pie chart (26.3)

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    PIE CHARTMiss Nora

    By PresenterMedia.com

    http://www.presentermedia.com/mspp.htmlhttp://www.presentermedia.com/mspp.html
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    STEPS:

    Find the total

    Calculate the percentages

    Construct the pie chart

    Step 1

    Step 2

    Step 3

    Step 4

    Calculate the degrees

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    Comedy Action Romance Drama SciFi

    4 5 6 1 4

    Example:

    Below is a survey of your friends on which kind of movies the likedbest, the results are below:

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    Find the total

    Step 1:

    comedy action romance drama SciFi Total

    4 5 6 1 4 20

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    Step 2:Find the percentage

    Comedy Action Romance Drama SciFi Total

    4 5 6 1 4 20

    4/20 x 100

    = 20%

    5/20 x 100

    = 25%

    6/20 x 100

    = 30%

    1/20 x 100

    = 5%

    4/20 x 100

    = 20%100%

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    Step 3:Find the degree

    Comedy Action Romance Drama SciFi Total

    4 5 6 1 4 20

    4/20 x 100

    = 20%

    5/20 x 100

    = 25%

    6/20 x 100

    = 30%

    1/20 x 100

    = 5%

    4/20 x 100

    = 20%100%

    4/20 x 360

    = 72

    5/20 x 360

    = 90

    6/20 x 360

    = 108

    1/20 x 360

    = 18

    4/20 x 360

    = 72360

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    Step 4Construct the pie chart (use your protractor)

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    Students in Technical college

    departments

    ScienceEngineering

    Mathematics

    Computing

    example

    The number of students inthe four departments of atechnical College arerepresented in the pie chart.There are 150 students in themathematics department.Calculate:

    a) The total number ofstudents in the college

    b) The number of studentsin the Engineeringdepartment

    c) The percentage ofstudents in theComputing department

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    Solutionsa)(150 x) x 360 = 90

    (150 x = 90 360 = 0.25

    x = 150 0.25

    x = 600

    b) (x 600) x 360 = 120

    x 600 = 120 360 = 1/3x = (1/3) x 600 = 200

    c) (54 360) x 100

    = 15%

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    ACTIVITYHOUR(S)SPENT

    ON ACTIVITY

    PERCENT OFDAY

    DEGREE OFCIRCLE

    School 8

    Break time 2

    Doinghomework

    2

    Resting 4

    sleeping 8

    Complete the table to show how Nina spends her time in a day(24 HOURS). Use a protractor to create a circle graph / pie

    chart of the above information. Be sure to include a title.

    QUESTION 1:

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    Type of Programme FrequencySoaps 8

    Films 9

    News 1

    Quizzes 2Nature Programmes 4

    Others 6

    A survey was conducted on what types of television

    programme people preferred. 30 people wereinterviewed and the results of the survey were as

    follows. Construct a pie chart.

    QUESTION 2:

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    Main Course FrequencyAngle of

    frequency

    Roast 15

    Salad 10

    Vegetarian 9

    Curry 6

    Fish 12

    Rolls 8

    Total 360

    Table 1:The main courses chosen by pupils in Year 9

    QUESTION 3:

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    Paper Frequency Angle of frequency

    Daily Mail 6

    The Sun 24

    Telegraph 18

    The Mirror 20

    The Times 4

    Total 360

    Table 2:The papers bought by Pupils were:

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    Item Cost Percentages

    School Dinners 2.50

    Clothes 6.00

    Books and Magazines 3.00

    Tuck Shop 2.00

    Saved 4.50

    Total 100

    Table 3:Last week Anna spent her money on:

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    1. Complete Table 1 to 3

    2. Construct pie chart for Table 1 to 3

    3. In Table 1, how many degrees represent 1 pupil?

    4. In Table 2, which paper gets 25% of the sales? Hint; 25% is thesame as a quarter.

    5. In Table 3, what was Annas total amount of spending money?Which two items did Anna spend half of her money on?

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    BAR GRAPH EXERCISES:

    For every question (4 QUESTIONS) on pie

    chart / circle graphs, construct BARCHARTS (please write the title of each bar

    graphs)

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    Years Wheat Barley Oats

    1991 34 18 27

    1992 43 14 24

    1993 43 16 27

    1994 45 13 34

    Example:

    The table below shows the quantity in hundred kgs of

    Wheat, Barley and Oat produced on a certain formduring the years 1991 to 1994. Construct a component

    bar chart to illustrate this data

    COMPONENT BAR CHARTS

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    0

    5

    10

    15

    20

    25

    30

    35

    40

    45

    50

    1991 1992 1993 1994

    Wheat

    Barley

    Oats

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    1. The output of an electrical company (in thousands) is as follows. Illustrate this

    information with an appropriate chart (a component bar chart!).

    2. Draw a component bar chart to illustrate the table below

    Personal

    stereos

    TV sets Video

    recorders

    Hi-fis

    1995 23.4 18.6 7.3 2.7

    1996 25.2 18.6 8.5 18.5

    1997 19.7 20.5 9.4 20.6

    USA Russia Germany China UK

    Gold 15 8 6 12 3

    Silver 23 17 0 10 2

    Bronze 14 18 5 0 6

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    LINE GRAPHA line graph is used to display data that show how one variable (the responding

    variable) changes in response to another variable (the manipulated variable).

    Number of Croaks vs. Temperature

    Air Temperature (celcius) Frog Croaks (per minute)

    22 12

    23 14

    24 15

    26 16

    28 17

    31 21

    32 26

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    Tips for Creating Line Graphs

    1. On graph paper, draw a horizontal, orx-, axis and a vertical, or y-, axis.

    2. Label the horizontal axis with the name of the manipulated variable. Label the vertical

    axis with the name of the responding variable. Include the units of measure.3. Create a scale on each axis by marking off equally-spaced numbers along the axis. Begin

    with zero or a number slightly less than the smallest number to be graphed. Be sure that

    each scale covers the entire range of data collected for that variable. Label the units on

    each scale.

    4. Plot each point where the variables intersect. You can do this by following an imaginary

    line up from the measurement on the x-axis. Then follow a second imaginary line acrossfrom the corresponding measurement on the y-axis. Place a dot where the two lines

    intersect.

    5 Consider whether you will plot from point to point or make a best fit graph. Ifyou plot

    from point to point, each segment connecting two adjacent points should be straight. If you

    make a best fit graph, the connecting line should be smooth.

    6. Give your graph a title that identify the variables or the relationship between thevariables in the graph. On the next slide, Number of Frog Croaks at Different

    Temperatures is a complete title that clearly describes this graph.

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    Use a sheet of graph paper to make a graph of the data given below. Thenanswer the questions.

    Time (min) Temperature (Celcius) Solid, Liquid or Gas

    0 -20 Solid

    5 0 Solid (melting)

    10 0 Solid (melting)

    15 52 Liquid

    20 100 Liquid (boiling)

    25 100 Liquid (boiling)

    30 100 Liquid (boiling)

    35 100 Liquid (boiling)

    40 100 Liquid (boiling)

    45 100 Liquid (boiling)

    50 100 Liquid (boiling)

    55 10 Liquid (boiling)

    60 100 Liquid (boiling)

    65 100 Liquid (boiling)

    70 100 Liquid (boiling)

    75 110 Gas

    80 120 Gas

    1. On a sheet

    of graph

    paper, make aline graph of

    the data the

    group

    collected.

    2. What does

    the graph tellyou about the

    temperature

    of the

    substance at

    different

    times duringthe

    investigation?

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    Activity

    http://c/Users/Owner/Downloads/emma/CCCT/PNDCS%20Mathematics%20G3%20(old%20intake)/graph/activity.swfhttp://c/Users/Owner/Downloads/emma/CCCT/PNDCS%20Mathematics%20G3%20(old%20intake)/graph/activity.swf