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Choosing Appropriate Graphs or What to do with all that data… Bar Graphs are appropriate for data that are non‐numerical and discrete for at least one variable, i.e. they are grouped into separate categories. There are no dependent or independent variables. Important features of this type of graph include: Data are collected for discontinuous, non‐numerical categories (e.g. place, colour, and species) so the bars do not touch. Data values may be entered on or above the bars if you wish. Multiple sets of data can be displayed side‐by‐side for direct comparison (e.g. males and females of the same age group). Axes may be reversed so that the categories are on the x‐axis, i.e. the bars can be vertical or horizontal. When they are vertical, these graphs are sometimes called column graphs (MS Excel uses this name for vertical bar graphs). Histograms are plots of continuous data and are often used to represent frequency distributions, where the y‐axis shows the number of times a particular measurement or value was obtained. For this reason, they are often called frequency histograms. Important features of this type of graph include: The data are numerical and continuous (e.g. height or weight) so the bars touch. (A column graph from Excel can be made into a histogram). The x‐axis usually records the class interval. The y‐axis usually records the number of individuals in each class interval (frequency). 0 10 20 30 40 50 60 70 80 90 100 1st Qtr 2nd Qtr 3rd Qtr 4th Qtr East West North 0 1 2 3 4 5 6 7 8 1.0‐1.5 m 1.5‐2.0 m 2.0‐2.5 m 2.5‐3.0 m Height of Trees

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Page 1: Choosing Appropriate Graphs - PBworkstfssbio.pbworks.com/f/Choosing+Appropriate+Graphs.pdf · Choosing Appropriate Graphs ... continuous data and are often used to represent frequency

ChoosingAppropriateGraphs or

Whattodowithallthatdata…

BarGraphsareappropriatefordatathatarenon‐numericalanddiscreteforatleastonevariable,i.e.theyaregroupedintoseparatecategories.Therearenodependentorindependentvariables.Importantfeaturesofthistypeofgraphinclude:

• Dataarecollectedfordiscontinuous,non‐numericalcategories(e.g.place,colour,andspecies)sothebarsdonottouch.

• Datavaluesmaybeenteredonorabovethebarsifyouwish.• Multiplesetsofdatacanbedisplayedside‐by‐sidefordirectcomparison(e.g.males

andfemalesofthesameagegroup).• Axesmaybereversedsothatthecategoriesareonthex‐axis,i.e.thebarscanbe

verticalorhorizontal.Whentheyarevertical,thesegraphsaresometimescalledcolumngraphs(MSExcelusesthisnameforverticalbargraphs).

Histogramsareplotsofcontinuousdataandareoftenusedtorepresentfrequencydistributions,wherethey‐axisshowsthenumberoftimesaparticularmeasurementorvaluewasobtained.Forthisreason,theyareoftencalledfrequencyhistograms.Importantfeaturesofthistypeofgraphinclude:

• Thedataarenumericaland

continuous(e.g.heightorweight)sothebarstouch.(AcolumngraphfromExcelcanbemadeintoahistogram).

• Thex‐axisusuallyrecordstheclassinterval.They‐axisusuallyrecordsthenumberofindividualsineachclassinterval(frequency).

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Page 2: Choosing Appropriate Graphs - PBworkstfssbio.pbworks.com/f/Choosing+Appropriate+Graphs.pdf · Choosing Appropriate Graphs ... continuous data and are often used to represent frequency

PieGraphscanbeusedinsteadofbargraphs,generallyincaseswheretherearesixoffewercategoriesinvolved.Apiegraphprovidesstrongvisualimpactoftherelativeproportionsineachcategory,particularlywhereoneofthecategoriesisverydominant.Featuresofpiegraphsinclude:

• Thedataforonevariablearediscontinuous(non‐numericalorcategories).• Thedataforthedependentvariableareusuallyintheformofcounts,proportionsor

percentages.• Piegraphsaregoodforvisualimpactandshowingrelativeproportions.• Theyarenotsuitablefordatasetswithalargenumberofcategories.

LineGraphsareusedwhenonevariable(theindependentvariable)affectsanother,thedependentvariable.Linegraphscanbedrawnwithorwithoutameasureofspread(errorbars).Importantfeaturesoflinegraphsinclude:

• Thedatamustbecontinuousforbothvariables.• Thedependentvariableisusuallythebiologicalresponse.• Theindependentvariableisoftentimeortheexperimentaltreatment.• Incaseswherethereisanimpliedtrend(e.g.onevariableincreaseswiththeother)

alineofbestfitisusuallyplottedthroughthedatapointstoshowtherelationship.• Iffluctuationsinthedataarelikelytobeimportant(e.g.withclimateandother

environmentaldata)thedatapointsareusuallyconnecteddirectly(point‐to‐point).• Linegraphsmaybedrawnwithameasureoferror.Thedataarepresentedas

points(thecalculatedmeans),withbarsaboveandbelow,indicatingameasureofvariabilityorspreadinthedata(e.g.standarderror,standarddeviationor95%confidenceintervals).

• Wherenoerrorvaluehasbeencalculated,thescattercanbeshownbyplottingtheindividualdatapointsverticallyaboveandbelowthemean.Byconvention,barsarenotusedtoindicatetherangeofrawvaluesinadataset.

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Page 3: Choosing Appropriate Graphs - PBworkstfssbio.pbworks.com/f/Choosing+Appropriate+Graphs.pdf · Choosing Appropriate Graphs ... continuous data and are often used to represent frequency

Whenyouaretryingtocomparemultipledatasets,itismostusefultodosoonthesameaxes:

• Ifthetwodatasetsusethesamemeasurementunitsandasimilarrangeofvaluesfortheindependentvariables,onescaleonthey‐axisisused.

• Ifthetwodatasetsusedifferentunitsand/orhaveaverydifferentrangeofvaluesfortheindependentvariable,twoscalesforthey‐axisareused(seeexampleprovided).Thescalescanbeadjustedifnecessarytoavoidoverlappingplots.

• Thetwocurvesmustbedistinguished(usealegend!)

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Page 4: Choosing Appropriate Graphs - PBworkstfssbio.pbworks.com/f/Choosing+Appropriate+Graphs.pdf · Choosing Appropriate Graphs ... continuous data and are often used to represent frequency

Kitegraphsareidealforrepresentingdistributionaldata(e.g.abundancealonganenvironmentalgradient).Theyareelongatedfiguresdrawnalongabaseline.Importantfeaturesofkitegraphsinclude:

• Eachkiterepresentschangesinspeciesabundanceacrossalandscape.Theabundancecanbecalculatedfromthekitewidth.

• Theyofteninvolveplotsformorethanonespecies;thismakesthemgoodforhighlightingprobabledifferencesinhabitatpreferencesbetweenspecies.

• Athinlineonakitegraphrepresentsspeciesabsence(zerovalue).

• Theaxescanbereverseddependinguponpreference.

• Kitegraphsmayalsobeusedtoshowchangesindistributionwithtime,forexamplewithdailyorseasonalcyclesofmovement.

Note–MSExcelwillonlydoakitegraphifyouhavetheMerlinAdd‐In.(PConly)ScatterGraphsareacommonwaytodisplaycontinuousdatawherethereisarelationshipbetweentwointerdependentvariables.Importantfeaturesofscattergraphsinclude:

• Thedataforthegraphmustbecontinuousforbothvariables.• Thereisnoindependent(manipulated)variable,butthevariablesareoften

correlated,i.e.theyvarytogetherinsomepredictableway.• Scattergraphsareusefulfordeterminingtherelationshipbetweentwovariables.• Thepointsonthegraphneednotbeconnected,butalineofbestfitisoftendrawn

throughthepointstoshowtherelationshipbetweenthevariables.o Thismaybedrawnbyeyeorcomputer‐generated.

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