QuantilePlot
✖
QuantilePlot
generates a plot of quantiles of list against the quantiles of a normal distribution.
generates a plot of quantiles of the distribution dist against the quantiles of a normal distribution.
generates a plot of the quantiles of data against the quantiles of rdata.
generates a plot of the quantiles of data against the quantiles of a symbolic distribution rdist.
generates a plot of quantiles of datai against the quantiles of a reference distribution ref.
Details and Options




- QuantilePlot is also known as normal quantile plot in the one-argument form and quantile-quantile (Q-Q) plot in the two-argument form.
- QuantilePlot[data1,data2] works with datai being either a dataset of real values or a symbolic univariate distribution.
- Data for QuantilePlot can be given in the following forms:
-
{e1,e2,…} list of elements with or without wrappers <k1y1,k2y2,… > association of keys and lengths TimeSeries[…],EventSeries[…],TemporalData[…] time series, event series, and temporal data WeightedData[…],EventData[…] augmented datasets w[{e1,e2,…},…] wrapper applied to a whole dataset w[{data1,data1,…},…] wrapper applied to all datasets - For datasets list empirical quantiles are used, and for symbolic distributions dist exact quantiles are used.
- QuantilePlot[data,dist[θ1,…]] with symbolic parameters θi is equivalent to QuantilePlot[data,EstimatedDistribution[data,dist[θ1,…]]].
- The form w[data] or w[dist] provides a wrapper w to be applied to the resulting graphics primitives.
- QuantilePlot[Tabular[…]cspec] extracts and plots values from the tabular object using the column specification cspec.
- The following forms of column specifications cspec are allowed for plotting tabular data:
-
colx plot the values from column x {colx1,colx2,…} plot columns x1, x2, … - The following wrappers can be used:
-
Annotation[e,label] provide an annotation Button[e,action] define an action to execute when the element is clicked EventHandler[e,…] define a general event handler for the element Highlighted[datai,effect] dynamically highlight fi with an effect Highlighted[datai,Placed[effect,pos]] statically highlight fi with an effect at position pos Hyperlink[e,uri] make the element act as a hyperlink PopupWindow[e,cont] attach a popup window to the element StatusArea[e,label] display in the status area when the element is moused over Style[e,opts] show the element using the specified styles Tooltip[e,label] attach an arbitrary tooltip to the element - QuantilePlot has the same options as Graphics, with the following additions and changes: [List of all options]
-
AspectRatio 1/GoldenRatio ratio of width to height ClippingStyle Automatic what to draw where curves are clipped ColorFunction Automatic how to determine the coloring of curves ColorFunctionScaling True whether to scale arguments to ColorFunction Filling None filling to insert under each curve FillingStyle Automatic style to use for filling Joined Automatic whether to join points Mesh None how many mesh points to draw on each curve MeshFunctions {#1&} how to determine the placement of mesh points MeshShading None how to shade regions between mesh points MeshStyle Automatic the style for mesh points Method Automatic methods to use PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotHighlighting Automatic highlighting effect for curves PlotLegends None legends for data points PlotMarkers None markers to use to indicate each point for datasets PlotRange Automatic range of values to include PlotRangeClipping True whether to clip at the plot range PlotStyle Automatic graphics directives to specify the style for each object PlotTheme $PlotTheme overall theme for the plot ReferenceLineStyle Automatic style for the reference line ScalingFunctions None how to scale individual coordinates WorkingPrecision MachinePrecision the precision used in internal computations for symbolic distributions - With Filling->Automatic, the region between a dataset and reference line will be filled. By default, "stems" are used for datasets and "solid" filling is used for symbolic distributions. The setting Joined->True will force "solid" filling for datasets.
- The arguments supplied to functions in MeshFunctions and RegionFunction are
,
. Functions in ColorFunction are by default supplied with scaled versions of these arguments.
- The setting Joined->Automatic is equivalent to Joined->True when comparing two distributions, and Joined->False otherwise.
- The setting PlotStyle->Automatic uses a sequence of different plot styles for different lines.
- With the ReferenceLineStyle->None, no reference line will be drawn.
- Possible highlighting effects for Highlighted and PlotHighlighting include:
-
style highlight the indicated data "Ball" highlight and label the indicated point in data "Dropline" highlight and label the indicated point in data with droplines to the axes "XSlice" highlight and label all points along a vertical slice "YSlice" highlight and label all points along a horizontal slice Placed[effect,pos] statically highlight the given position pos - Highlight position specifications pos include:
-
x, {x} effect at {x,y} with y chosen automatically {x,y} effect at {x,y} {pos1,pos2,…} multiple positions posi - Typical settings for PlotLegends include:
-
None no legend Automatic automatically determine legend {lbl1,lbl2,…} use lbl1, lbl2, … as legend labels Placed[lspec,…] specify placement for legend - With ScalingFunctions->{sx,sy}, the
coordinate is scaled using sx and the
coordinate is scaled using sy.
-
AlignmentPoint Center the default point in the graphic to align with AspectRatio 1/GoldenRatio ratio of width to height Axes False whether to draw axes AxesLabel None axes labels AxesOrigin Automatic where axes should cross AxesStyle {} style specifications for the axes Background None background color for the plot BaselinePosition Automatic how to align with a surrounding text baseline BaseStyle {} base style specifications for the graphic ClippingStyle Automatic what to draw where curves are clipped ColorFunction Automatic how to determine the coloring of curves ColorFunctionScaling True whether to scale arguments to ColorFunction ContentSelectable Automatic whether to allow contents to be selected CoordinatesToolOptions Automatic detailed behavior of the coordinates tool Epilog {} primitives rendered after the main plot Filling None filling to insert under each curve FillingStyle Automatic style to use for filling FormatType TraditionalForm the default format type for text Frame False whether to put a frame around the plot FrameLabel None frame labels FrameStyle {} style specifications for the frame FrameTicks Automatic frame ticks FrameTicksStyle {} style specifications for frame ticks GridLines None grid lines to draw GridLinesStyle {} style specifications for grid lines ImageMargins 0. the margins to leave around the graphic ImagePadding All what extra padding to allow for labels etc. ImageSize Automatic the absolute size at which to render the graphic Joined Automatic whether to join points LabelStyle {} style specifications for labels Mesh None how many mesh points to draw on each curve MeshFunctions {#1&} how to determine the placement of mesh points MeshShading None how to shade regions between mesh points MeshStyle Automatic the style for mesh points Method Automatic methods to use PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotHighlighting Automatic highlighting effect for curves PlotLabel None an overall label for the plot PlotLegends None legends for data points PlotMarkers None markers to use to indicate each point for datasets PlotRange Automatic range of values to include PlotRangeClipping True whether to clip at the plot range PlotRangePadding Automatic how much to pad the range of values PlotRegion Automatic the final display region to be filled PlotStyle Automatic graphics directives to specify the style for each object PlotTheme $PlotTheme overall theme for the plot PreserveImageOptions Automatic whether to preserve image options when displaying new versions of the same graphic Prolog {} primitives rendered before the main plot ReferenceLineStyle Automatic style for the reference line RotateLabel True whether to rotate y labels on the frame ScalingFunctions None how to scale individual coordinates Ticks Automatic axes ticks TicksStyle {} style specifications for axes ticks WorkingPrecision MachinePrecision the precision used in internal computations for symbolic distributions
List of all options




Examples
open allclose allBasic Examples (5)Summary of the most common use cases
Compare data to a normal distribution:

https://wolfram.com/xid/0i1u2hihu-i0dg7j

https://wolfram.com/xid/0i1u2hihu-be0npo

Compare data to a specific distribution:

https://wolfram.com/xid/0i1u2hihu-ha7sr3

https://wolfram.com/xid/0i1u2hihu-dltjq6

Compare data to an estimated distribution:

https://wolfram.com/xid/0i1u2hihu-nugx0c


https://wolfram.com/xid/0i1u2hihu-sxrwrt


https://wolfram.com/xid/0i1u2hihu-bwvzym

https://wolfram.com/xid/0i1u2hihu-qm8ph7

Compare several datasets and include a legend:

https://wolfram.com/xid/0i1u2hihu-gr0pha

https://wolfram.com/xid/0i1u2hihu-ut1ev

Scope (25)Survey of the scope of standard use cases
Data and Distributions (11)
QuantilePlot works with numeric data:

https://wolfram.com/xid/0i1u2hihu-xl

QuantilePlot works with symbolic distributions:

https://wolfram.com/xid/0i1u2hihu-m0l

Use multiple datasets and distributions:

https://wolfram.com/xid/0i1u2hihu-4esvf

The default reference distribution is the closest estimated NormalDistribution:

https://wolfram.com/xid/0i1u2hihu-dr7ujf

https://wolfram.com/xid/0i1u2hihu-dg02bz

Specify data or distributions as the reference:

https://wolfram.com/xid/0i1u2hihu-zlihz3

https://wolfram.com/xid/0i1u2hihu-f6deif

Reference distributions are estimated for each dataset:

https://wolfram.com/xid/0i1u2hihu-65yd6y

https://wolfram.com/xid/0i1u2hihu-rn7zc4

Estimate specific reference distributions for numeric datasets:

https://wolfram.com/xid/0i1u2hihu-1y6gc0

Use all forms of built-in distributions:

https://wolfram.com/xid/0i1u2hihu-wlmg14

https://wolfram.com/xid/0i1u2hihu-47vk1


https://wolfram.com/xid/0i1u2hihu-3eex2k


https://wolfram.com/xid/0i1u2hihu-qxad5

Numeric values in an association are used as the coordinates:

https://wolfram.com/xid/0i1u2hihu-vy1wh8

Numeric keys and values in an association are used as the and
coordinates:

https://wolfram.com/xid/0i1u2hihu-wkbmwq


https://wolfram.com/xid/0i1u2hihu-rgbns3


https://wolfram.com/xid/0i1u2hihu-rw10t7

The weights in WeightedData are ignored:

https://wolfram.com/xid/0i1u2hihu-76w2jt

Tabular Data (1)

https://wolfram.com/xid/0i1u2hihu-wbvnn2

Compare the data to a normal distribution:

https://wolfram.com/xid/0i1u2hihu-g1wdpx

Compare multiple sets of data:

https://wolfram.com/xid/0i1u2hihu-f5vu4z

Use PivotToColumns to generate columns of "SepalWidth" per species:

https://wolfram.com/xid/0i1u2hihu-h3ud2v

Compare probability of sepal width per species:

https://wolfram.com/xid/0i1u2hihu-3nog43

Use abbreviated names for extended keys when the elements are unique:

https://wolfram.com/xid/0i1u2hihu-b1o1fc


https://wolfram.com/xid/0i1u2hihu-c2ixb6

Presentation (13)
Multiple datasets are automatically colored to be distinct:

https://wolfram.com/xid/0i1u2hihu-jtr7wy

https://wolfram.com/xid/0i1u2hihu-bivltz

Provide explicit styling to different sets:

https://wolfram.com/xid/0i1u2hihu-lfjuoq

https://wolfram.com/xid/0i1u2hihu-05k80k

Include legends for each dataset:

https://wolfram.com/xid/0i1u2hihu-29fpkz

https://wolfram.com/xid/0i1u2hihu-svqzyx


https://wolfram.com/xid/0i1u2hihu-jsuhnx

Use specific styles for the reference line:

https://wolfram.com/xid/0i1u2hihu-dua2d


https://wolfram.com/xid/0i1u2hihu-sscmlz

Provide an interactive Tooltip for the data:

https://wolfram.com/xid/0i1u2hihu-tmzju6

Provide a specific tooltip for the data:

https://wolfram.com/xid/0i1u2hihu-fchv0g

https://wolfram.com/xid/0i1u2hihu-yvgs4g


https://wolfram.com/xid/0i1u2hihu-xfs9r1

https://wolfram.com/xid/0i1u2hihu-gpp62q

Use shapes to distinguish different datasets:

https://wolfram.com/xid/0i1u2hihu-zbu0t3

Use Joined to connect datasets with lines:

https://wolfram.com/xid/0i1u2hihu-di7k8h


https://wolfram.com/xid/0i1u2hihu-o3mj6e

https://wolfram.com/xid/0i1u2hihu-7zp37u

Plots usually have interactive callouts showing the coordinates when you mouse over them:

https://wolfram.com/xid/0i1u2hihu-wniqin

Including specific wrappers or interactions, such as tooltips, turns off the interactive features:

https://wolfram.com/xid/0i1u2hihu-74c01s

Choose from multiple interactive highlighting effects:

https://wolfram.com/xid/0i1u2hihu-cs0ql4

Options (84)Common values & functionality for each option
AspectRatio (1)
AxesLabel (1)
ClippingStyle (4)
Omit clipped regions of the plot:

https://wolfram.com/xid/0i1u2hihu-0qcqac

Show the clipped regions like the rest of the curve:

https://wolfram.com/xid/0i1u2hihu-5ck1a8

Show the clipped regions with red lines:

https://wolfram.com/xid/0i1u2hihu-81jvaq

Show the clipped regions as red and thick:

https://wolfram.com/xid/0i1u2hihu-c3n8bs

ColorFunction (6)
ColorFunction requires at least one dataset to be Joined:

https://wolfram.com/xid/0i1u2hihu-qndjj3

Color by scaled and
coordinates:

https://wolfram.com/xid/0i1u2hihu-u20z4a

Color with a named color scheme:

https://wolfram.com/xid/0i1u2hihu-n3g70b

Fill to the reference line with the color used for the curve:

https://wolfram.com/xid/0i1u2hihu-lwp

ColorFunction has higher priority than PlotStyle for coloring the curve:

https://wolfram.com/xid/0i1u2hihu-p0uon

Use Automatic in MeshShading to use ColorFunction:

https://wolfram.com/xid/0i1u2hihu-6xbe8y

ColorFunctionScaling (2)
Filling (7)
Fill from data to the reference line:

https://wolfram.com/xid/0i1u2hihu-zy9b3s

Use symbolic or explicit values for filling:

https://wolfram.com/xid/0i1u2hihu-insrrc


https://wolfram.com/xid/0i1u2hihu-hgt06w

Curves fill with solid regions:

https://wolfram.com/xid/0i1u2hihu-wx4q3z

Fill from the third dataset to the axis:

https://wolfram.com/xid/0i1u2hihu-rtozy1

Fill between datasets using a particular style:

https://wolfram.com/xid/0i1u2hihu-ba0u8a

Use different styles above and below the filling level:

https://wolfram.com/xid/0i1u2hihu-zigo27

Filling only applies where the datasets overlap:

https://wolfram.com/xid/0i1u2hihu-pppc1h

FillingStyle (3)
Joined (2)
Mesh (4)
Use 20 mesh levels evenly spaced in the direction:

https://wolfram.com/xid/0i1u2hihu-gfbk92

Use the mesh to divide the curve into deciles:

https://wolfram.com/xid/0i1u2hihu-se6467

Use an explicit list of values for the mesh in the direction:

https://wolfram.com/xid/0i1u2hihu-cbjjqo

Specify Style and mesh levels in the direction:

https://wolfram.com/xid/0i1u2hihu-dft9a9

MeshFunctions (2)
MeshShading (6)
Alternate red and blue segments of equal width in the direction:

https://wolfram.com/xid/0i1u2hihu-gky3tn

Use None to remove segments:

https://wolfram.com/xid/0i1u2hihu-vr08fl

MeshShading can be used with PlotStyle:

https://wolfram.com/xid/0i1u2hihu-fap4gj

MeshShading has higher priority than PlotStyle for styling the curve:

https://wolfram.com/xid/0i1u2hihu-kblnl4

Use PlotStyle for some segments by setting MeshShading to Automatic:

https://wolfram.com/xid/0i1u2hihu-ojnwt3

MeshShading can be used with ColorFunction:

https://wolfram.com/xid/0i1u2hihu-54kv4p

MeshStyle (4)
Color the mesh the same color as the plot:

https://wolfram.com/xid/0i1u2hihu-0w1c10

Use a red mesh in the direction:

https://wolfram.com/xid/0i1u2hihu-e2f67g

Use a red mesh in the direction and a blue mesh in the
direction:

https://wolfram.com/xid/0i1u2hihu-j9hdji

Use big red mesh points in the direction:

https://wolfram.com/xid/0i1u2hihu-7w0q6r

Method (4)
By default, the reference line is drawn through the first and third quartiles of data:

https://wolfram.com/xid/0i1u2hihu-et3730

Draw the best-fit line through data:

https://wolfram.com/xid/0i1u2hihu-ipu4ll

The reference line represents the reference distribution:

https://wolfram.com/xid/0i1u2hihu-ugtuln

Draw a diagonal reference line:

https://wolfram.com/xid/0i1u2hihu-q54gss

PlotHighlighting (9)
Plots have interactive coordinate callouts with the default setting PlotHighlightingAutomatic:

https://wolfram.com/xid/0i1u2hihu-f9xj4z

Use PlotHighlightingNone to disable the highlighting for the entire plot:

https://wolfram.com/xid/0i1u2hihu-ctwco

Move the mouse over a set of points to highlight it using arbitrary graphics directives:

https://wolfram.com/xid/0i1u2hihu-l99hp

Move the mouse over the points to highlight them with balls and labels:

https://wolfram.com/xid/0i1u2hihu-ct94tc

Move the mouse over the curve to highlight it with a label and droplines to the axes:

https://wolfram.com/xid/0i1u2hihu-f98hdr

Move the mouse over the plot to highlight it with a slice showing values corresponding to the
position:

https://wolfram.com/xid/0i1u2hihu-jx9c4v

Move the mouse over the plot to highlight it with a slice showing values corresponding to the
position:

https://wolfram.com/xid/0i1u2hihu-8uf2t

Use a component that shows the points on the plot closest to the position of the mouse cursor:

https://wolfram.com/xid/0i1u2hihu-cre9f4

Specify the style for the points:

https://wolfram.com/xid/0i1u2hihu-e3g5r

Use a component that shows the coordinates on the points closest to the mouse cursor:

https://wolfram.com/xid/0i1u2hihu-fbd1le

Use Callout options to change the appearance of the label:

https://wolfram.com/xid/0i1u2hihu-92q2o

Combine components to create a custom effect:

https://wolfram.com/xid/0i1u2hihu-his8uk

PlotLegends (7)
By default, no legends are used:

https://wolfram.com/xid/0i1u2hihu-31d4aq

Generate a legend using labels:

https://wolfram.com/xid/0i1u2hihu-2l9hwo

Generate a legend using placeholders:

https://wolfram.com/xid/0i1u2hihu-m2tbba

Legends use the same styles as the plot:

https://wolfram.com/xid/0i1u2hihu-yrztzn

Use Placed to specify the legend placement:

https://wolfram.com/xid/0i1u2hihu-w6apfn

Place the legend inside the plot:

https://wolfram.com/xid/0i1u2hihu-5ao9sp

Use LineLegend to change the legend appearance:

https://wolfram.com/xid/0i1u2hihu-vtvtyt

PlotMarkers (7)
QuantilePlot normally uses distinct colors to distinguish different sets of data:

https://wolfram.com/xid/0i1u2hihu-vseih0

https://wolfram.com/xid/0i1u2hihu-c6cy0

Use colors and shapes to distinguish sets of data:

https://wolfram.com/xid/0i1u2hihu-8769vn

https://wolfram.com/xid/0i1u2hihu-nnrwdr


https://wolfram.com/xid/0i1u2hihu-yhp5uo

https://wolfram.com/xid/0i1u2hihu-7huysu

Change the size of the default plot markers:

https://wolfram.com/xid/0i1u2hihu-moydbn

https://wolfram.com/xid/0i1u2hihu-p65wd4

Use arbitrary text for plot markers:

https://wolfram.com/xid/0i1u2hihu-vf7kqw

https://wolfram.com/xid/0i1u2hihu-9pxjmg

Use explicit graphics for plot markers:

https://wolfram.com/xid/0i1u2hihu-z1urqj

https://wolfram.com/xid/0i1u2hihu-h6a5r8

Use the same symbol for all the sets of data:

https://wolfram.com/xid/0i1u2hihu-f9nepu

https://wolfram.com/xid/0i1u2hihu-p2hyvg

PlotRange (3)
PlotRange is automatically calculated:

https://wolfram.com/xid/0i1u2hihu-rkxjft


https://wolfram.com/xid/0i1u2hihu-d3g0or

Show the distribution for between 1 and 2 and
between -1 and 3:

https://wolfram.com/xid/0i1u2hihu-7qm9tc

PlotStyle (3)
Use different style directives:

https://wolfram.com/xid/0i1u2hihu-le4jhi

By default, different styles are chosen for multiple curves:

https://wolfram.com/xid/0i1u2hihu-fopx6f

Explicitly specify the style for different curves:

https://wolfram.com/xid/0i1u2hihu-5zl554

PlotTheme (2)
ReferenceLineStyle (4)
ReferenceLineStyle by default uses a Dotted form of PlotStyle:

https://wolfram.com/xid/0i1u2hihu-cngh5y

Draw a red dotted reference line:

https://wolfram.com/xid/0i1u2hihu-woov1k

Draw a solid red reference line:

https://wolfram.com/xid/0i1u2hihu-jyaepr

Use None to turn off the reference line:

https://wolfram.com/xid/0i1u2hihu-7zeffp

ReferenceLineStyle can be combined with PlotStyle:

https://wolfram.com/xid/0i1u2hihu-6uil8q

Applications (5)Sample problems that can be solved with this function
Visually test whether data was drawn from a particular distribution:

https://wolfram.com/xid/0i1u2hihu-e51bnw
Linearity occurs when the data was drawn from the reference distribution:

https://wolfram.com/xid/0i1u2hihu-h4ixcl

Deviations from linearity occur when the data was not drawn from the reference distribution:

https://wolfram.com/xid/0i1u2hihu-jgpz95

The residuals resulting from a LinearModelFit should be normally distributed. Here, some data is simulated with normal and exponential noise of equal variance:

https://wolfram.com/xid/0i1u2hihu-f13x0f

https://wolfram.com/xid/0i1u2hihu-jeuz0f
Fit linear models to the simulated data:

https://wolfram.com/xid/0i1u2hihu-snrfq

https://wolfram.com/xid/0i1u2hihu-bedvro

There is strong visual evidence that the residuals are not normal in the first model:

https://wolfram.com/xid/0i1u2hihu-l8yc8

DistributionFitTest can be used to make a quantitative statement about normality:

https://wolfram.com/xid/0i1u2hihu-k4r226


https://wolfram.com/xid/0i1u2hihu-drdvrk

The heights of singers from the New York Choral Society were recorded along with the voice part of each singer. Voice parts, in increasing order of pitch, include bass, tenor, alto, and soprano:

https://wolfram.com/xid/0i1u2hihu-nw8do
The mean heights for each voice part:

https://wolfram.com/xid/0i1u2hihu-lljelb

Plotting the height quantiles of Soprano 1 against the other voice parts suggests that there is an additive shift in height with a voice part:

https://wolfram.com/xid/0i1u2hihu-f26jrb

Rainfall, in acre-feet, was recorded from 52 clouds, of which 26 were chosen randomly and seeded with silver oxide:

https://wolfram.com/xid/0i1u2hihu-hy3pkk

https://wolfram.com/xid/0i1u2hihu-kiny0o
Clearly, the seeded clouds produce more rain than the control:

https://wolfram.com/xid/0i1u2hihu-wbffv

A log-log scaled plot suggests that the increase is about one order of magnitude:

https://wolfram.com/xid/0i1u2hihu-zt8rd

Compare two time slices for a random process:

https://wolfram.com/xid/0i1u2hihu-ddkzvs

https://wolfram.com/xid/0i1u2hihu-h7wgiu

Properties & Relations (9)Properties of the function, and connections to other functions
With no second argument, data is compared against an estimated normal distribution:

https://wolfram.com/xid/0i1u2hihu-kfixsd

https://wolfram.com/xid/0i1u2hihu-g8t18u

Comparing with UniformDistribution[{0,1}] is equivalent to plotting the quantile:

https://wolfram.com/xid/0i1u2hihu-3ckt0

https://wolfram.com/xid/0i1u2hihu-f8504t

ProbabilityPlot compares CDF values for the data.

https://wolfram.com/xid/0i1u2hihu-m1z25u

https://wolfram.com/xid/0i1u2hihu-d9gyl5

ProbabilityScalePlot scales the axes so that points from distributions are on a straight line:

https://wolfram.com/xid/0i1u2hihu-hwi0gl

https://wolfram.com/xid/0i1u2hihu-9pnndn

BoxWhiskerChart and DistributionChart can be used to visualize the distribution of data:

https://wolfram.com/xid/0i1u2hihu-nhk363

https://wolfram.com/xid/0i1u2hihu-8qhfu8

SmoothHistogram and Histogram can be used to visualize the distribution of data:

https://wolfram.com/xid/0i1u2hihu-lg3ivr

https://wolfram.com/xid/0i1u2hihu-da1hac

DiscretePlot can be used to visualize the discrete distributions:

https://wolfram.com/xid/0i1u2hihu-2qycmh

Use ListPlot to see the data:

https://wolfram.com/xid/0i1u2hihu-17hocn

https://wolfram.com/xid/0i1u2hihu-zu3qwy

QuantilePlot ignores time stamps when input is a TimeSeries:

https://wolfram.com/xid/0i1u2hihu-wbbibj

https://wolfram.com/xid/0i1u2hihu-zsmm0f

Wolfram Research (2010), QuantilePlot, Wolfram Language function, https://reference.wolfram.com/language/ref/QuantilePlot.html (updated 2025).
Text
Wolfram Research (2010), QuantilePlot, Wolfram Language function, https://reference.wolfram.com/language/ref/QuantilePlot.html (updated 2025).
Wolfram Research (2010), QuantilePlot, Wolfram Language function, https://reference.wolfram.com/language/ref/QuantilePlot.html (updated 2025).
CMS
Wolfram Language. 2010. "QuantilePlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/QuantilePlot.html.
Wolfram Language. 2010. "QuantilePlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/QuantilePlot.html.
APA
Wolfram Language. (2010). QuantilePlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/QuantilePlot.html
Wolfram Language. (2010). QuantilePlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/QuantilePlot.html
BibTeX
@misc{reference.wolfram_2025_quantileplot, author="Wolfram Research", title="{QuantilePlot}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/QuantilePlot.html}", note=[Accessed: 27-March-2025
]}
BibLaTeX
@online{reference.wolfram_2025_quantileplot, organization={Wolfram Research}, title={QuantilePlot}, year={2025}, url={https://reference.wolfram.com/language/ref/QuantilePlot.html}, note=[Accessed: 27-March-2025
]}