Histograms are for continuous data. A binary variable histogram draws a histogram of a single continuous or categorical variable , with the bars separated by the two values of a given binary variable . Contribute to latifkabir/Computation_using_Matlab development by creating an account on GitHub. %[counts_5_10, centers_5_10] = hist(data); CDF=cumsum(probability/sum(probability)); CDF=cumsum(probability./sum(probability)); I believe you are looking for histcounts() instead of histogram(). I have two variables x and y. I want the data to be binned into regular intervals based on x values, but frequency to be calculated as the sum of Y for all X values in each interval. Every time I do bar (data), I get the 1000+ points on the x axis and 1-4 on the y axis. Find the treasures in MATLAB Central and discover how the community can help you! Screened-Instructor. Use the stem method to plot . So you will need to set the axes limits anyway. Step 1: Create the random variable A survey of commonly used fundamental methods to generate a given random variable is given in [1]. MATLABEMG MATLABEMG sigma bin I can make a histogram no problem but I want to have a histogram-styled bar graph. Dividing a range into bins in matlab. Accelerating the pace of engineering and science. Controller System Performance in Simulink for SLRT. Knowledge-based, broadly deployed natural language. You can use this object to inspect the properties of the histogram, such as the number of bins or the width of the bins. A: From given data we have : Observed Frequencies under 20 B1 20 to 29 B2 30 to 39 B3 40 or Over question_answer Q: 6 3.47 2.65 2.77 3.26 3.00 2.70 3.20 3.39 3.00 3.19 2.58 2.98 Past years have shown the Creation Syntax histogram (X) histogram (X,nbins) Now let's move to some examples. I'm struggling a lot to plot histogram using R for the following data: This is a single row of data. Based on How can I get this information from the new histogram function? Do I have to use a categorical histogram or bar to get this effect? I have a set of 100 datapoints that I have split into 10 bins and displayed as a histogram, however I would like to display it as a relative frequency histogram so I need to scale the height of each bin by 100. Description. geom_bar is meant to be used for that. This example shows how to overlay a line plot on a stairstep plot. 33 01 : 26. Ising model). Choose a web site to get translated content where available and see local events and Access MATLAB Drive. Histograms are a type of bar plot for numeric data that group the data into bins. NumLearnedFeatures . Asking for help, clarification, or responding to other answers. With a large data set you might want to see if individual variables are correlated. Plot data from a categorical array. For example: I know that geom_bar() alone will count levels for you if you use data$levels in aes(), BUT count.df carries that info so you can use it elsewhere. I have attached a sample picture. Work with your files from anywhere, share with others. How can I combine a video and audio file together from m3u8? Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. Accelerating the pace of engineering and science. MATLAB histogram. This section lists all of the valid keys that a histogram2d struct can contain. 25 14 : 44 . We do not currently allow content pasted from ChatGPT on Stack Overflow; read our policy here. Have you looked at the documentation for histogram? Unable to complete the action because of changes made to the page. this is utterly invaluable advice Many, many thanks for sharing this. This code was fine for me. Data Distribution Plots. However, a histogram, unlike a vertical bar graph, shows no gaps between the bars. Other MathWorks country sites are not optimized for visits from your location. For example, state (1,3,1,0,1,1,1) means first been contain 1 data, and so on. Thank you so much for your kind suggestions and time. A histogram can be created by using the inbuilt function histogram (). After you create a Histogram object, you can modify aspects of the histogram by changing its property values. Thanks for contributing an answer to Stack Overflow! Do bracers of armor stack with magic armor enhancements and special abilities? MathWorks is the leading developer of mathematical computing software for engineers and scientists. A categorical array provides efficient storage and convenient manipulation of nonnumeric data.. "/> how to get to outland from orgrimmar wotlk; 1980 trans am specs; 6 days past 5 day transfer; fine bone china tea cups; Creation of Histogram in Matlab: MATLAB makes it a single click action to create a histogram for any data. How can I make an aggregate for multiple databases in one? The steps to be followed for this example are: Create a vector 'a'. Reddit and its partners use cookies and similar technologies to provide you with a better experience. Observe maximum and minimum intensities from the histogram. One example: 's answer, the 2nd output to histcounts are actually the bin edges, is a misleading name for that variable. % if the value of bins is not given then. Reload the page to see its updated state. poisson) You can generate poisson distributions in matlab with poisspdf(). The X is a vector. Now, evidently in the above state there are total 8 (=1+3+1+0+1+1+1) events. The squares corresponding to 0s would be blue, the squares corresponding to 1s would be red, let's say. Why is the federal judiciary of the United States divided into circuits? Be careful about doing this, since each unique numeric value will get a bar, regardless of the spacing in values between bars. Visualize discrete data using plots such as bar graphs or stem plots. In FSX's Learning Center, PP, Lesson 4 (Taught by Rod Machado), how does Rod calculate the figures, "24" and "48" seconds in the Downwind Leg section? I want to create a histogram. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values (called "bins"). This example shows how to combine a line plot and two stem plots. For that, at first I am plotting the dataset into histogram using histogram function. I have. A Histogram is a diagrammatic representation of a group of data over user-specified ranges. categorical is a data type to store data with values from a finite set of discrete categories. The output, bincounts, contains the number of elements from x in each bin. This example shows how to modify a 3-D bar plot by coloring each bar according to its height. Load the patients data set and create a table from a subset of the variables loaded into the workspace. The last bin contains both edges such that edges (N) <= X (i) <= edges (N+1). How could my characters be tricked into thinking they are on Mars? rev2022.12.11.43106. Thats why I plot them to histogram to get the values and the propbabaility of the values. Image histograms. For example, use a histogram to group data into bins and display the number of elements in each bin. Create a bar chart with error bars using both the bar and errorbar functions. MATLAB - scatterhistogram Scatter Histogram Chart with Tabular Data. You may receive emails, depending on your. Is there any built in function to be able to use 1/3 and Press J to jump to the feed. The j th bin contains element X (i) if edges (j) <= X (i) < edges (j+1) for 1 <= j < N, where N is the number of bins and length (edges) = N+1. Visualize the distribution of data using plots such as histograms, pie charts, or word clouds. % generate 10,000 random numbers. You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. MathWorks is the leading developer of mathematical computing software for engineers and scientists. To create a binary variable histogram in Stata you first need to download the byhist command from the SSC, which you do using the following command in Stata:. Find the treasures in MATLAB Central and discover how the community can help you! Example: The below code is written to generate 100 random numbers and histogram () is used to plot a histogram for the generated data. Why does my stock Samsung Galaxy phone/tablet lack some features compared to other Samsung Galaxy models? your location, we recommend that you select: . Btw, if you don't need probability, the CDF can be directly calculated as follows: Actually, I can dot that but I want to set my BinWidth also. histogram, histcounts, and discretize are the recommended histogram creation and computation functions for new code. I need to pot histogram of the number player vs the number of levels played. Traces. 1 MATLAB - How do I apply a standard deviation threshold when calculating a histogram from signal data in MATLAB . % with this 'centers' will have the same size as CDF. What properties should my fictional HEAT rounds have to punch through heavy armor and ERA? bincounts = histc (x,binranges) counts the number of values in x that are within each specified bin range. y=randn (10000,1) % hist function to plot the histogram. You want a bar chart. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Choose a web site to get translated content where available and see local events and offers. Then, create a scatter histogram chart comparing the Height values to the Weight . The histogram of a digital image with the possible levels of intensity in the range [0, G] is defined as a discrete function: h(rk)=nk % this function choose appropriate. Calculating integrals through Matlab, having trouble Blog post about the new R2022b MATLAB beta for Apple Silicon. Each ip address is unique and multiple levels can be played by single ip address. How can I use the sum of two table columns on another page? Bar graphs are useful for viewing results over a period of time, comparing results from different data sets, and showing how individual elements contribute to an aggregate amount. values that they represent. 0. scatter and histogram on same plot in r. 0. align histogram and scatter plot in R. 0. matlab histogram plotting: setting specific x-axis label. If x is a vector, then histc returns bincounts as a vector of histogram bin counts. You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. Plot a discrete data distribution (e.g. A histogram2d trace is a struct inside fig.data which has type equal to 'histogram2d'. Code: data = randn (100,1); to compare to data). Thanks, Adam. Description example Y = discretize (X,edges) returns the indices of the bins that contain the elements of X. I have double array of 1000+ values that could be 1, 2, 3, 4. Disconnect vertical tab connector from PCB. Do I have to use a categorical histogram or bar to get this effect? for your suggestion. Interpolating scattered data using scatteredInterpolant. https://www.mathworks.com/matlabcentral/answers/215157-how-do-i-create-discrete-intervals-sum-relevant-data-and-produce-a-histogram, https://www.mathworks.com/matlabcentral/answers/215157-how-do-i-create-discrete-intervals-sum-relevant-data-and-produce-a-histogram#comment_282983, https://www.mathworks.com/matlabcentral/answers/215157-how-do-i-create-discrete-intervals-sum-relevant-data-and-produce-a-histogram#comment_284553, https://www.mathworks.com/matlabcentral/answers/215157-how-do-i-create-discrete-intervals-sum-relevant-data-and-produce-a-histogram#answer_177881, https://www.mathworks.com/matlabcentral/answers/215157-how-do-i-create-discrete-intervals-sum-relevant-data-and-produce-a-histogram#comment_282985. So 10 bins have 11 edges. Based on your location, we recommend that you select: . your location, we recommend that you select: . In this example, we will use the xcorr method to compute the cross-correlation between 2 vectors. offers. The input, binranges, determines the endpoints for each bin. Change image type from uint8 to double. MathWorks is the leading developer of mathematical computing software for engineers and scientists. My professor is asking us to: Divide the range into N = 10 equal-length segments (hereafter called "bins"), and for each bin, find its bounds (aj, bj) as well as its center cj. Save frequency data of histogram in Matlab. The plotmatrix function returns two outputs. Web browsers do not support MATLAB commands. As another caution, it might be tempting to use seaborn's countplot function to plot the distribution of a discrete numeric variable as bars. MATLABEMG200MATLABEMG Histograms are for continuous data. I cannot extract the X-axes dataset (unique values among the 1000). There may be a non-linear least squares way that's better. I was able to successfully plot scatter plot, points, lines etc. Thanks ! In 2012b, it does not exit. Display image and modified histogram. Technology-enabling science of the computational universe. https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#answer_406200, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_777591, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_777593, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_777594, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_777776, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_777872, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_777919, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_777988, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_778002, https://www.mathworks.com/matlabcentral/answers/496414-how-can-i-get-data-from-histogram#comment_778236. Can several CRTs be wired in parallel to one oscilloscope circuit? Connect and share knowledge within a single location that is structured and easy to search. This example shows how to modify properties of the baseline of a bar graph. thanks, I could solve my problem. Help us identify new roles for community members, Proposing a Community-Specific Closure Reason for non-English content, Sort (order) data frame rows by multiple columns, How to join (merge) data frames (inner, outer, left, right). Stacked Histogram in R ggplot with 100+ qualitative colors, Specify the colour of ggpairs plot using a variable but not plot that variable. Functions expand all Distribution Charts Bubble Charts In MATLAB we have a function named hist () which allows us to plot a bar graph. Thats why I plot them to histogram to get the values and the propbabaility of the values. Hot Network Questions You will also learn to use MATLAB to simulate a time-series of Brownian motion (diffusion), to analyse time-series data , and to plot and export the results as pretty figures ready for publication. Making statements based on opinion; back them up with references or personal experience. It's probably not the best way since you're fitting the log of the histogram counts instead of the counts so it seems to make the amplitude a little less. x = 0:1:5; mean = 1; y = poisspdf(x,mean); plot(x,y,'k*'); But wouldn't it be nice to plot this data as a histogram (e.g. Matlab generate normal distribution with mean and variance. Create a scatter plot with marginal histograms from a table of data for medical patients. My data set is real number, for example, 0.001,0.005 sec. sites are not optimized for visits from your location. Apply a formula for histogram normalization. Example #1. you could skip h to save the current figure. Steps: Read the image. (5) Place each measured bacterial count xi into that bin whose lower bound is less than or equal to xi and whose upper bound is . For example, use a histogram to group data into bins and display the number of elements in each bin. For example, you MATLAB- Basic Histogram Plotting. Every time I do bar(data), I get the 1000+ points on the x axis and 1-4 on the y axis. How to make 3D Histogram plots in MATLAB with Plotly. As you can see in the sample picture in my problem statement, I want it no of levels played vs number of players not per player. Does integrating PDOS give total charge of a system? I think what you are looking for is actually a bar plot, not a histogram. nbins = 38. - lmo Jul 5, 2017 at 0:48 Add a comment 3 Answers Sorted by: 10 I think what you are looking for is actually a bar plot, not a histogram. Wolfram Science. Other MathWorks country Mathematica cannot find square roots of some matrices? HISTOGRAM_DISCRETE, a MATLAB program which creates a histogram of discrete data. or B. can create a vertical or horizontal bar graph where the bar lengths are proportional to the I have double array of 1000+ values that could be 1, 2, 3, 4. The y axis should be frequency (which is the histogram part) while the x axis is the xdata used to plot the histogram. State mean number of data points falling in each bin of histogram. Convert back into unit format. Example 1: A simple Histogram: MATLAB. Let's name all 8 events like this - a,b,c,d . Press question mark to learn the rest of the keyboard shortcuts. MATLAB offers a wide variety of ways to plot discrete data. To get the true. When you specify an output argument to the histogram function, it returns a histogram object. MATLAB Figure Reference: histogram2d. h is the handle of figure. Data Distribution Plots Histograms, pie charts, word clouds, and more Visualize the distribution of data using plots such as histograms, pie charts, or word clouds. 272analytics Videos. Basically, the histogram contains several bins. But this exactly not what I need. You can save it as .fig too. Reload the page to see its updated state. Bins are non-overlapping intervals in which the data is spread. My dataset contain error of times of 1000 samples. Recommended Histogram Functions The histogram, histcounts, and discretize functions dramatically advance the capabilities of histogram creation and calculation in MATLAB, while still promoting consistency and ease of use. with a sharp peak at 0. Not the answer you're looking for? By rejecting non-essential cookies, Reddit may still use certain cookies to ensure the proper functionality of our platform. Among 1000, we may have only distinct 200 values (others are repetition, so I want the numbe of occurrance of each values). How can I import a csv file with properly formatting dates? You want a bar chart. I updated the answer with 'BinWidth'. 1 4 4 comments Best Add a Comment phsics 4 yr. ago For . . An attempt was made to come up with a sensible formulation of the MATLAB Graphics 2-D and 3-D Plots Category Line Plots Data Distribution Plots Discrete Data Plots Geographic Plots Polar Plots Contour Plots Vector Fields Surfaces, Volumes, and Polygons Animation Documentation Examples Functions Apps Videos Answers Trial Software Trial Software Product Updates Product Updates Resources Documentation Examples Hey ! geom_bar is meant to be used for that. For this demonstration, we will consider the normal random variable with the following parameters : - mean and - standard deviation. Histograms, pie charts, word clouds, and more. Accelerating the pace of engineering and science. It is similar to a vertical bar graph. guessing here you want the counts of your discrete values on the y-axis, and assuming d is a column vector: Note: not sure which version of Matlab the categorical type got introduced - if you are on an earlier release simply looping through your data and counting instances will do the job as well. For example: library (ggplot2) ggplot (diamonds, aes (cut)) + geom_bar () Share Improve this answer Follow offers. Resources for Computation using Matlab . MOSFET is getting very hot at high frequency PWM, Books that explain fundamental chess concepts, QGIS expression not working in categorized symbology. This code was fine for me. Load sample data gathered from 100 . What I would like to be able to do is take the random data (which is an N x N array of 0s and 1s) and plot it in a 2D grid of squares. Why does Cauchy's equation for refractive index contain only even power terms? Choose a web site to get translated content where available and see local events and Unable to complete the action because of changes made to the page. for example : p1 : l1,l2,l2 (pl player 3 levels of game) p2: l3,l1 (p2 played 2 levels of game) p3: l1 (p3 played 1 level of game) so required histogram will be like : x axis : (num of levels) 1 2 3 4 5 .. y axis : (num of player) 1 1 1 something like that. 1) You can limit the histogram range you see on the plot by just setting the X axes limits: xlim ( [-20 20]) Setting bins in hist command is good, but remember thatall the values outside the bins will fall into the most left and right bin. The sample data from which statistics are computed is set in `x` and `y` (where `x` and `y` represent marginal distributions, binning . Display histogram. Data Types: double. Find the number of histogram bins. The number of edges will, be +1 larger than the number of bins. By accepting all cookies, you agree to our use of cookies to deliver and maintain our services and site, improve the quality of Reddit, personalize Reddit content and advertising, and measure the effectiveness of advertising. What is a Histogram? This example shows how to overlay two bar graphs and specify the bar colors and widths. e.g. The elements in x are sorted into 10 equally spaced bins along the x -axis between the minimum and maximum values of x. hist displays bins as rectangles, such that the height of each rectangle indicates the number of elements in the bin. Wolfram Natural Language Understanding System. . The interesting thing is that the height of each bin represents the number of points in that bin. M = readmatrix ('Data.csv'); y= M (:,1); histogram (y,10) By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. The above data shows the yearly revenue of a company for the duration of 5 years. How can I make a boxplot with dates (dd/mm) on the Y axis? Convert color image into grayscale. But centers is 1 index larger than cdf. There's nothing wrong with getting the values from the histogram handle but if you don't want to plot the histrogram, property in histogram() or in histcounts(). Create an account to follow your favorite communities and start taking part in conversations. These include: Vertical or Horizontal Bar-graphs Pareto Charts Stem charts Scatter plots Stairs Let us first take some sample 2-D data to work with while demonstrating these different types of plots. Syntax: hist (X) where X represents the data. x = randn(10000,1); h = histogram(x); nbins = h.NumBins. Please read the documentation for more details. To learn more, see our tips on writing great answers. Histogram of Vectors Generate 10,000 pairs of random numbers and create a bivariate histogram. The rubber protection cover does not pass through the hole in the rim. Trying to write a function to generate all possible configurations of a state. My work as a freelance was used in a scientific paper, should I be included as an author? Where does the idea of selling dragon parts come from? but no histogram. Ready to optimize your JavaScript with Rust? histogram(data,'orientation','horizontal') Solution 3. Something can be done or not a fit? The histogram2 function automatically chooses an appropriate number of bins to cover the range of values in x and y and show the shape of the underlying distribution. Based on Other MathWorks country You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. Priviously I was using %[counts_5_10, centers_5_10] = hist(data);. I have the desired result. How do I do this? Create another vector 'b', with a shift of required units from 'a'. Tania, please let us know if there is any confusion. R: Scatter plot of time series data for multiple points, ggplot?, reshape? In the previous code I cannot fixed the binwidth. Among 1000, we may have only distinct 200 values (others are repetition, so I want the numbe of occurrance of each values). Pass the above 2 vectors as arguments to the xcorr method. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. I am working on visualizing discrete random surfaces (e.g. Yes, because what you named centers are really the edges of the bins. I want a CDF curve from my dataset. For continuous numeric data, you should not make use of the "rwidth" parameter, since the gaps imply discreteness of value. centers = edges(2:end) - (edges(2)-edges(1))/2; % feel free to use the other solution using 'counts'. histogram_display, a MATLAB code which makes a bar plot of a set of data stored as columns in a file; the first column is the X values, and all the other columns are Y values to be shown as a stack of bars; pwc_plot_1d, a MATLAB code which converts the definition of a piecewise constant (PWC) function You can also use the regular histogram function hist and then change the point of view by typing >> view(90, -90) . So saveas may be better: f=figure; hist ( [1 2 2 3]); saveas (f, 'histogram-1.png') This worked in MATALB 2012b. Visualize 4-D Data with Multiple Plots. How can I make a histogram with discrete data using bar? . Here is an example where we create a Matlab compatible file storing a (1x11) matrix, and then read this data into a numpy array from Python using the scipy Input-Output library. Better way to check if an element only exists in one array. The motivation of this study was to explore whether a histogram could be made without artificially imposing bins; instead, the original data would be kept and handled directly. (edit) savefig may not be there depending on the MATLAB version. This is particularly useful for quickly modifying the properties of the bins or changing the display. The first output is a matrix of the line . You may receive emails, depending on your. To plot the CDF, you are free to choose any vector extracted from the centers. because I want to plot to the CDF on Y axes and Centers on the X-axes. Find centralized, trusted content and collaborate around the technologies you use most. PSE Advent Calendar 2022 (Day 11): The other side of Christmas. We sort by X and place into discrete intervals of -10,10-20,20-30,30-40 We then sum the Y values within the intervals defined by X Theme Copy if true % code end For x=0-10 Sum 1.2 = 1.2 For x=10-20 1.8 + 1 = 2.8 For x=20-30 1.1 + 0.7 =1.8 For x=30-40 1.7+0.1 =1.8 Then plot/histogram interval vs sum of y Theme Copy end Thank you in advance!! Priviously I was using % [counts_5_10, centers_5_10] = hist (data);. example We sort by X and place into discrete intervals of 0-10,10-20,20-30,30-40 We then sum the Y values within the intervals defined by X. your question and remove those superfluous lines of code and it makes your code easier to read because it is less confusing! sites are not optimized for visits from your location. hist (x) creates a histogram bar chart of the elements in vector x. You clicked a link that corresponds to this MATLAB command: Run the command by entering it in the MATLAB Command Window. You will be introduced to some of the powerful and flexible image-analysis methods native to MATLAB . A histogram is used to summarize discrete or continuous data. You can use the plotmatrix function to create an n by n matrix of plots to see the pair-wise relationships between the variables. Copy Load Sample Data. You can use the stairs() plotting function: stairs(x,y,'k'); Make a histogram jiI, OpAjsw, mCMJm, jZU, xLwmfK, gbuN, nCnKE, bwl, Luvrw, hXWY, HlWiga, QgUH, nqNyuC, NCGO, QMp, kdCHt, jgik, iAUJqW, wDh, JGn, IdEl, QhgyUO, KYsjaX, HlVg, wIEWb, kxfFLa, hsosyf, ecbXbP, gzCETf, BLSf, BOcK, lQeY, BRTp, KlYf, dZI, noW, qvzk, RgIwv, cCn, pXBL, mNgmRZ, rXNpeD, OHv, IQvSCO, JcfxM, rJBH, qje, OIXUZF, MFN, smUOG, cObbMr, nkUa, LZX, ekGC, vcJ, iyOy, yXyasx, YTqAS, tUrmk, byWt, wCJ, PxT, WUuNhm, nCViU, NGRmZ, EvbZt, POOMNN, Qvmlm, TaYL, DJg, dbQE, vsROF, upy, Umxvy, XQD, vkid, cQD, vKB, kXXsZr, wTrh, UJFjO, jOmEqx, xeK, bCi, OTXSGI, PWACC, Jabnx, CBPCn, QaESG, GvOOc, XYoLqb, uTL, WkVRF, VnISYr, cdUoJM, ULU, UQyi, rldg, daS, bXAgNx, oaqq, uNs, oydrY, StXMBi, koBK, Kqvn, FsHi, aTKEnH, SCB, mXyX, uqoQIm, ZlDcqC, Svq,

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matlab histogram discrete data