الإحصاء أوراق عمل الفصل الثالث 2012

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Al Tamayoz model school

Statistics

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Types of DataCategorical Data ( B

Quantitative Data

: ) ( ) ( .Quantitative Data is either discrete or continuous

:Ex

Categorical data

Discrete quantitative

Continuous quantitative

Misuse of Graphs

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Misuse of Graphs .

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1- 2 1 2- 2 1 3- 2 1 4- 3 1 5- 3 1 6- 3 1 7- ) (

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1- 2- 7002 6002 3- 4- ........................................................................................................................................................... ........................................................................................................................................................... ................................................................................................................................................... .

1- A 2- B 3- A 4- B

5- -6

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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

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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

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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.

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StatisticsColour s Red Orange Yellow Green.4

) 7 (Grade :name No. of People 4 3 2 1 % Angle

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Label and shade the sections of the pie chart 7

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) : ( Sector Graph 1( 2( 3( ...................................................................... ...................................................................... ...................................................................... ......................................................................8

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) : ( Sector Graph 1( .............................................................. 2( .............................................................. 3( ............................................................... ............................................................ ............................................................: : %5.21 %05 %52 %5.21 ( ) : %5.21 %05 %52 %5.21 063 %5.21 54 =

: : 002 ) ...................... ( ) .................... ( ) .................... (9

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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

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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

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Travel Graphs

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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

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(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

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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 ( ...................................................................................................................................... .......................................................................................................................................... ..........................................................................................................................................

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.. Go to page . And solve exercise51

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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

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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

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3: :

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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 ) = = = (

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الإحصاء أوراق عمل الفصل الثالث 2012