Therefore, because the 131 stem contains 7 leaves, the depths column for that row contains a 7 in parentheses. the tens digits. was useful about this, is you see how many players For example, in number 24, the 2 is the stem and 4 would be the leaf. I would like the word Stem to appear above the stem on the plot; and the word . k = 2, 95.44% will lie within m + 2u Can display several variables at once. Then for each number: subtract the Mean and square the result (the squared difference). Scilit | Article - A multiple RT-PCR assay for simultaneous detection It is a good choice when the data sets are small. 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. Non-integers are rounded. To determine how many observations to trim, multiply k by n, which is 0.05 x 33 = 1.65 or 2 observations. a stem-and-leaf plot is the leafs contain-- What is the mode and themedianof the ages? relative frequency: frequency divided by total of frequency column 32---6 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. As for the median, since there are 23 data values, the median is the value that appears in the12thposition. And you see the distribution So that gets us to 40. It is similar to a histogram, except the actual numbers can be observed, and . - (positively skewed) a longer right tail. A single stem-and-leaf plot is a useful tool because: It includes the average and the standard deviation, it shows the percentage distribution of the data values, it enables us to examine the data values for the presence of trends, cycles, and seasonal, it enables us to locate the centre of the data, see the overall shape of the distribution, and, look to marked deviations from the overall, it enables us to compare this dataset against others of a similar kind. And once again, what 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. 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. The 'stem' is on the left displays the first digit or digits. A (n)_______ is a graph of a cumulative distribution. To construct a stem-and-leaf display, the observations must first be sorted in ascending order: this can be done most easily if working by hand by constructing a draft of the stem-and-leaf display with the leaves unsorted, then sorting the leaves to produce the final stem-and-leaf display. ThoughtCo. provides insight into characteristics of a data set using mathematics. For example, for the n = 33 P/E ratios, we want a 5 percent trimmed mean (i.e., k = .05). 2.1: Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs a price in the 33 range ($33.00-$33.99) would be considered to . 11. For example, 23 has stem two and leaf three. 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. In a stem and leaf plot, the stem is like the first digit and the stem would be the number following it. In order to correctly determine themedianand the mode, it is helpful to construct a second,ordered stem and leaf plot, placing the leaves on each branch in ascending order. Generate an online stem and leaf plot, or stemplot, and calculate basic descriptive statistics for a sample data set with 4 or more values and up to 2500 values, positive and negative. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. So he or she scored 13 points. 1 in the ones place. 18 points. More Examples: Stem "1" Leaf "5" means 15; Because 99.5 falls between two rows of the display, namely between the stems 99 and 100, Minitab calculates the depths instead as . Instead of rounding the decimals in the data, we truncate them, meaning we simply remove the decimal. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. This will ensure that the values of the leaves are in order. Focus on significant few (i.e., few categories that account for most defects or errors). Use a graphing calculator to display the data as a histogram with bin-widths of 10, 5 and 20. a basketball team tracked the number 2.8.1: Understand and Create Stem and Leaf Plots right over here. ones digit, is a 1. True. The stem is everything before the final digit, and the leaf is the final digit. In a situation like this we need to reduce the number of bins. A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in visualizing the shape of a distribution. It's a particularly valuable tool during exploratory data analysis. This player, let me If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. The mode is most useful for discrete or categorical data with only a few distinct data values. This player right here Use the stem-and-leaf plot below to answer the following questions: To view the Review answers, open thisPDF fileand look for section 7.6. it is useful if you want to become a statistician or a data-scientist. Individually, the boxplot and the stem-and-leaf display typically yield only half the picture of the data set. While no key is present in the video, Sal seems to have a key on a separate piece of paper/in his head, the key in particular being, for example, 5|6=56, still do not get where leaf numbers come from. How many scored between Write the stems in a vertical column and don't skip stems just because they don't have any data. A scatter plot is a starting point for bivariate data analysis in which we investigate the association and relationship between two variables. Because 10 of those students failed the test, which accounts for almost half of the class of 22 students, the teacher might need to try a different method that the failing group of students could understand. So I'm going to write Overview of the Stem-and-Leaf Plot. Direct link to Stefan Spiekerman vW's post I think Sal had made enou, Posted 4 years ago. called a stem-plot. This is your median value in the data set. Direct link to river.webb's post Can you make a stem and l, Posted 10 years ago. The action you just performed triggered the security solution. So 0 plus 8 is 8, plus 3 is From the stem-and-leaf plot, it's clear that this value is 32, so the median of the data set is 32 as well. columns: Then you could look closer and get the exact times. Here is what the stem and leaf plot . team had in one game. Statistics: Power from Data! Organizing data: Stem and leaf plots Find all of the temperatures that were in the 60s, 70s, and 80s and write each temperature's corresponding ones value in the ones column. B) it shows the percentage distribution of the data values. Widths must all be the same except when we have open-ended bins. almost using all the colors, this player had 9 tables - stem-and-leaf plot - TeX - LaTeX Stack Exchange Example 1. A range of data sets have been included in this activity. Stem-and-leaf plots are not ideal for all situations; in particular they are not practical when the data is too tightly clustered. Russell, Deb. But the 0 lets us So the median is 37. Published evidence suggests that trees do not die because of genetically programmed senescence in their meristems, but rather are killed by an external agent or a disturbance event. 3. A single stem-andleaf plot is a useful tool because: A} it How to Make a Stem-and-leaf Plot. The median of the data can be quickly calculated by using the values in the leaf column to locate the value in the middle position. Quiz 2 Study Guide Flashcards | Quizlet Press[WINDOW]and ensure thatXminandXmaxallow for all data points to be shown. Now that the graph has been constructed, there is a great deal of information that can be learned from it. per day has E(X) = 125, and V ar(X) = 50 . The leaf of the number will always be a single digit. -G &. And then I will If n is odd, the median is the middle observation in the ordered data set. The stem is everything before the final digit and the leaf is the final digit. 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. Format for presentation of quantitative data, Multivariate adaptive regression splines (MARS), Autoregressive conditional heteroskedasticity (ARCH), https://en.wikipedia.org/w/index.php?title=Stem-and-leaf_display&oldid=1150669164, Short description is different from Wikidata, Creative Commons Attribution-ShareAlike License 3.0, This page was last edited on 19 April 2023, at 12:54. It is often used in exploratory data analysis to illustrate the major features of the distribution of the data in a convenient and easily drawn form. us to answer. Byoutlining the numbers on the stem and leaf plot, we can see what a histogram with a bin-width of 10 would look like. A stem and leaf plot is similar to a histogram but is usually a more informative display for relatively . Legal. What is the expected, value and variance of daily revenue (Y) from the machine, if X, the number of cans sold. compares two or more groups using a common X-axis scale. Each number in the data is broken down into a stem and a leaf, thus the name. Some students would have no siblings, but most would have at least one. Stem-and-Leaf Plots: Graphical Technique for Statistical Data the 0's in purple. The ages for the passengers are shown below. Values outside the inner fences are unusual while those outside the outer fences are outliers. the leaf contains the smallest digit, or the ones digit, and then the stem will contain all of Modern computers' superior graphic capabilities have meant these techniques are less often used. Accessibility StatementFor more information contact us atinfo@libretexts.org. Direct link to Michael Stanmore's post I've seen it used on a Fe, Posted 10 years ago. then two 7's, then a 4 then a 2, and then these two characters Stem and Leaf plot is a device for representing quantitative data in a visual way without loss of information. is a standardized way of displaying the distribution of data based on the five number summary: minimum, first quartile, median, third quartile, and maximum. The remaining digits to the left of the rounded place value are used as the stem. Stem-and-leaf plot graphs are usually used when there are large amounts of numbers to analyze. If one of the observations was 0, how would this be recorded? Now let's go to the next row Viewed 2k times 0 I have the following MWE to generate a Stem-and-leaf plot. Stem and leaf plots review (article) | Khan Academy Understand we have The above stem and leaf plot represents the grades on statistics of some group of students (stem = tenth. Agronomy | Free Full-Text | Compensatory Structural Growth Responses of I suggest you try, Posted 10 years ago. had a 0 in his ones digit. have to add up all of these numbers . So I'm going to actually Variation is the "spread" of data points about the center of the distribution in a sample. It is a 0. Stem-and-Leaf Plots: Definition & Examples - Statology For example: That means that 83% of the test-takers scored below you. ______ can be used to study the relationship between two variables. So we're going to add up, I'll Weve seen how to manipulate raw data to give a stem-and-leaf plot and a histogram. For example, thecontinuousline joining the number of students with one and two siblings makes it look like we know something about how many students have 1.5 siblings (which of course, is impossible). Deb Russell is a school principal and teacher with over 25 years of experience teaching mathematics at all levels. This is the idea of a stem-and-leaf plot. Direct link to Gergollini's post Add me on fn TurtleSloth5, Posted 3 months ago. Create a frequency table, starting at 25 mph with a bin width of 5 mph. A stem-and-leaf plot, on the other hand, . The resulting stemplot produces a distribution of the data similar to a histogram, but all of the data values are retained in a compact form. Make sure theXlistis the list that contains your data. Definition of a Percentile in Statistics and How to Calculate It, The Difference Between the Mean, Median, and Mode, Math Glossary: Mathematics Terms and Definitions, Empirical Relationship Between the Mean, Median, and Mode. ((20-200)^2+(300-200)^2)/2, The normal distribution is symmetric and is also known as the bell-shaped curve. E) it enables us to compare this dataset against others of a similar kind. To find the median, count all the days in the month, which in the case of June is 30. k = 3, 99.73% will lie within m + 3u. scored 102 points. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Forty students wrote a Statistics examination having a maximum of 50. marks. - used to compare variables that differ in magnitude or are measured in different units. Then round up to the nearest whole number. Since the data is already collected into intervals we will use these as our bins for the histogram. 4 plus 2 is 6, 7, 8, 9, 10. 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 . Stemplots became more commonly used in the 1980s after the publication of John Tukey's book on exploratory data analysis in 1977. A boxplot consists of rectangles that you position according to the quartiles and median of the data set. Please include what you were doing when this page came up and the Cloudflare Ray ID found at the bottom of this page. plot to show the data. you're a little bit more used to understanding it. A dot plot may be better suited for such data. In this example of valid two-letter words in Collins Scrabble Words (the word list used in Scrabble tournaments outside the US) with their initials as stems, it can be easily seen that the top three initials are .mw-parser-output .monospaced{font-family:monospace,monospace}o, a and e.[5]. Stem-and-leafplots provide an at-a-glance tool for specific information in large sets of data. Each slice can be labeled with data values or percents. We could organize this information in many ways. 11, plus 1 is 12, plus 1 is 13, plus 9 is 22, plus I made a mistake the first time. Scatter plots can convey patterns in data pairs that would not be apparent from a table. Stem and Leaf Plots. For example, you score in the 83rd percentile on a standardized test. Notice the similarity between histograms and stem-and-leaf plots. Now that you've had a chance to try this problem on your own, read on to see an example of the correct way to format this data set as a stem-and-leafplot graph. 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). Untangling the influence of abiotic and biotic factors on leaf C, N You can also see that the Sharks and the Tigers tied for thehighest score:a 59. Direct link to Braydin Emmert's post While no key is present i, Posted 4 years ago. Direct link to Claire's post Why do you use Stem-and-L, Posted 10 years ago. I. 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). So, we would remove the two smallest and two largest observations before averaging the remaining values. Sort by: Top Voted Questions Tips & Thanks The leaf number is not actually separate numbers. Pie charts should be used to portray data which sum to a total (e.g., percent market shares). Direct link to Jimmy the Penguin's post If one of the observation, Posted 3 years ago. 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. this plot right over here, it seems a little Stem-and-Leaf Plot Steps & Examples | What is a Stem-and-Leaf Plot A stem and leaf plot is a type of graph to look at a data set of numbers quickly. It wou, Posted 2 years ago. this represents 11. 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. Using Stem-and-Leaf Graphs for Multiple Sets of Data. And then only one score scored (b) It displays the percentage distribution of data values. We could use crosses, stick-men or even photographs of the students to show how many students are in each category. The following data represents the ages of 22 Canadian Prime Ministers when they were sworn into office. A stem and leaf plot is a way of summarizing a set of data measured on an interval scale. Label the left column (the stem) as "Tens" and the right column as "Ones," then fill in the corresponding temperatures as they occur above. Direct link to Madeline Marconi's post what happens when we have, Posted 5 years ago. Stem-and-leaf plots are great organizers for large amounts of information. Divide 30 by two, yielding 15, count either up from the lowest temperature of 50 or down from the highest temperature of 87 until you get to the 15th number in the data set, which in this case is 70. Rowena made a survey of the ages of passengers in a train carriage, and collected the results in a frequency table. Plot the data from Question 1 as a histogram with a bin width of. Table 2.4 and Table 2.5 show the ages of presidents at their inauguration and at their death. Press[START]and choose the[EDIT]option. 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. Where is Sal's key? Direct link to Jerry Nilsson's post Yes, precisely so. So this player, I wrote seven 0's. We have two 11's, then a 9, 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. - (negatively skewed) a longer left tail. How does this relate The leaves are to the left and the right of the stems. Imagine asking a class of 20 algebra students how many brothers and sisters they had. Direct link to TiMMyTiMe5671's post In a stem and leaf plot t, Posted 6 years ago. Splitting the stems refers to assigning the same stem to two or more rows of the steam-and-leaf display. When you visit the site, Dotdash Meredith and its partners may store or retrieve information on your browser, mostly in the form of cookies. Our table and histogram now looks like this. The maximal observation is an upper outlier. So 1, 1, 1, and 1. had a 2 in his ones digit, so he scored a The \greenD {\text {leaves}} leaves should go from smallest . If you're seeing this message, it means we're having trouble loading external resources on our website. 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 You can see that the Sharks had more games with a higher score than the Tigers because the Sharks only had two games with a scoreof 32, while the Tigers had four gamesa 30, 33, 37 and a 39. This player had 7 In this instance, a teacher would need to ensure that the 16 students who scored below 80 truly understood the concepts on the test. 1 in the tens place, Sort the data as a first step and then summarize in a graphical display. declining percent (concave downward). In this example, the tens digits are stems, and the one digits form the leaves. 11-- 13, 11, 11-- plus 9 plus 7 plus 7 again plus 4 plus 2. 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. The following unordered data represents the ages of passengers on a train carriage. This player, I'm going to The midrange is the point halfway between the lowest and highest values of X. They can help you identify the central tendency, variability, skewness of your distribution, and outliers. In statistics, data is represented in tables, charts, and graphs. The value that appears the most often in the same leaf row is the trailing digit of the mode of the data set. In an experimental design some treatment is intentionally forced on one group to note response. They visually present groups of data and tendencies quickly while at the same time showing every single piece of data. Then a few more scored 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. Stem-and-Leaf Plot Key & Steps | How to Read & Interpret a Stem-and is a graphical representation of a frequency distribution. So let's add up all part, adding these up. For 7-11 use the histogram shown below. Some people prefer to arrange the data in order before the stems and leaves are created. A bar chart. The number of people who have an odd number of siblings. provides insight into characteristics of a data set without using mathematics. I'm confused on making a stem-and-leaf plot with one-digit numbers. Direct link to Tsknott's post This is good for very var, Posted 6 months ago. The "stem" is basically on the left side that displays the first digit.However, the "leaf" is on the right side.And the main purpose of the leaf is to display the last digits. player over here, his ones digit, or her The team, in total, Check out this example of test scores: The Stem shows the tens column and the leaf. A statistician for Did I do that right? The following two examples illustrate how to create a stem-and-leaf plot from scratch for a given dataset. And usually the leaf will 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). And sometimes it's Direct link to Hanifa's post this is really hard i nee, Posted 10 years ago. "Overview of the Stem-and-Leaf Plot." Can someone explain. Direct link to srijanya's post In which board and which , Posted 6 months ago. Defoliation management plays a major role in ensuring eco-friendly utilization of grassland natural resources. From the stem-and-leaf plot, the growth of the plants ranged from a minimum of 10 cm to a maximum of 61 cm. The data was collected in the following list. In the table, in sal's video, you read from left to right. The most frequently occurring data value. of the distribution, and look to marked deviations from the overall shape. know that they didn't score anything in of points that each of the 12 players on the Direct link to morris.pj's post Yes, but you need to have, Posted 3 years ago.