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    Understanding dataNumbers, tables, charts and textJen Beaumont&Andy Botterill

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    Contents

    Numbers: how to present them

    effectively Tables: how to understand and present

    tables

    Charts: interpreting charts and whatmakes it difficult

    Text: the main rules for describingnumbers

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    Know your audience and aims before

    you present data

    Audience

    Who is going to see the data or who was it intendedfor?

    What are this audience going to need to help them?

    Aims

    What are you trying to convey?

    What data do you need?

    How much detail do you need to include?

    What is the best way to sell your message?

    Tables, charts or text or a combination

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    Know what you are trying to get out of data

    Who was it intended for?

    What are you going to need to help youunderstand?

    Aims

    What are you trying to get out of it?

    How much detail do you need?

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    Useful numbers

    Whatever way you want to present numbers

    then the way you write and align them isimportant

    This is true for any form of presentation

    You should round numbers appropriately they are easier to read and compare

    You should use commas to separate 1,000s

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    12,573,981

    The way you write a number so that it

    can be read

    12573981

    Can you read this number?

    Or is this better?

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    Here it might be sensible to use13 million

    and 112 million

    12573981

    111894397

    12,573,981

    111,894,397

    What about two numbers?

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    Tables

    Extracting information from a table is likeextracting sunlight from a cucumber

    (Farqhuar and Farqhuar, 1891)

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    Tables: What should be presented

    Clear information

    Concise information

    Correct information

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    Source: Times7 January 2008

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    A good table? . (or not)

    203672968Total

    406589Luxembourg

    58491643United Kingdom

    81538628Germany

    5215732Denmark

    58020376France

    Total populationCountry

    Population of part of Europe 1995

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    A good table? possibly

    203,672,968Total

    406,589Luxembourg

    58,491,643United Kingdom

    81,538,628Germany

    5,215,732Denmark

    58,020,376France

    Total populationCountry

    Population of part of Europe 1995

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    even better

    40.081.5Germany

    100.0203.7Total

    0.20.4Luxembourg

    2.65.2Denmark

    28.558.0France

    28.758.5United Kingdom

    Per centof total

    Total population

    (Millions)Country

    Population of part of Europe 1995

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    So, from this example ..

    Less digits, effective rounding

    Easier to understand

    Easier to remember More information

    Better information Some value added

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    Order matters

    Here are data for the number of houses built in 2003,2004 and 2005

    24,000 22,000 23,000

    And the same three numbers as a column24,000

    22,000

    23,000

    Without any additional information which year wouldyou think was which?

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    Principles for assessing tables 1

    Are the figures rounded effectively?

    Do they compare numbers in columns not

    rows?

    Does the table read left to right and top to

    bottom?

    Are there totals to right and bottom oftable?

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    Principles for assessing tables 2

    Does time run down or from left to right?

    Are the columns and rows in natural or

    size order?

    Does the layout guide the eye?

    Could it be simpler?

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    The writing isnt there to fill up the page!

    Dont ignore the edges headers, footnotes

    and endnotes are there for a reason All properly produced tables have a lot of

    information apart from the number you are

    seeking you do not always have to be anexpert in the subject to understand them

    You should always look at the labels and in

    attached notes first They will help you interpret the data clearly

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    Metadata or how to find out what a number

    means and how to use it correctly

    Metadata is the technical word for 'data about

    data'. It is the term used to describe the summary

    information or characteristics of a set of data

    and can often be found in on line data outputsby clicking on something like this .

    If the data are National Statistics then some

    the descriptive information must be there.

    i

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    Metadata: an example

    Where to find

    evidence of goodpractice

    https://www.nomis

    web.co.uk/Default.asp

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    Charts

    A picture is worth a thousands words unless it is a

    bad chart

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    What is a chart supposed to show?

    It should have an aim: the samedata can be presented in differentways for different purposes

    When drawing a chart, check if thechart meets the aim: if not, discard

    it and start again

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    Mode of travel to work

    0

    20

    40

    60

    80

    100

    Cardiff Newport Wrexham Powys Counties

    Percentage

    Car

    Bus

    Train

    Other

    Aim: To show the

    differences inmodes of travelto work within

    counties

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    Mode

    Modes of travel to work

    0

    20

    40

    60

    80

    100

    Car Bus Train Other

    Percentage

    sCardiff

    Newport

    Wrexham

    Powys

    Aim: To show thedifferences of

    modes of travel towork

    between counties

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    Mode of travel to work

    0

    20

    40

    60

    80

    100

    Cardiff Newport Wrexham Powys Counties

    Car

    Bus

    Train

    Other

    Aim: To show the differencesin modes of travel towork within counties

    Mode

    Modes of travel to work

    0

    20

    40

    60

    80

    100

    Car Bus Train Other

    Percentage

    Cardiff

    Newport

    Wrexham

    Powys

    Aim: To show the differencesof modes of travel to work

    between counties

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    Format in Graphs

    population

    1994 1995 1996 1997 1998 1999 2000

    Graph A

    The scales have beenmanipulated toproduce differentimpressions

    Graph Bpopulation

    1994 1995 1996 1997 1998 1999 2000

    0

    5,000

    10,000

    15,000

    20,000

    25,000

    30,000

    35,000

    27,000

    28,000

    29,000

    30,000

    32,000

    31,000

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    population

    0

    5,000

    10,000

    15,000

    20,000

    25,000

    30,000

    35,000

    1994 1995 1996 1997 1998 1999 2000

    It is correct to include

    0 in the scale

    population

    0

    5

    10

    15

    20

    25

    3035

    1994 1995 1996 1997 1998 1999 2000

    T

    housands

    It may also be

    clearer to simplifythe y axis labels

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    Poor examples of

    charts

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    Source:

    AnnualReport ofWine

    StandardsBoard2005-06

    A really bad chart

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    Source: CAPC

    Enquiries: 020 7126 4610

    Rail only

    Rail with transfer to LUL or

    DLR

    LUL or DLR only

    Bus

    Car

    Other1

    0

    200

    400

    600

    800

    1000

    1200

    1991

    1992

    1993

    1994

    1995

    1996

    1997

    1998

    1999

    2000

    2001

    2002

    2003

    2004

    2005

    Numberofpeople(thousands

    1. Includes coach/minibus, taxi, powered two wheeler and cycle

    Chart 1.4.1 People entering central London in the morning peak

    Another really bad chart

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    Zone 1

    Zone 2

    Zone 3

    Zone

    4/5/6 Zone 1

    Zone 2

    Zone 3

    Zone 4/5/6

    0

    5

    10

    15

    20

    25

    30

    35

    Percentage

    Fare zone

    Fare zone

    Source: GLBPS

    Enquiries: 020 7126 4553

    Chart 1.2.3 Spatial distribution of bus journey stages by fare zone (2005/06)

    Start zone?

    Order?

    An even worse chart

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    Chart 1.2.4 Spatial distribution of Underground journey stages by fare zone(2004/05)

    Zone 1

    Zone 2

    Zone 3

    Zone

    4/5/6

    Zone 1

    Zone 2

    Zone 3

    Zone 4/5/6

    0

    5

    10

    15

    20

    25

    30

    35

    Percentage

    Fare zone

    Fare zone

    Source: UUS

    Enquiries: 020 7918 4599

    1. Zones A,B,C,D are included in Zone 6 in the data.

    Start zone?

    Order?

    And another

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    Taken from The Times

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    Taken from The Times

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    Public Agenda: The Times 15 November 2006

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    Someonedefinedthis as theWorst piechart everproduced

    Source:

    How stuffworkswebsite

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    1st

    Qtr

    2nd

    Qtr

    3rd

    Qtr4thQtr

    East

    North

    0

    50

    100

    East

    West

    North

    One to be avoided

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    1st Qtr2nd Qtr

    3rd Qtr4th Qtr

    East

    West

    North

    0

    20

    40

    60

    80

    100

    East

    West

    North

    Another one to be avoided

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    1

    97

    6

    1

    9

    7

    8

    1

    9

    80

    1

    9

    8

    2

    1

    9

    8

    4

    1

    9

    8

    6

    1

    9

    8

    8

    1

    9

    9

    0

    1

    9

    9

    2

    1

    9

    9

    4

    1

    9

    9

    6

    40

    50

    60

    70

    80

    90

    100

    And one similar to this was published

    Wales Index

    GB Index

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    2nd Qtr

    13%

    1st Qtr

    13%

    4th Qtr

    13%

    3rd Qtr

    61%

    One to avoid!

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    1st Qtr

    2nd Qtr3rd Qtr

    4th Qtr

    Questionable use: visual comparison only

    Ipsos MORI:

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    psos OEnd of Year Review 2006

    Missing data? Order?

    Ipsos MORI: Order?

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    pEnd of Year Review 2006

    O deGap?

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    Figure 1: Percentage of interventions identified in each

    category

    1 -

    Universally

    applied

    5 - Early

    problems

    6 - Severe

    problems

    2 - Pre-

    school

    3 - School-

    aged

    4 - Adults

    and elderly

    Vi ibl t i t l i t t ith

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    Visible percentage is not always consistent withactual percentage

    535 Early problems

    1496 Severe problems(white)

    19174 Adults and elderly

    463 School- aged

    12222 Pre-school

    46431 Universallyapplied

    Actual

    percentagefrom data

    Apparentpercentage of

    visible areaCategory

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    Principles for Charts

    Use only two dimensions and no

    explosions!

    Label effectively and start at zero

    Create statistically correct charts

    Use gridlines on graphs and charts

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    Text: assess by the following rules

    Is it written for the right audience?

    Is there unexplained technical language?

    Are there acronyms without reference?

    Does it use plain English?

    Does it use the rules for the presentation ofnumbers?

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    Some examples

    Hospital waiting lists rose by 3,217 to106,938. hospital waiting lists rose by 3,000 (3 percent) to 107,000

    196,476 new houses were built in 1998

    compared with 239,172 ten years earlier

    House building is declining. In 1988 some240,000 new houses were built: in 1998around 200,000 were built.