a single stem and leaf plot is a useful tool because:

i need your help! Cloudflare Ray ID: 7c0d7624b8adb97a Direct link to Braydin Emmert's post While no key is present i, Posted 4 years ago. The median (M) is the 50th percentile or midpoint of the ordered sample data. A stem-and-leaf plot is basically a frequency tally, except that we use digits instead of tally marks. declining percent (concave downward). Sometimes, when the record for wins is tied within a football league, the higher-ranked team will be determined by examining data sets that are more easily observable, including the median and mean of the two teams' scores. The following stem-and-leaf plot shows the cholesterol levels of a random number of students. C) it enables us to examine the data values for the presence of trends, cycles, and, D) it enables us to locate the centre of the data, see the overall shape. It is a graph that shows numerical data arranged in order. Can you do stem and leaf plots with decimals and negative numbers? And once again, what This is good for very variant things, I'd say. Direct link to Mackenzie Frazee's post how do you get your answe, start color #11accd, 1, end color #11accd, vertical bar, 7, start color #11accd, 1, end color #11accd, vertical bar, 8, start color #11accd, 2, end color #11accd, vertical bar, 0, start color #11accd, 2, end color #11accd, vertical bar, 5, start color #11accd, 2, end color #11accd, vertical bar, 8, start color #11accd, 3, end color #11accd, vertical bar, 4, start color #11accd, 3, end color #11accd, vertical bar, 7, start color #11accd, 3, end color #11accd, vertical bar, 8, start color #11accd, 5, end color #11accd, vertical bar, 0, start color #11accd, start text, s, t, e, m, s, end text, end color #11accd, start color #1fab54, start text, l, e, a, v, e, s, end text, end color #1fab54, 1, vertical bar, start color #1fab54, 7, end color #1fab54, 1, vertical bar, start color #1fab54, 8, end color #1fab54, 2, vertical bar, start color #1fab54, 0, end color #1fab54, 2, vertical bar, start color #1fab54, 5, end color #1fab54, 2, vertical bar, start color #1fab54, 8, end color #1fab54, 3, vertical bar, start color #1fab54, 4, end color #1fab54, 3, vertical bar, start color #1fab54, 7, end color #1fab54, 3, vertical bar, start color #1fab54, 8, end color #1fab54, 5, vertical bar, start color #1fab54, 0, end color #1fab54. And then finally, Which of the following are true statements? of these together. 13 points. As before, write a 7 in the ones column to indicate that one instance of 57occurred, then proceed to the next-lowest temperature of 59 and write a 9 in the ones column. Table 2.4 and Table 2.5 show the ages of presidents at their inauguration and at their death. 1, for each of the players. Construct a side-by-side stem-and-leaf plot using this data. You can see that with so many bins, the histogram looks random, with no clear pattern visible. Some people prefer to arrange the data in order before the stems and leaves are created. Direct link to Geninho Farias's post When should I use this ki, Posted 7 years ago. and then 29, 36, 40, and 42. Learn more about Teams . Then you could look closer and get the exact times. Then this player had The 'stem' is on the left displays the first digit or digits. So 0, 8, add 3, 11, 12, 11, plus 1 is 12, plus 1 is 13, plus 9 is 22, plus Imagine asking a class of 20 algebra students how many brothers and sisters they had. Rowena made a survey of the ages of passengers in a train carriage, and collected the results in a frequency table. Widths must all be the same except when we have open-ended bins. A dot plot may be better suited for such data. The pattern is much clearer now. We were able to organize the data into a table. 1 in the ones place. It is important that each stem is listed only once and that no numbers are skipped, even if it means that some stems have no leaves. Special type of bar chart used in quality management to display the frequency of defects or errors of different types. For example, for the n = 33 P/E ratios, we want a 5 percent trimmed mean (i.e., k = .05). 13, 22, 29, 36, 40, 42. 1 in the tens place, The following data represents the ages of 22 Canadian Prime Ministers when they were sworn into office. provides insight into characteristics of a data set using mathematics. Direct link to nchang1284's post At 2:13 doesn't he say 9 , Posted 10 years ago. Display the data in a histogram. Continuity for a point exists when the left and right sided limits match the function evaluated at that point. try to do all the colors, this player also had How does this relate The next numbers are 40, 46 and 47. The data was collected in the following list. 41.1, 254.7, 91.6, 60.9, 75.6, 36.0, 16.5, 10.6, 62.2, 89.4, 124.9, 176.7, 121.6, 135.6, 141.6, 77.0, 82.8, 28.9, 6.7, 22.1, 29.9, 110.0, 179.3, 97.6, 176.8, 143.5, 129.8, 94.9, 77.0, 60.8, 60.0, 32.5, 61.7, 117.2, 194.5, 208.6, 176.8, 143.5, 129.8, 94.9, 77.0, 60.8, 20.0, 32.5, 61.7, 117.2, 194.5, 208.6, 133.1, 105.2, 92.0, 60.7, 52.8, 37.8, 14.8, 23.1, 41.3, 75.7, 134.6, 148.8. Step 2:Organize the values in each leaf row. It is similar to a histogram, except the actual numbers can be observed, and . ^percent(cumulative freq X 100). In a side-by-side stem-and-leaf plot, two sets of leaves share the same stem. is a line graph of the cumulative frequencies. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. A box plot shows variability and shape. for his ones digit. A stem and leaf plot displays numerical data by splitting each data point into a "leaf" (usually the last digit) and a "stem" (the leading digit or digits). .. (highest value-lowest value)/number of bins. is a line graph that connects the midpoints of the histogram intervals, plus extra intervals at the beginning and end so that the line will touch the X-axis. 0, 1, 2 under leaf you have all of A stem and leaf plot is defined as a type of table where the stem (or first column) represents the first place values of numbers and the leaves (or second column) represent the final place value . hard to understand. The following two examples illustrate how to create a stem-and-leaf plot from scratch for a given dataset. Use quartiles to detect unusual data points by defining fences Teacher: To view the Review answers, open thisPDF fileand look for section 13.11. So let me try that Try your own stem-and-leafplot with the following temperatures for June. do orange, this player had 4 for his ones digit. The mode is most useful for discrete or categorical data with only a few distinct data values. a price in the 33 range ($33.00-$33.99) would be considered to . Make a frequency table for the data in Question 1. 8 in the ones place. Stem-and-leaf plots are not ideal for all situations; in particular they are not practical when the data is too tightly clustered. There are at least two ways to get stem and leaf plots in R: ?stem, in the graphics package, and ?stem.leaf, in the aplpack package. A stem-and-leaf plot consists of a vertical stem containing the first digit of each number, with the rest of each number written to the right of the stem like a leaf. In the stem and leaf plot below, the first number represented is 21. In this case, where the data points are all integers, its wrong to suggest that the function is continuous between the points! If n is even, the median is the average of the middle two observations in the ordered data set. So I'm going to write Course Hero is not sponsored or endorsed by any college or university. And then I will Non-integers are rounded. Xmin, Q1, Q2, Q3, Xmax A simple stem plot may refer to plotting a matrix of y values onto a common x axis, and identifying the common x value with a vertical line, and the individual y values with symbols on the line.[4]. 35, 42, 38, 57, 2, 24, 27, 36, 45, 60, 38, 40, 40, 44, 1, 44, 48, 84, 38, 20, 4, 2, 48, 58, 3, 20, 6, 40, 22, 26, 17, 18, 40, 51, 62, 31, 27, 48, 35, 27, 37, 58, 21. For instance, if you want to compare the scores of two sports teams, you can use the following stem-and-leaf plot: The tens column is now in the middle column, and the ones column is to the right and left of the stem column. Legal. and then the stem will contain all of Retrieved from https://www.thoughtco.com/stem-and-leaf-plot-an-overview-2312423. for his ones digit. Enter values separated by commas such as 31, 26, 20, 28, 13, 10, 18, 13. Since the data is already collected into intervals we will use these as our bins for the histogram. Direct link to louisaandgreta's post Can you do stem and leaf , Posted 6 years ago. These graphs are similar to histograms, but instead of using bars, they show digits. all of the number of points that all of the players scored. In a side-by-side stem-and-leaf plot, two sets of leaves share the same stem. 2, 3, 4, 5, 6, 7 players had 0 as the first digit. Russell, Deb. do this in purple. (2023, April 5). It wou, Posted 2 years ago. The following numbers represent the growth (incentimeters) of some plants after 25 days. leaf = units). Direct link to Bence Csoka's post Is spacetime four dimensi, Posted 2 years ago. I suggest you try, Posted 10 years ago. Posted 11 years ago. Jo ur na l P re -p ro of Journal Pre-proof 2 ABSTRACT Plant elemental composition and stoichiometry are useful tools for understanding plant nutrient strategy and biogeochemical cycling in terrestrial ecosystems. When you count the total number of leaves, you know how many students took the test. This player over Can someone explain. Cookies collect information about your preferences and your devices and are used to make the site work as you expect it to, to understand how you interact with the site, and to show advertisements that are targeted to your interests. In a stem and leaf plot, the stem is like the first digit and the stem would be the number following it. In our previous example, the median of the 64 IQs is 99.5. The stem of the number includes all but the last digit. Each number in the data is broken down into a stem and a leaf, thus the name. In the table, in sal's video, you read from left to right. We'll use the same dataset as before. Course Hero is not sponsored or endorsed by any college or university. So, we would remove the two smallest and two largest observations before averaging the remaining values. For example, in number 24, the 2 is the stem and 4 would be the leaf. . And the way to interpret Monthly rainfall (in millimeters) for Beaver Creek Oregon was collected over a five year period, and the data is shown below. called a stem-plot. The most frequently occurring data value. multiplex RT-PCR assay is the first to simultaneously detect multiple viruses and viroids infecting apple trees in a single reaction tube. a 0 in his ones digit. Once you've sorted the data by value and grouped them by the tens digit, put them into a graph called "Temperatures." k = 1, 68.26% will lie within m + 1u To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Direct link to Sara Lynn Younes's post Im confused. Then work out the average of those squared differences. k = 3, 99.73% will lie within m + 3u. Forty students wrote a Statistics examination having a maximum of 50. marks. For example, the last number would be 20. http://www.khanacademy.org/math/arithmetic/interpreting-data-topic/reading_data/e/reading_stem_and_leaf_plots, http://en.wikipedia.org/wiki/Stem-and-leaf_display. ^percent(relative freq. Never seen it used in real life? The stem is a strong base from which the leaves sprout. ogive plot. Which of the following are true statements? The mode is the value that appears the most often, and here it is 32. Please include what you were doing when this page came up and the Cloudflare Ray ID found at the bottom of this page. Pie charts should be used to portray data which sum to a total (e.g., percent market shares). Step 1: Split each data point into a stem and a leaf. (c) It can display large sets of data easily. What is the need of stem and leaf plots in our life? Deb Russell is a school principal and teacher with over 25 years of experience teaching mathematics at all levels. You should always begin with the lowest number, or in this casetemperature: 50. A histogram for this data is shown below. Below are histograms with bin widths of 10, 5 and 20. Stem-and-leaf displays can also be used to convey non-numerical information. This data is arranged byplace value where the digits in the largest place are referred to as the stem, while the digits in the smallest value or values are referred to as the leaf or leaves, which are displayed to the right of the stem on the diagram. https://www.thoughtco.com/stem-and-leaf-plot-an-overview-2312423 (accessed May 2, 2023). Individually, the boxplot and the stem-and-leaf display typically yield only half the picture of the data set. Direct link to Tsknott's post This is good for very var, Posted 6 months ago. This page titled 2.8.1: Understand and Create Stem and Leaf Plots is shared under a CC BY-NC license and was authored, remixed, and/or curated by CK-12 Foundation via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. This plot has been implemented in Octave[2] and R.[3], A stem-and-leaf plot is also called a stemplot, but the latter term often refers to another chart type. What are some applications of this? Stem-and-leaf Graphs. Now we could use this table as an(x,y)coordinate list to plot a line diagram like this one: Whilethis diagram does indeed show the data, it is somewhat misleading. have to add up all of these numbers To compare two sets of data, you can use a back-to-back stem-and-leafplot. The range of a data set is the difference between the smallest value and the greatest value in the data set. answer the question that they're asking are data that have been divided into 4 groups. ((20-200)^2+(300-200)^2)/2, The normal distribution is symmetric and is also known as the bell-shaped curve. 11-- 13, 11, 11-- plus 9 plus 7 plus 7 again plus 4 plus 2. Direct link to Chuck Towle's post Hanifa, This page titled 2.8.2: Stem-and-Leaf Plots and Histograms is shared under a CC BY-NC license and was authored, remixed, and/or curated by CK-12 Foundation via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. state where my sum is. We will combine bins by pairs to give 6 bins with a bin-width of 50. Click to reveal Direct link to Michael Stanmore's post I've seen it used on a Fe, Posted 10 years ago. The 'leaf' is on the right and displays the last digit. @. PLIX: Play, Learn, Interact, eXplore - Ordering Leaves, Activities: Stem-and-Leaf Plots Discussion Questions - P&S, Lesson Plans: Stem and Leaf Plots Lesson Plan, Practice: Understand and Create Stem and Leaf Plots. ------example: 5 bins, data from 10 - 46 with class width of 10 would be 10,20,30,40,50 Direct link to TiMMyTiMe5671's post In a stem and leaf plot t, Posted 6 years ago. ThoughtCo, Apr. We then go through the data and fill out our plot: You can see immediately that the interval with the most number of passengers is the 40-49 group. 1 in the ones place. Input all 43 data points into the table in columnL1. We have two 11's, then a 9, Example-1,000. variability: how much dispersion in the date. 11. Just like Presidents of the United States, Canadian Prime Ministers must be sworn into office. For example, the buyer for a chain of department stores counted the number of pairs of boots at each of the stores and made a stem and leaf plot for the data. This player, let me U 3 bjbjnn aa* K 8 $ L p .I L L L L b - - - H H H H H H H $ J M H - + N - - - H L b Q H 3 3 3 - L b H 3 - H 3 3 E D 6 -H b |. A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values. A single stem-and-leaf plot is a useful tool because: A) it includes the average and the standard deviation.B) it shows the percentage distribution of the data values. The square root of the variance is the standard deviation. For two-digit or three-digit integer data, the stem is the tens digit of the data, and the leaf is the ones digit. of points that each of the 12 players on the Each data value is broken into a stem and a leaf. center: where are the values are concentrated If you're seeing this message, it means we're having trouble loading external resources on our website. you're a little bit more used to understanding it. stem-and-leaf plot, we were able to extract out Direct link to zoujoe24's post The leaf number is not ac, Posted 9 years ago. to the number of points each student, or each Construct a stem-and-leaf plot to represent the data, and list 3 facts that you know about the growth of the plants. I'm confused on making a stem-and-leaf plot with one-digit numbers. Weve seen how to manipulate raw data to give a stem-and-leaf plot and a histogram. So it's a good thing that III. - (negatively skewed) a longer left tail. use strategies of different plant groups, such as family or life form. the 0's in purple. You could just write the numbers the way Sal did when he was explaining it. A stem and leaf is a table used to display data. 64---7 On the stem-and-leaf plot, each line represents a single category; for this dataset, each category is a dollar amount. The effect of the sample plot size was investigated by using different-sized sample plots with a fixed scan set-up to also observe possible differences in the quality of point clouds. 7 for his ones digit. For In this instance, a teacher would need to ensure that the 16 students who scored below 80 truly understood the concepts on the test. Then a few more scored A stem-and-leaf plot is used most when the number of data values is large, and it allows you to easily calculate the mode and themedianof a data set. Data can be shown in a variety of ways including graphs, charts, and tables. For continuous data or data with a wide range, the mode is rarely useful. of the distribution, and look to marked deviations from the overall shape. Stem-and-leafplots provide an at-a-glance tool for specific information in large sets of data. Transcript A stem and leaf is a table used to display data. I would like the word Stem to appear above the stem on the plot; and the word . Sample surveys are observational studies, not experiment. It is the only number with a stem of 2, so that makes it the only number in the 20s. Create a stem-and-leaf plot for the following data. Our table and histogram now looks like this. For example, especially for annual herbs, a single . sum of squared deviation from the mean divided by the population size The ages for the passengers are shown below. points to started with a 2, and it was actually 20 points. It serves the same purpose as a histogram, but is attractive when you need to compare two data sets (since more than one frequency polygon can be plotted on the same scale). The new set is obtained by the following procedure: each non-negative, observation is multiplied by two, while each negative observation is divided by two. The number of people who have an odd number of siblings. Language links are at the top of the page across from the title. II. One way to ensure that the data values are kept intact is to graph the values in a stem-and-leaf plot. For example: Note that there are no leaves for the second stem. How many scored between about this is it gives kind of a distribution The stem is everything before the final digit and the leaf is the final digit. lower: lowest number to highest going by class width. 128--8 scored 102 points. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Direct link to Jerry Nilsson's post Yes, precisely so. For example, the column atx=2is 5 units high, indicating that there are 5 students with 2 siblings. The stem-and-leaf display shows all the data points in a tabular form. Then round up to the nearest whole number. did the team score? Direct link to Gergollini's post Add me on fn TurtleSloth5, Posted 3 months ago. are scale points that divide the sorted data into four groups of approximately equal size. Direct link to windy's post Who invented stem and lea, Posted 9 years ago. So I'm going to actually So we get to 102 points. Since all the values fall between 1 and 84, the stem should represent the tens column, and run from 0 to 8 so that the numbers represented can range from 00 (which we would represent by placing a leaf of 0 next to the 0 on the stem) to 89 (a leaf of 9 next to the 8 on the stem). That means that 83% of the test-takers scored below you. For example, with the data above about students siblings, all the data points would occupy the same stem (zero). the tens digits. is a table formed by classifying n data values into k classes (bins). I double checked that. "Overview of the Stem-and-Leaf Plot." The results might look like this: 1, 4, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 3, 1, 1, 3, 6. Easy to use but sensitive to extreme data values. Here is what the stem and leaf plot . The right number is equal to 1 times that number. had one player with 0 points. So 1, 1, 1, and 1. The first way might just be to create an ordered list, relisting all the numbers in order, starting with the smallest: 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 6. Russell, Deb. True. Direct link to morris.pj's post Yes, but you need to have, Posted 3 years ago. X-axis ticks shows end points of each bin. Scatter plots can convey patterns in data pairs that would not be apparent from a table. of where the players were. Performance & security by Cloudflare. The 'leaf' is on the right and displays the last digit. (d) It enables one to see the overall shape of a distribution. It's a particularly valuable tool during exploratory data analysis. The boxplot is useful for summarizing a data set. So this player, They show how data is distributed, and whether it is symmetric around the center. E) it enables us to compare this dataset against others of a similar kind. per day has E(X) = 125, and V ar(X) = 50 . You can see that although it may be counter-intuitive, sometimes you can see more information by reducing the number of intervals (or bins) in a histogram. Looks like I actually was useful about this, is you see how many players This will bring up the plot options screen. We could start by making a stem-and-leaf plot of our data. It is a 0. Stem-and-leaf plots are organized according to the largest base ten value and the smaller base ten values. (In this exampleXmin=0andXmax=100will work whatever bin width we choose, but notice that to display the histogram correctly we need to use a differentYmaxvalue for each.). Write the stems in a vertical column and don't skip stems just because they don't have any data. The value that appears the most often in the same leaf row is the trailing digit of the mode of the data set. The stem-and-leaf display is drawn with two columns separated by a vertical line. Suppose we have the following dataset: 12, 14, 18, 22, 22, 23, 25, 25, 28, 45, 47, 48. 10 and 19 points, and then how many scored . If you've done it correctly, it should yield a stem-and-leafplot graph that looks like the one in this section. 2: Visualizing Data - Data Representation, { "2.8.01:_Understand_and_Create_Stem_and_Leaf_Plots" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.8.02:_Stem-and-Leaf_Plots_and_Histograms" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.8.03:_Interpreting_Stem_and_Leaf_Plots_(Stem_and_Leaf_Plots_Range_of_a_Data_Set)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.8.04:_Two-Sided_Stem-and-Leaf_Plots" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "2.01:_Types_of_Data_Representation" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.02:_Circle_Graphs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.03:_Bar_Graphs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.04:_Histograms" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.05:_Frequency_Tables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.06:_Line_Graphs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.07:_Scatter_Plots" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.08:_Stem-and-Leaf_Plots" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "2.09:_Box-and-Whisker_Plots" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, 2.8.2: Stem-and-Leaf Plots and Histograms, [ "article:topic", "showtoc:no", "range", "stem-and-leaf plots", "data", "continuous data", "bins", "stem", "continuous", "truncate", "hundreds", "tens", "units", "decimals", "license:ccbync", "program:ck12", "authorname:ck12", "source@https://www.ck12.org/c/statistics" ], https://k12.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fk12.libretexts.org%2FBookshelves%2FMathematics%2FStatistics%2F02%253A_Visualizing_Data_-_Data_Representation%2F2.08%253A_Stem-and-Leaf_Plots%2F2.8.02%253A_Stem-and-Leaf_Plots_and_Histograms, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), 2.8.1: Understand and Create Stem and Leaf Plots, 2.8.3: Interpreting Stem and Leaf Plots (Stem and Leaf Plots, Range of a Data Set), Make Histograms Using a Graphing Calculator, Stem-and-Leaf Plots and Histograms: Digital Photography, Stem-and-Leaf Plots and Histograms - A Sample Application.

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a single stem and leaf plot is a useful tool because: