data intrepretation introduction (alpha)

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    Data Interpretation

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    What are you supposed to do?Some information is provided in the

    form of a -

    Chart - Bar chart, Pie chart

    Graph - Point graph, Line graph

    Table, Or a combination of these.

    You are supposed to answer

    questions based on this information.

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    This is the Reading

    Comprehension inmathematics. The information

    is available for the reference,you are supposed to read

    (interpret) it to answer thequestions.

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    PreparationThe mathematics required

    for DI is mostly addition,subtraction, division and

    multiplication. Quite a few of

    the questions focus on

    percentage.

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    Types of DataPresentation

    Tables

    Bar Graphs

    Line Graphs

    Pie Charts

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    What Data Presentation

    will you use for -

    Satisfaction SurveysTables

    Analysis of Fault CausesBar Charts

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    Sales over last 5 yearsLine Chart

    Market SharePie Chart

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    RememberThe calculations required

    seem quite complicated. So,

    always approach the

    questions in a phasedmanner.

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    Step 1

    Read the question

    carefully, and find out

    what exactly is asked.

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    0

    5

    10

    15

    20

    25

    3035

    40

    1st

    Qtr

    2nd

    Qtr

    3rd

    Qtr

    4th

    Qtr

    East

    West

    In which

    quartersthedifferencebetweenEast and

    West isalmost the

    same?

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    OR

    0

    5

    10

    15

    20

    25

    3035

    40

    1st

    Qtr

    2nd

    Qtr

    3rd

    Qtr

    4th

    Qtr

    East

    West

    In whichquarter the

    differencebetween

    East andWest is the

    most?

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    OR

    0

    5

    10

    15

    20

    25

    3035

    40

    1st

    Qtr

    2nd

    Qtr

    3rd

    Qtr

    4th

    Qtr

    East

    West

    In whichquarter the

    differencebetweenEast and

    West is themost

    negligible?

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    Step 2

    Write down the

    calculations required in a

    step-by-step manner.

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    05

    10

    15

    20

    25

    30

    35

    40

    45

    50

    1st

    Qtr

    2nd

    Qtr

    3rd

    Qtr

    4th

    Qtr

    East

    West

    North

    In which

    quarter isthe

    difference

    between

    East and

    West 1/3rdof the total

    for North?

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    05

    10

    15

    20

    25

    30

    35

    40

    45

    50

    1st

    Qtr

    2nd

    Qtr

    3rd

    Qtr

    4th

    Qtr

    East

    West

    North

    OR

    In whichquarter do

    East andWest add

    almost upto the total

    for North?

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    Step 3Read the answer choices and

    decide what level of calculations

    are required - whether you need tocomplete the calculations to the last

    decimal, or whether you can

    approximate.

    Most of the times, approximation

    works beautifully.

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    Find the percentage change

    from 126.37 to 188.94Eliminate the options that

    say there has been adecrease

    Eliminate the options thatsay there has been an

    increase of 100% or more.

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    The answer will be around

    50%, so select the option +

    5% of this.

    Most of the times, there will

    be only one option in this

    range.

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    Tables

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    DEATHS RATE /(numbers), 100,000

    1970 1980 1970 1980Accident

    114,638

    105,718

    56.4 46.7

    Motor-vehicle

    54,633

    53,172

    26.9 23.5

    Falls 16,

    926

    13,

    294

    8.3 5.9

    Percentage of people killed in

    accidents in 1970 is?

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    DEATHS RATE /(numbers), 100,000

    1970 1980 1970 1980Accident

    114,638

    105,718

    56.4 46.7

    Motor-vehicle

    54,633

    53,172

    26.9 23.5

    Falls 16,

    926

    13,

    294

    8.3 5.9

    56.4 out of 100,000

    i.e. 0.0564%

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    DEATHS RATE /(numbers), 100,000

    1970 1980 1970 1980Accident

    114,638

    105,718

    56.4 46.7

    Motor-vehicle

    54,633

    53,172

    26.9 23.5

    Falls 16,

    926

    13,

    294

    8.3 5.9

    % change in falls between

    1970 and 1980?

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    DEATHS RATE /(numbers), 100,000

    1970 1980 1970 1980Accident

    114,638

    105,718

    56.4 46.7

    Motor-vehicle

    54,633

    53,172

    26.9 23.5

    Falls 16,

    926

    13,

    294

    8.3 5.9

    Approximately 17K to 13K,

    which is close to 25%

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    DEATHS RATE /(numbers), 100,000

    1970 1980 1970 1980Accident

    114,638

    105,718

    56.4 46.7

    Motor-vehicle

    54,633

    53,172

    26.9 23.5

    Falls 16,

    926

    13,

    294

    8.3 5.9

    What was the population in

    1980?

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    DEATHS RATE /(numbers), 100,000

    1970 1980 1970 1980Accident

    114,638

    105,718

    56.4 46.7

    Motor-vehicle

    54,633

    53,172

    26.9 23.5

    Falls 16,

    926

    13,

    294

    8.3 5.9

    46.7 out of 100,000,

    105,718 out of ------ (200 m)

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    Bar Charts

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    What is the increase in

    prisoner pop/m 70 to 80?

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    40 out of 100,000

    Hence 400 out of 1 million

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    Average annual % increase

    between 1970 and 1980?

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    Increase of 50% in 10 years,

    hence 5% annual.

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    Cumulative Bar

    Charts

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    % of farm m/c sold in 85 that

    were 2WD tractors?

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    Approximately 70%

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    Total sales of combines in

    all years?

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    Approximately 50 thousand

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    Pie Charts

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    How many disabled people

    in 1989?

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    % change in survivors to

    disabled ratio 70 to 89?

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    Line Graphs

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    What product was 400%

    more than ply in 80?

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    Increase in total

    consumption from 70 & 85

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    Average of Lumber between

    70 and 85?

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    When was the highest %