Cambridge International Mathematics

Graphs, charts and tables (Chapter 5) 115

2 A factory produces three types of toy cars: Astons, Bentleys, and Corvettes. The annual sales are:

Toy car make Aston Bentley Corvette

Sales(thousands of$) 65 30 25

a Find the sector angles for each category. b Construct a pie chart for the data.

3 The midday temperature and daily rainfall were measured every day for one week in Kingston. The

results are summarised in the table below:

Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday

Temperature(oC) 23 20 18 25 27 24 26

Rainfall(mm) 8 4 2 12 10 9 1

Draw a vertical bar chart to illustrate the temperature readings and a horizontal bar chart to illustrate

the rainfall readings.

5 The data set below is the test scores (out of 100 ) for a Science

test for 50 students.

92 29 78 67 68 58 80 89 92 69 66 56 88

81 70 73 63 55 67 64 62 74 56 75 90 56

59 64 89 39 51 87 89 76 59 47 38 88 62

72 80 95 68 80 64 53 43 61 71 44

a Construct a stem-and-leaf plot for this data.

b What percentage of the students scored 80 or more for the test?

c What percentage of students scored less than 50 for the test?

6 In a pie chart onleisure activitiesthe sector angle forice skatingis 34 o. This sector represents 136

students.

a The sector angle forwatching televisionis 47 o. How many students watch television for leisure?

b If 38 studentsvisit friends, what sector angle would represent them?

c How many students were used in the sample?

7 The length of the shadow cast by a tree was measured at hourly intervals:

Time 0800 0900 1000 1100 1200 1300 1400 1500 1600

Shadow length (m) 30 20 12 6 2 5 10 17 25

a Is it more appropriate to use a scatter diagram or a line graph to display this data?

b Display this data on your chosen graph.

Stem Leaf

0 137

1 0347889

2 00122355689

3 244589

4 3 Key: 3 j 2 means 32

8 For the ordered stem-and-leaf plot given, find:

a the minimum value

b the maximum value

c the number of data with a value greater than 25

d the number of data with a value of at least 40

e the percentage of the data which is less than 15 :

4aDraw a stem-and-leaf plot using stems 2 , 3 , 4 , and 5 for the following data:

29 , 27 , 33 , 30 , 46 , 40 , 35 , 24 , 21 , 58 , 27 , 34 , 25 , 36 , 57 , 34 , 42 , 51 , 50 , 48

b Redraw the stem-and-leaf plot fromato make it ordered.

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Y:\HAESE\IGCSE01\IG01_05\115IGCSE01_05.CDR Thursday, 18 September 2008 11:52:46 AM PETER