\
Al Tamayoz model school
Statistics
) 7 (Grade :name
/ 2102
/
:date
Types of DataCategorical Data ( B
Quantitative Data
: ) ( ) ( .Quantitative Data is either discrete or
continuous
:Ex
Categorical data
Discrete quantitative
Continuous quantitative
Misuse of Graphs
. .
1
\
Al Tamayoz model school
Statistics
) 7 (Grade :name
/ 2102
/
:date
Misuse of Graphs .
.
1- 2 1 2- 2 1 3- 2 1 4- 3 1 5- 3 1 6- 3 1 7- ) (
2
\
Al Tamayoz model school
Statistics
) 7 (Grade :name
/ 2102
/
:date
1- 2- 7002 6002 3- 4-
...........................................................................................................................................................
...........................................................................................................................................................
...................................................................................................................................................
.
1- A 2- B 3- A 4- B
5- -6
3
\
Al Tamayoz model school
Statistics
(Grade 7 ) :name
2012 /
/
date:
Pie Chart- Sector GraphPie Chart - A special chart that uses
"pie slices" to show relative sizes of data. Imagine you just did a
survey of your friends to find which kind of movie they liked best.
Here are the results:
Table: Favorite Type of Movie
Comedy 4
Action 5
Romance 6
Drama 1
SciFi 4
You could show that by this pie chart:
It is a really good way to show relative sizes: it is easy to
see which movie types are most liked, and which are least liked, at
a glance. ) ) 4
\
Al Tamayoz model school
Statistics
(Grade 7 ) :name
2012 /
/
date:
How to Make Them Yourself First, put your data into a table
(like above), then add up all the values to get a total: :
Comedy 4 Action 5 Romance 6 Drama 1 SciFi 4 TOTAL 20
Next, divide each value by the total and multiply by 100 to get
a percent:
. 001 Comedy 4 4/20 = 20% Action 5 Romance 6 Drama 1 1/20 = 5%
SciFi 4 4/20 = 20% TOTAL 20 100%
5/20 = 25% 6/20 = 30%
Now you need to figure out how many degrees for each "pie slice"
(correctly called a sector).
. ) 063 ( A Full Circle has 360 degrees, so we do this
calculation: 063
. 063 Comedy 4 4/20 = 20% 4/20 360 = 72 Action 5 Romance 6 Drama
1 1/20 = 5% 1/20 360 = 18 SciFi 4 4/20 = 20% 4/20 60 = 72 TOTAL 20
100% 360
5/20 = 25% 6/20 = 30% 5/20 360 = 90 6/20 360 = 108
5
\
Al Tamayoz model school
Statistics
(Grade 7 ) :name
2012 /
/
date:
Now you are ready to start drawing! Draw a circle.
Then use your protractor to measure the degrees of each sector.
. Here I show the first sector ...
To draw a pie graph, you will need to have the following
stationary ready: Compass (for drawing circles accurately)
Protractor (to measure angles) Ruler Calculator (if deemed
necessary)
For example:1.
to draw a pie chart representing the popularity of various
colours among people, you need to take the following steps:
Study the data given:Colours Red Orange Yellow Green No. of
People 4 3 2 1
2.
Convert the given data into percentage (%) form: Colours Red
Orange Yellow Green No. of People 4 3 2 1 %
3.
063 6
\
Al Tamayoz model school
StatisticsColour s Red Orange Yellow Green.4
) 7 (Grade :name No. of People 4 3 2 1 % Angle
/ 2102
/
:date
.5
Label and shade the sections of the pie chart 7
\
Al Tamayoz model school
Statistics
) 7 (Grade :name
/ 2102
/
:date
) : ( Sector Graph 1( 2( 3(
......................................................................
......................................................................
......................................................................
......................................................................8
\
Al Tamayoz model school
Statistics
) 7 (Grade :name
/ 2102
/
:date
) : ( Sector Graph 1(
.............................................................. 2(
.............................................................. 3(
...............................................................
............................................................
............................................................: :
%5.21 %05 %52 %5.21 ( ) : %5.21 %05 %52 %5.21 063 %5.21 54 =
: : 002 ) ...................... ( ) .................... ( )
.................... (9
\
Al Tamayoz model school
Statistics
(Grade 7 ) :name
2012 /
/
date:
Travel Graphs.Example: The following graph gives the distance of
a cyclist from his home Distance ---------------------- = Speed
Time
?a. When did the cyclist leave home ?b. When did the cyclist
return home ?.c. How far away from home was he at 10 a.m ?.d. How
far away from home was he at 11 a.m ?.e. How far away from home was
he at 2 p.m ?.f. How far away from home was he at 3 p.m ?g. At what
times did he take a rest ?h. How far away from home was he at noon
?.I. How far away from home was he at 5 p.m :j. Find his speed from
.i) 8 a.m. to 10 a.m) .ii) 11 a.m. to 2 p.m) .iii) 3 p.m. to 5 p.m)
?k. When was the cyclist traveling most quickly10
\
Al Tamayoz model school
Statistics
(Grade 7 ) :name
2012 /
/
date:
Travel Graphs?Using the graph below and answer the following
questions ?What type of graph is this (1 How long does Gary travel
after (2 ?minutes 2 Between what times is (3 ?Gary stopped How long
does Gary travel after (4 ?minutes 6 ?What is the speed of Gary's
jog between 6 and 10 (5 :Complete Ahmed begins at school Traveling
the first 100m takes (1 .Ahmed minutes Traveling the next 100m
takes (2 .Ahmed .minutes Ahmed stopped between..and (3 After
8minutes Ahmed was at (4 from school :The graph shows Alis travel
graph How far was Ali after 10 minute (1 ?from the beginning
?Between what times was Ali stopped (2 ?When Ali arrived to 1000
meters (3 Determine the speed of Ali for the two (4 ?Stages of his
tripAli's travel graph
Ahmed's travel graph
11
\
Al Tamayoz model school
Statistics
(Grade 7 ) :name
2012 /
/
date:
Travel Graphs
12
\
Al Tamayoz model school
Statistics
(Grade 7 ) :name
2012 /
/
date:
Conversion graphsTo convert 50 mph into kmph Start by finding 50
on the mph axis. When you have found it, click on the graph and
follow the red arrow across to the conversion line. Now click on
the graph again and follow the red arrow down to the kmph axis. The
value is 80 kmph, so
50 mph = 80 kmphTo convert 100 kmph into mph This time find 100
on the kmph axis. Click on the graph and follow the blue arrow up
to the conversion line. Now click on the graph again and follow the
blue arrow left to the mph axis. The value is 63 mph, so
100 kmph = 63 mph
Exercises: Question 1: The graph below can be used to convert
between French Francs* and British Pounds.a) Convert these amounts
to French Francs. (i) 3.00 is FF (ii) 7.00 is FF (iii) 4.50 is FF
(b) Convert these amounts to British Pounds. (i) 80 FF is (ii) 60
FF is (iii) 25 FF is
13
\
Al Tamayoz model school
Statistics
(Grade 7 ) 2012 / / date: :name Question 2: The graph below can
be used for converting between weight in kilograms (kg) and weight
in pounds .((lb a) Convert these from kilograms to pounds. (i) 30
kg is lb (ii) 10 kg is lb (iii) 45 kg is lb (b) Convert these from
pounds to kilograms. (i) 110 lb is kg (ii) 20 lb is kg (iii) 85 lb
is kg
.(Question 3
: The graph below can be used for converting between length in
metres (m) and length in feet (ftUse the graph to answer the
following questions. (a) In a long-jump competition, Mohammed
jumps4 metres and James jumps 12 feet. Who wins?
(b) Which is longer, 20 feet or 6.5 metres? (c) Philip says that
8 metres is less than 28 feet. Is he right? (d) A rope is 9 m long.
What is its length to thenearest foot?
(e) A new flagpole arrives at a school. It is 1 metre tallerthan
the old one. The old flagpole was 18 feet tall. How tall (in
metres) is the new flagpole ?
metres
14
\
Al Tamayoz model school
Statistics
) 7 (Grade :name
/ 2102
/
:date
step graph ) (. )( ) ( . ) ( ) ( )( . 2 06.3 04.5 .Note: When a
gap or jump appears in a graph we say that the graph is
.discontinuous
:Refer to the step graph above, answer these questions
: ................................. : ?i) 20 minutes ?Ii) 3
hours 3 )Iii ?hours 2 minutes ?08.1 ?i) Dhs ?02.7 ii) Dhs 06.3 iii)
Dhs ) 3 (
......................................................................................................................................
..........................................................................................................................................
..........................................................................................................................................
...........................
.. Go to page . And solve exercise51
\
Al Tamayoz model school
Statistics
(Grade 7 ) :name
2012 /
/
date:
Dot- Plot graph
Make a dot plot of the data: 68 60 76 68 64 80 72 68 60 84 72 80
84 64 80 72 64
72 56 68
76 88 76
92 76 72
68 80
56 68
:Make a dot plot of the data23 ,29 ,21 ,20 ,30 ,32 ,20 ,22 ,29
,19 ,27 ,30 ,24 ,16 ,17 ,26 ,23 ,18 ,26 ,19 ,18 ,30 ,17 ,25 ,14 ,16
,24 ,29 ,24 ,31
:Make a dot plot of the data42 ,44 ,34 ,33 ,40 ,43 ,32 ,31 ,31
,31 ,31 ,44 ,41 ,41 ,36 ,42 ,40 ,31 ,36 ,43 ,38 ,45 ,32 ,37 ,37 ,32
,31 ,43 ,43 ,35
16
\
Al Tamayoz model school
Statistics
) 7 (Grade :name
/ 2102
/
:date
T .
Ones
2 3 4 11 represent 23 and 1 9 represent 19 , 114 will be : . : :
21 , 51 ,22, 02 ,81 ,91 33, 03, 33. 23, 41. 32. 03 , 71. 03 ,11,
55,25, 35, 91: ) ( . .
1 2 5 8 9 4 7 1 9 2 2 0 3 Now, Rewrite with ordered leaf 4 5 2 5
3
3 0 3 2 0 0
3
1 : : 72 , 83 , 24, 81 , 92 , 04 , 91, 01 ,23 , 74 , 91 , 63 ,
24
2:
3: :
71
\
Al Tamayoz model school
Statistics
) 7 (Grade :name
/ 2102
/
:date
4:
1( ) ( 2(
===================================================================
5: 0 8 7 9 1 2 9 6 6 5 3 4 2 9 0 0 7 8 6 4 3 3 1 1 2 5 6 9 1 3 1 4
0 0 0 ?a) Rewrite the Stem- and - leaf plot as an Ordered Stem and
leaf plot ?b) How many students examined ?c) What were the lowest
and the highest mark )(d 02 ) ?e) Find the Range, Mode and the
Median for the data ) = = = (
81