot have over a frequency table?

d What is the i highest ii lowest mark scored for the test?

e If an ‘A’ is awarded to students who scored 50 or more for the test, what percentage of students

scored an ‘A’?

f What percentage of students scored less than half marks for the test?

Two distributions can be compared by using:

² side-by-side bar charts

orcompound bar charts

² back-to-back bar charts ² back-to-back stem-and-leaf plots

12 6

4 11 237

7110 6788

9876653320 9 0345579

75321 8 22458

20 7 056

6 1

Key: 6 j 1 means 61

Suppose two machines A

and B in a factory were

tested each day for 60

days to see how many

faulty screw caps they

produced. The results

can be summarised in a

frequency table. The

frequencyof each outcome

is the number of times it

occurs.

Machine A

Number faulty Frequency

2 1

3 0

4 4

5 16

6 24

7 6

8 5

9 2

10 0

11 0

12 1

13 1

Machine B

Number faulty Frequency

3 2

4 3

5 5

6 5

7 10

8 11

9 20

10 3

11 1

B GRAPHS WHICH COMPARE DATA [11.3]

frequency

frequency

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Y:\HAESE\IGCSE01\IG01_05\116IGCSE01_05.CDR Tuesday, 18 November 2008 11:17:36 AM PETER