Collecting
Data
Name:
_________________
In
each case, circle which type of sampling technique you would choose
to collect data.
1. A donor gives the school $500 to
spend on the students. The principal asks your class to create a
survey to determine where to spend the money. Should your class:
a) ask everyone who stayed after
school for the basketball tryouts?
b) ask people going in and out of the
library at lunch?
c) randomly select 5 people from each
class?
Justify your selection.
2. To determine what students at your
school think about starting a lunch hour chess club, would you:
a) ask everyone in Grade 4?
b) ask the teachers?
c) ask every tenth student as they
enter the school in the morning?
Justify your selection.
3. To determine the most watched TV
shows, would you:
a) ask all the students in Grade 2?
b) call households between 4 and 6
p.m.?
c) send home a survey with each
student?
Justify your selection.
Change
the questions to match the purpose of the survey.
4. Anthea was carrying out a survey on
favourite magazines. She asked “Do you like reading magazines?”
5. Mike wants to find out what type of
music people like to listen to. He asks “Do you like rap or pop
music?”
Paramount
Canada’s Wonderland
Scenario:
Paramount Canada’s Wonderland is considering opening an
additional amusement park. They need to know which ride they should
promote as a key attraction for ages 11–13.
Cliffhanger:
Cliffhanger is Paramount Canada’s Wonderland’s new
super swing with attitude and altitude. Cliffhanger takes passengers
through snap rollovers and unyielding 360 degree twists and turns as
they are propelled through moments of zero gravity and finally
quenched by an inescapable wall of water.
Meteor
Attack: At Action F/X Theatre, there are non-stop thrills
with Meteor Attack. Passengers are taken on the flight of their
lives, as they become the last line of defense against a full-scale
alien invasion. Passengers are transformed into unsuspecting pilot
trainees of the 23rd century, who are to save
Rocketstation Outpost 769.
Drop
Zone Stunt Tower: Drop Zone is Canada’s tallest
free-fall thrill ride: 23 stories high. It features a colourful,
free-standing tower with open cockpit seats that drop at a speed of
100 km/hour. Manufactured in Switzerland, five cars drop at a speed
of 488 cm/second and down a 70 m drop. Drop Zone has an hourly
capacity of 800 riders.
Water
Park: Water Park is a million gallons of heated water fun!
Bring your bathing suit and ride the waves at Canada’s largest
outdoor wave pool. Gently float 1.5 km on The Lazy River, or choose
from over 16 thrilling water slides.
Write
your survey question here:
____________________________________________________________________________
What
is your sample going to be?
Number
of people: ___________ Ages asked: _______________
Create
a tally chart of results here:
Tally Frequency (total number in
tally)
Cliffhanger
Meteor Attack
Drop Zone Stunt
Tower
Water Park
Other
What
kind of graph will you draw? Explain why?
Draw
a graph by hand using the proper proportions (axis labels).
Use
Excel to create a data table and a well-organized labelled graph (as
separate sheet).
Save your file in your class work folder AND
print out your graph.
Check
your computer graph with your hand drawn graph and adjust where
needed.
Due: Friday, Feb. 5.
(If you don’t want to
do Canada’s Wonderland you may choose a topic of your choice
and follow the same steps.) (See next page.)
Share the results of your survey with
the class.
Create
a presentation on chart paper that includes a relative frequency
table, an appropriate graph, and a clear survey question.
Use
the following criteria as a checklist to ensure your presentation is
complete:
Our
question/purpose of the survey is clearly stated.
We
can explain how we attempted to eliminate bias in our data
collection method.
Our
frequency table is clearly displayed.
All
parts of our graph are labelled properly.
Our
graph summarizes our results.
Our
presentation takes between 2 and 3 minutes.
Reflecting
on Your Work in the Group
Divide
your circle into sections that reflect how much time you spent on
each part of the group activity. Label each section and justify the
amount of the circle you have given to each section.
Group
Activity
My
Participation
Discussing with
group members
Doing the work
Checking group
work and revising
Off-task behaviour
Reflection
How
could you improve your project and presentation in the future?
Homework
Data
| Time | Average | Amount | Amount |
September | 85 | 73% | 64 | 30 |
October | 79 | 73% | 116 | 35 |
November | 48 | 75% | 183 | 32 |
December | 15 | 70% | 212 | 37 |
January | 39 | 68% | 205 | 29 |
February | 8 | 66% | 215 | 28 |
March | 10 | 69% | 198 | 32 |
April | 14 | 70% | 168 | 33 |
May | 26 | 72% | 83 | 28 |
June | 3 | 71% | 45 | 20 |
It is
possible to have any value.) (continuous data.)
Only some
sets of data can be presented. (discrete data)
Which
group has data that has been collected according to a grouping or a
category? (categorical data)
Continuous:
How many ml of soup does your bowl contain?
Continuous:
What is the length of your shoe?
Discrete:
How many eyelets are in each of your shoes?
Discrete:
How many times per week do you have soup?
Categorical:
What type of soup do you like best?
Categorical:
What colour are your shoes?
Discrete,
Categorical, and Continuous Data
January
January
December
March
April
June
June
June
August
December
March
June
March
February
December
August
August
June
June
July
September
January
March
June
October
Birth
Month
Frequency
January
3
February
1
March
4
April
1
May
0
June
7
July
1
August
3
September
1
October
1
November
0
December
3
Therefore,
most people were born in the month of June.
Winter
(M)
Winter
(F)
Autumn
(M)
Winter
(F)
Spring
(M)
Spring
(M)
Spring
(M)
Spring
(F)
Summer
(M)
Autumn
(F)
Winter
(M)
Spring
(F)
Winter
(M)
Winter
(M)
Autumn
(F)
Summer
(M)
Summer
(F)
Spring
(M)
Spring
(M)
Summer
(M)
Summer
(M)
Winter
(F)
Winter
(M)
Spring
(M)
Autumn
(F)
Season
Frequency
Male
Fem.
Winter
5
3
Spring
6
2
Summer
4
1
Autumn
1
3
Therefore,
more boys than girls were born in the first half of the year.
Height
of the Plant (cm)
Oct.
7
16
Oct.
9
22
Oct.
11
28
Oct.
14
36
Oct.
15
40
Oct.
17
46
Oct.
21
52
Oct.
24
56
Oct.
26
60
First
week 12
Second
week 10
Third
week 8
Therefore,
the plant has been growing steadily over three weeks.
First
week 78
Second
week 126
Third week 117
Therefore,
Allyson read more towards the end of the three weeks than at the
beginning, except for the last day.
Circle
Graph
Creating
a Circle Graph
Survey results of
favourite sports in Grade 8.
Subject | Frequency | Fraction | Percent | Degree |
Hockey | 25 |
|
|
|
Soccer | 50 |
|
|
|
Lacrosse | 10 |
|
|
|
Basketball | 10 |
|
|
|
Other |
|
|
|
|
Totals | 100 |
|
|
|
Survey results for the
favourite types of music of students in Grade 8.
Type | Frequency | Fraction | Percent | Degree |
Country | 8 |
|
|
|
Pop | 20 |
|
|
|
Rap | 8 |
|
|
|
Other | 4 |
|
|
|
Totals | 40 |
|
|
|
Survey results of
number of siblings.
Number | Frequency | Fraction | Percent | Degree |
0 | 50 |
|
|
|
1 |
|
| 50% |
|
2 | 150 |
|
|
|
3+ |
|
|
|
|
Totals | 500 |
|
|
|
Mona’s
Bicycle Ride from Home to Work
Part
A: Interpolating to Determine Facts
Use
information from the graph to help you determine the answers to the
following questions.
1. How far did Mona ride in the first
2 minutes (point A)?
How do you know?
2. How long, after returning home, did
it take Mona to travel 300 m (point D)?
How do you know?
Make
up your own questions about points B and C:
3.
4.
3.12.2:
Mona’s Bicycle Ride from Home to Work (continued)
Part
B: Inferences
1. Are there any stop signs between
Mona’s house and her work?
How do you know?
2. Was the purse close to the
door?
How do you know?
3. Could Mona come home for lunch?
How
do you know?
4. Work with your group to make up
your own inference about Mona’s bike ride.
5. Based on these questions and on
your answers, what do you think is the difference between a fact and
an inference?
Part
C: Tony Has a Glass of Milk
Are
the following statements facts or inferences?
1. Tony drank the entire glass of
milk. ____________
2. Tony likes milk. ____________
3. The glass was refilled only
halfway. ____________
4. Tony asked for more milk after
drinking the first glass. ____________
5. State a fact about Tony’s
drink of milk.
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