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1. Unit 15
Data Collection
Biased Questions

2. Rewrite these questions so as to make each of
them unbiased.
1.Do you think that we do enough work in school and that homework is
unnecessary?
2.Should the Government spend more money on education?
3.Should the Prime Minister avoid paying income tax?
4.Should nurses get a bigger pay rise that politicians?
5.Should there be more sport on TV?
6.Should we still belong to the Commonwealth?
7.Do you agree that Arsenal are clearly the best football team in the
world?
8.Should we abandon our Jamaican dollar and adopt the US dollar for
our currency?

3. Unit 15
Data Collection
Survey Results

4. Lance thinks that students who come to school by bus are more likely to
be late that those who do not travel by bus.
In order to test whether or not this is true, he carries out a survey of 100
students from Grade 7 for 5 consecutive Tuesdays.
a)Do the results show Lance is correct?
b)How could the survey be improved?
Method of
Travel
Number of
Students
Number Late % late
Route Taxi 150 40
Bus 50 10
Car 100 22
Walk 200 25
TOTAL 500 97

5. Lance thinks that students who come to school by bus are more likely to
be late that those who do not travel by bus.
In order to test whether or not this is true, he carries out a survey of 100
students from Grade 7 for 5 consecutive Tuesdays.
c) A student is selected at random from Grade 7
What is the probability that this student walk to school on
Tuesday?
Method of
Travel
Number of
Students
Number Late % late
Route Taxi 150 40
Bus 50 10
Car 100 22
Walk 200 25
TOTAL 500 97
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6. Unit 15
Data Collection
Sampling

7. There are 12 teacher is a small school. A sample
size of 4 is to be selected from this population.
A ) SYSTEMATIC sample
Here we collect, for example, every third teacher
from the sample, giving:
TEACHERS
1. Mrs Powell
2. Mrs Grant
3. Mrs Clarke
4. Mrs Bailey
5. Mrs Miller
6. Mr Gordon
7. Mr Francis
8. Mr Brown
9. Mr Wright
10. Mr Gray
11. Mr Davis
12. Mr Lawrence
Mrs ClarkeMrs Clarke
Mr GordonMr Gordon
Mr WrightMr Wright
Mr LawrenceMr Lawrence

8. B ) RANDOM sample
Here we need to use a list of random
numbers. Beginning at the top left hand
corner and working down the column, you
take pairs of numbers using only numbers
less than 12.
The first number is
and the teacher is
The second number is
and the teacher is
TEACHERS
1. Mrs Powell
2. Mrs Grant
3. Mrs Clarke
4. Mrs Bailey
5. Mrs Miller
6. Mr Gordon
7. Mr Francis
8. Mr Brown
9. Mr Wright
10. Mr Gray
11. Mr Davis
12. Mr Lawrence
80 02 86 03
23 90 18 56
84 34 73 51
31 98 73 65
28 73 32 83
52 70 53 23
47 14 69 68
15 45 05 18
59 79 80 51
75 11 14 10
Mrs GrantMrs Grant
0202
1111
Mr DavisMr Davis
The third number is
and the teacher is
The fourth number is
and the teacher is
0505
0303
Mrs MillerMrs Miller
Mrs ClarkeMrs Clarke

9. Unit 15
Data Collection
Distance Chart

10. a) What is the distance from:
i. Lucea to Rio Bueno?
ii. Hectors River to Spanish Town?
b) Which two places are furthest apart?
89 km89 km
90 km90 km
Hectors RiverHectors RiverBlack RiverBlack River and

11. c) You drive from Spanish Town to Montego Bay to Black
River and back to Spanish Town.
What distance do you travel?
3143141121126262140140 + + = km

12. Unit 15
Data Collection
Favourite Sports

13. a) How many students choose Basketball in Grade 8?
b) How many more choose Football in Grade 7 than is Grade 10?
c) In which Grade was Football not the most popular sport?
Cricket Football Basketball
Track and
Field
Grade 7 6 18 5 14
Grade 8 5 16 7 15
Grade 9 7 14 10 12
Grade 10 2 12 10 19
Grade 11 8 13 12 10
77
66
1010

14. Unit 15
Data Collection
Pictograns

15. a) How many customers used the shop on Wednesday?
b) How many customers used the shop on Monday?
c) How many customers used the shop during the week?
3535
3535
5050
3030 5050 2525 5050 6565 255255+ + + + + =

16. Unit 15
Data Collection
Bar Charts

17. The table below shows the number of chocolates sold in a school
canteen during one week.
a)How many more chocolates were sold on Friday than on Tuesday?
b)What was the total number sold through the week?
c)What was the mean number of chocolates sold daily?
d)What is the probability that, on a random day, fewer than 50 chocolates
were sold?
- =
+ + + + =
Day Mon Tues Wed Thurs Fri
No of chocolates 22 45 58 35 60
2222 4545 5858 3535 6060 220220
6060 4545 1515
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18. The table below shows the number of chocolates sold in a school
canteen during one week.
e)Complete the bar chart to represent the information above.
Day Mon Tues Wed Thurs Fri
No of chocolates 22 45 58 35 60