Students can visually draw conclusions about functions and improve graphing comprehension with this app. Since we have 24 entries (which is an even number), we'll need to find the average of two middle entries. The lower quartile is the median of the first half of the data. How to Perform a One Sample t-test on a TI-84 Calculator, How to Perform a Two Sample t-test on a TI-84 Calculator, How to Calculate Confidence Intervals on a TI-84 Calculator, How to Use PRXMATCH Function in SAS (With Examples), SAS: How to Display Values in Percent Format, How to Use LSMEANS Statement in SAS (With Example). Step 2: Click the blue Start button. Double edge knives are great because they give you double the cutting surface. It is directly accessible from Fundamental Topics in Science when both apps are present on your calculator. Use MATH200A Program part 2. Individual values may be entered on separate lines or separated by commas, tabs or spaces. Instead, they choose to tell you what the mean among their workers' income is. We look back at our ordered sequence, count through the values, and see that they are 30 and 30. Find the 5 number summary for the data shown using your TI-84 calculator. Enter the numbers in one list. For example if the value produced is 2.5, look between the 2nd and 3rd number. For instance, if n = 8, then the first quartile is the median of entries a, a, a, a, and the third quartile is that of entries a, a, a, a. Ex: 32,45,12,17,43,68,75,8,11,29. Microtech Ultratech Tanto T/E OTF Automatic Knife OD Green CC (3.4" Black) Our Price: $325.00. 1.Press the STAT button. Contents1 How do you summarize automatically?2 [], When I Was Puerto Rican is primarily a narrative about a young womans coming to terms with the fact that she is not to blame for the difficulties she has had in her life. 2. This seems like quite a good distribution if you ask us. how to use the TI-83 or TI-84 to find mean, median, variance, standard deviation, five-number summary, outliers, and more. This page lists every TI-84 calculator tutorial available on Statology. How to Use the 5 Number Summary Calculator? I QR = 667 537 = 130 I Q R = 667 537 = 130 You can use the 5 number summary calculator to learn steps on how to manually find Q1 and Q3. The maximum is the largest number in the list. Die eBay Kleinanzeigen-Dienste werden betrieben von der eBay Kleinanzeigen GmbH. It's given by. Lower and Upper Limits. $399.99. Microtech | Posted on February 17, 2022 | Read more HERA SOCOM Alpha Microtech | Posted on January 15, 2021 | Read more SOCOM Alpha Arbiter Microtech | Posted on January 13, 2021 | Read more Arbiter Troodon-M. Microtech | Posted on December 18, 2020 | Read more Troodon-M SCARAB II. The calculator does the ordering for us and even gives us the tidied sequence under the variable fields. The range = 25 5 = 20. Let's jump to the next section and see what it's all about. Press STAT, then EDIT to save your work. Microtech Knives. Press [STAT], scroll right to [CALC] and select 1-Var Stats. Question 4: Find the 5 number summary for the given data 10, 20, 5, 15, 25, 30, 8. Step 1: Click here www.Testnav.com. The service very good as always, the quality very very high and the prices are ok for what you get. The CBR 2 system, which connects directly to your graphing calculator, is designed for teachers who want their students to collect and analyze real-world motion data, such as distance, velocity and acceleration. The AutoSummarize dialog box appears, presenting you with a number of alternatives. Find solutions to common problems, or get help from a support agent. In this example, the maximum is 25 and the minimum is 5. Step 1: Arrange the data set in ascending order. Therefore the lower quartile is 3. Learn about methods for using TI technology that may benefit the visually impaired, as well as other organizations that can assist you. Microtech Knives | Knife Informer. There are 7 numbers in both lists so we know that we have not missed any out. Version 1.0. . The median of 6, 7, 9 is found by crossing off one number on the left and right so that the median is 7. Rational Number Rampage provides a fun way for students to study and learn about the representations of fractions, decimals and percents in three different and challenging games. How does that help, and how far is it from what you will be earning? $5.75 shipping. This app is not just your basic periodic table, students can also study and review trends in the periodic table easily with their TI graphing calculator. . Well, that makes the calculation a piece of cake: Lastly, we need the first and third quartiles. Numbers such as the mean, median, mode, skewness, kurtosis, standard deviation, first quartile and third quartile, to name a few, each tell us something about our data. I like them for making downward cuts as well as being able to may pull cuts The CBL 2 system is a portable, handheld, battery-operated data-collection device for gathering real-world data. Oddly enough . Step 2. Microsoft account | Sign In or Create Your Account Today . Stock Wanted!! submitted by. The median is found by adding 5 and 6 to get 11 and then dividing this by 2 to get 5.5. The length of the box itself is longer which indicates a larger interquartile range. Helios/ The minimum is the smallest number in the list. Step 5:Find the first and third quartiles. In this example, the two numbers remaining are 5 and 6. The maximum is the largest number in the list of data. Bid again. Make sure that all other values entered in the list are deleted using the delete button. These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Visit www.collegeboard.org, www.act.org and www.ibo.org. LibreTEXT Calculators One Variable Statistics Calculator new window. MICROTECH JAGDKOMMANDO 7 INCH KNIFE | Guns & Military Artifacts Knives . MICROTECH JAGDKOMMANDO 7 INCH KNIFE. This, in turn, means that they correspond to the 25th and the 75th percentile of the dataset. Aim : To study the urban context of Goa with respect to a river front stretch. Microsoft - Wikipedia. However I have found some bugs when it come to running some of the statistic test such as 2propztests etc. The interquartile range also describes the spread of the middle 50% data only. The calculator will tell you , s, 5-number summary (min, Q1, med, Q3, max), etc. If you want to discover more, we have a dedicated box plot calculator! This gives, So what is the 5-number summary of our sequence? first of all, you have to find the q2. To use this 5number summarycalculator, follow the below steps: The 5 number summary calculator also produces a graph based on the entered values by the user. How to Find Expected Value of a Probability Distribution on a TI-84 Calculator, Hypothesis Tests 4 Points to Consider When Writing a Good Summary Locate the central concept. Even if many employees make $1,500, the top values still boost the mean so much that they can truthfully boast about the average being $4,000. Urban design Case study GOA PANJIM - SlideShare. Say that you're looking for work, but during interviews your prospective employers are very hesitant to tell you what your salary would be. or Best Offer. Microtech 231-14AP UTX-85 S/E - Black Handle - Bronze Apocalyptic Blade Our Price: $309.00 Made in usa Free Shipping Microtech 231-11AP UTX-85 S/E - Black Handle - Apocalyptic Blade Our Price: $269.00 Made in usa Free Shipping Microtech 157-15AP Exocet D/E - Black Handle - Bronze Apocalyptic Blade Our Price: $329.00 Made in usa Option 1) Access the modern TI-84 Plus CE Calculator Online. It is comprised of five values, presented in the following order: Minimum: Smallest value. CPX : 5:abs(valueA and valueB: Returns 1 if both valueA and valueB: . The [+] key allows you to see the required syntax for a chosen function, view and/or enter function inputs and paste function name back to previous location. In order to enlighten the reader, a helpful summary condenses the original material down to its most significant points. Select "On," ENTER 2. Rather than looking at these descriptive statistics individually, sometimes combining them helps to give us a complete picture. 3.Choose a list (from L 1, L 2;:::, L 6) using the arrows and enter the values by column. Details: Box-Whisker Diagrams in Chapter 3. We begin the process of how to find the 5 number summary of our sequence from the simplest of the five values: A keen eye will observe that here it is crucial that our sequence is ordered. In a second, we'll do just that and finally see the 5 number summary calculator in action! Standardized testing organizations have approved the TI-84 Plus for use on the PSAT, SAT, and ACT college entrance exams, IB Diploma Programme and AP tests. You can add your own words to customize or start creating from scratch. Select the type of chart you want, ENTER 3. So =QUARTILE(A1:A13, 1) gives us the first quartile and =QUARTILE(A1:A13, 3) gives us the 3rd quartile. Step 3: Find the median from these values. The following step-by-step example shows how to find the five number summary for the following dataset on a TI-84 calculator: Dataset: 4, 6, 6, 7, 8, 12, 15, 17, 20, 21, 21, 23, 24, 27, 28. It is an ideal demonstration tool for leading classroom instruction of math and science concepts. Q3 = 20. Die Verwendung der Domain sowie bestimmter Namen und Kennzeichnungen, die eBay Step 3: Scroll down to find the solution. - Tenable, . Meet the newest addition to the TI-84 Plus family, now with Python programming. Microtech Dirac Review | BladeReviews.com. Get hundreds of video lessons that show how to graph parent functions and transformations. Press, In the new screen that appears, simply press, How to Plot a Time Series in Matplotlib (With Examples), How to Find Interquartile Range on a TI-84 Calculator. Outliers are any values that are less than Q1-1.5IQR or more than Q3+1.5IQR. How to Calculate Poisson Probabilities on a TI-84 Calculator Type =MIN(), select between the brackets and highlight the data. If there are two middle numbers, add them and divide them with 2 to get the median. TI-84: Resetting the Calculator . The Microtech Cypher weighs 4.14 oz., which is about average weight for an OTF knife and provides easy handling and flexibility, making it an excellent choice for a tactical or combat blade. In this video we calculate a five number summary graphing calculator, but these steps will also work Get homework writing help. Contact Us Terms and Conditions Privacy Policy, How to Find a 5 Number Summary: Video Lesson, Example of Finding a Five Number Summary with an Even Set of Data, How to Find a 5 Number Summary using Excel, How to Find the 5 Number Summary on a Ti-84 Calculator, The range = maximum minimum indicates the spread of the whole data set, The interquartile range = Q3 Q1 indicates the spread of the middle 50% of the data set, The minimum is found at the position of the first line at 5, The maximum is found at the position of the last line at 25, The lower quartile (Q1) is found at the position of the start of the box at 10, The upper quartile (Q3) is found at the position of the end of the box at 20, The median (Q2) is found at the position of the line inside the box at 18. Get the minimum and maximum values from the arranged values. Math. 5 number summary on ti 84. The range and interquartile range are used to compare the spread of data. If it weren't, the indices 1 and n could be wrong. Puzzle Pack is a collection of four games for your handheld that are sure to challenge and entertain students while they learn. ZOOM 9 The calculator will For normal probability, scroll to either 2: normalcdf(, then enter low value, high value, mean, After applying the following solution for Microsoft Windows SMB NULL Session Authentication we are still seeing the issue after running a remediation scan. Bring your unwanted quality items for instant cash! How to Perform a Two Sample t-test on a TI-84 Calculator Here are some Omni tools that will help you: Let's once again study the example from the above section: the salaries in a company offering you a job. How to Calculate Confidence Intervals on a TI-84 Calculator, Your email address will not be published. testing and/or definition. Write down all values together to get a summary. This will be the same message for all macro-enabled files downloaded from the internet; therefore, even safe macros 1 talking about this. Scan issue. This app will allow students to access latitude, longitude, area, climate information and more. OCN ANTIQUES - Ancient coins for sale, Antique Maps for sale. This tutorial and practice app enables students to explore concepts such as number sense; linear equations; linear functions; and linear inequalities. There is no original TI-84, only the TI-84 Plus, the TI-84 Plus Silver Edition models, and the TI-84 Plus CE. Data points that lie below the lower limit or above the upper limit are potential outliers. How to fix Microsoft has blocked macros (2 simple ways). For more than 25 years, the T organization has been providing professional development that combines content-rich curriculum, hands-on technology training and compelling instruction on best teaching practices. With this method, the first quartile is the median of the numbers below the median, and the . Tip-down, reversible, pocket clip. Sorry, I got my first Microtech a few months ago and it is probably the sharpest blade that I have ever gotten. For instance, the five number summary on the statistics from the above example would tell you that there are only a few people that come close to the maximal salary of $30,000, but plenty of employees making $1,500. STORES LOCATOR - Microtek India. First put the numbers in order from smallest to largest. BID NOW $80.00. Anyway, here it is: 9, 12, 17, 19, 21, 21, 22, 22, 25, 27, 29, 30, 30, 32, 33, 36, 37, 38, 40, 42, 42, 44, 45, 48. Ancient coins, Antique maps, Coin jewelry, Roman coins, Greek coins Ancient Coins for sale, Greek Coins for sale, Roman Coins for sale. This is a Concept App. Press [STAT], scroll right to [CALC] and select 1-Var Stats. A five number summary is a way to summarize a dataset using the following five values: By simply knowing these five values, we can know a great deal about a dataset. Step 4: Click the small gray calculator icon at the center top. Select Calculate and scroll down to view the 5 number summary. For example, find the 5 number summary for the data . Step 5. Example: 1,2,3,4,5,11,11,12,14,20 the numbers beside 5.5 is 5 and 11 therefore the equation goes (5+11)/2=8. Learn how to find the five number summary using the TI-84 graphing calculator. Anyway, let's leave the analysis for later and get back to the other three values from the five-number summary. Key measures provided by the calculator include the minimum value, 1st quartile (25th percentile), median (2nd quartile, 50th percentile), upper (3rd) quartile (75th percentile), and maximum value. How to Calculate Relative Frequency on a TI-84 Calculator . A box and whiskers chart is a visual representation of the summary. . Learn which TI calculator is right for you. Step 4:Wrap the parenthesis around the values which are on the left and right sides of the median. See the example below to see how the functions are used. Texas Instrument (TI) graphing calculators are durable, multi-functional educational tools that meet students critical math and science requirements from high school through college. Transfer data, update your operating system (OS), download Calculator Software Applications (apps), edit and load programs to your graphing calculator. Knives at Knife Center. Descriptive Statistics Before we analyze it, let's grab a piece of paper and see how to find the 5-number summary ourselves. However, if n is odd, say, n = 7, then they are the medians of a, a, a, a and of a, a, a, a, respectively (i.e., the middle number is repeated in both sequences). The Microtech Ultratech is an Out the Front (OTF) knife, which has several advantages to it. Follow these steps to calculate the five-number summary. however for the majority of your functions, you can't get a better calculator. Now that the numbers are written in order, the minimum is found at the start of the list. 2.Highlight the EDIT option (using the arrows) and hit ENTER . (9+1)/4 = 2.5 which means that the lower quartile is found directly in between the 2nd and 3rd number in the list. You have the option of selecting the type of summary you want as well as the length of the summary. Press [STAT], select [EDIT] and enter the data values into the L1 column. By definition, it is the "middle" value of our sequence. Taking the average means adding the two numbers together and dividing by 2. Microtech 702-1PVDRGS Hera D/E - Black Handle - Rose Gold . In this example, the numbers after the median of 5.5 are 6, 6, 8 and 8. The 5 number summary for this set of data is: For example, find the 5 number summary for the data set: 3, 3, 4, 5, 7, 7, 7, 8, 9, 11, 12, 12, 14. Microtech Tri-Grip Ultratech Review - BladeOps. File types supported include: .bmp, .gif, .jpg, .png, .tif. Step 2: Get the minimum and maximum values in the data set. Cabri Jr. was developed for TI by CABRILOG with renowned French mathematician Jean-Marie Laborde. The SMILE App contains five games that reinforce skills from the number & operations, geometry, and measurement standards. How to Find Interquartile Range on a TI-84 Calculator How to Find Mean Absolute Deviation on a TI-84 Calculator, Probability Distributions Then press 1-Var Stats. How to Find the T Critical Value on a TI-84 Calculator TI websites use cookies to optimize site functionality and improve your experience. So what is a 5 number summary? Stonewash finished single edge tanto blade. See screenshot below: . But then it turns out that your first check would be for $1,500. 5, 8, 10, 15, 20, 25, 30. Reinforce how to perform the standard algorithms for addition, subtraction, multiplication and division with the Math by Hand App on your calculator. Maximum = 30. HANDLE MATERIAL - 6061-T6. The TI-84 Plus is a graphing calculator made by Texas Instruments which was released in early 2004. Microtek India is largest power product manufacturer offering Inverter UPS for home, Jumbo UPS Battery, Voltage Stabilizer, Wires and Cables, Solar Products, E-Rickshaw charger, To find the upper quartile (Q3), look at the numbers after the median and then find the median of these numbers. -response to developer: The errors I found were in the statistics tests under "STAT > TESTS . Then hit ENTER. Say that you're given a sequence of numbers, a, a, a,, a, and, for simplicity, assume that they are ordered from the smallest to the largest (otherwise, we'd have to order them before moving to the next step). Opening Bid: USD 80.00. by YOU! because the calculator has only the class midpoints to work with and not the original data. Step 1. How to Find a Five Number Summary on a TI-84 Calculator, How to Find Interquartile Range on a TI-84 Calculator, How to Find Coefficient of Variation on a TI-84 Calculator, How to Find Sample Variance on a TI-84 Calculator, How to Calculate a Dot Product on a TI-84 Calculator, How to Calculate Relative Frequency on a TI-84 Calculator, How to Find Mean Absolute Deviation on a TI-84 Calculator, How to Calculate Normal Probabilities on a TI-84 Calculator, How to Calculate Binomial Probabilities on a TI-84 Calculator, How to Calculate Poisson Probabilities on a TI-84 Calculator, How to Use geometpdf() and geometcdf() on a TI-84 Calculator, How to Calculate Z-Scores on a TI-84 Calculator, How to Find Percentiles from Z-Scores on a TI-84 Calculator, How to Find the T Critical Value on a TI-84 Calculator, How to Find the Z Critical Value on a TI-84 Calculator, How to Apply the Central Limit Theorem on TI-84 Calculator, How to Find Expected Value of a Probability Distribution on a TI-84 Calculator, How to Perform a One Sample t-test on a TI-84 Calculator, How to Perform a Two Sample t-test on a TI-84 Calculator, How to Perform a Paired t-test on a TI-84 Calculator, How to Calculate Confidence Intervals on a TI-84 Calculator, How to Find Margin of Error on a TI-84 Calculator, How to Calculate a Correlation Coefficient on a TI-84 Calculator, How to Perform Linear Regression on a TI-84 Calculator, How to Find & Plot the Line of Best Fit on TI-84 Calculator, How to Perform Quadratic Regression on a TI-84 Calculator, How to Perform Exponential Regression on a TI-84 Calculator, How to Perform Logarithmic Regression on a TI-84 Calculator, How to Create a Residual Plot on a TI-84 Calculator, How to Perform a One-Way ANOVA on a TI-84 Calculator, Chi-Square Goodness of Fit Test on a TI-84 Calculator, Chi-Square Test of Independence on a TI-84 Calculator, How to Use PRXMATCH Function in SAS (With Examples), SAS: How to Display Values in Percent Format, How to Use LSMEANS Statement in SAS (With Example). The length from whisker to whisker is longer which indicates a larger range. The median is found in the middle of the list. The numbers to the left of the median are 1, 3, 5. The numbers produced are not the values of Q1, Q2 or Q3. The interquartile range is useful when a comparison of the middle portion of data is required. The minimum is the smallest number, the maximum is the largest, the median is in the middle, Q1 is the median of the first half of the data and Q3 is the median of the second half. Windows is a registered trademark of its owner. Knives Microtech Knives. If the number produced is a decimal, this means to look in between the numbers either side of this decimal. Type =MAX(), select between the brackets and highlight the data. Designed by Microtech How to Read Literature Like a Professor: A [], What are some instances of empirical evidence that are commonly encountered? TI-84+ Egg0 Series Interactive Game. The minimum is the smallest number in the list. Many consider the production line-up of Microtech Knives to be automatic OTF (out-the-front) abundant, with manual folders following behind slightly in mass recognition.. With a past record of The range is found using the formula: range = maximum minimum. The aluminum handle is low-density but gives the knife the heft it needs to balance out the blade. The portions are good and in the drink menu you will find a very big Still shows vulnerability after running scan. A practical and safety advantage of owning an OTF is that the blade Polynomial Root Finder capabilities include: Simultaneous Equation Solver capabilities include: Explore probability theory with interactive animation that simulates the rolling of dice, tossing of coins and generating random numbers on your calculator. TI-84 Guides. 3rd Quartile: The 75th percentile. Firstly, let's see how to find the 5 number summary on this plot. How to Perform Logarithmic Regression on a TI-84 Calculator Just enter the number series separated by a comma ',' in the input field of the Five Number Summary Calculator & tap on the calculate button to attain the output. An outlier is defined as any value that is more than 1.5IQR below Q1 or more than 1.5 IQR above Q3. You're not too sure if you made it too easy or too difficult. "But what if n is even? A five number summary can be used to communicate some key descriptive statistics. These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach. TI-SmartView CE emulator software for the TI-84 Plus family is a proven tool for engaging students and encouraging them to explore important principles and concepts. TI-83 Plus and TI-84 Plus Function Reference. To view the items in the summary, go to: [STAT] "Calc" "1: 1-Var Stats" [ENTER]. Calculator.tech provides online calculators for multiple niches including mathematical, financial, Health, informative, Chemistry, physics, statistics, and conversions. Previous: Random Number Generators Next: Graphs: Boxplots, Dotplots, Histograms, Scatterplots . You have to save the file to disk, browse to it in Windows Explorer, right-click the file to view Properties and check "Unblock" in a security setting. Let's also check how it looks on the box and whisker plot: Certainly, most students scored slightly above the middle value of 25 points. MicrosoftAmazonUBC70%UBCFLAG . First, we will input the data values. How can it be so far from the $4,000 you heard? This app is a learning activity tool for the pre-algebra and algebra student Students can have fun while they learn how to use logic and reasoning skills with activities that encourage them to find prime factorization of random numbers. Not too bad, is it? Xbox Customer Service | Xbox Phone Number - YouTube. Microsoft Xbox One Controller Model - 1914 ***We now loan on Vehicles: Cars, Bikes Boats*** Come instore and speak to our friendly staff for a free assessment. Now that we've explained how to find the median, it's easiest to define the first and third quartiles like this: they are the medians of the first and the second half of all the entries, respectively. Introduction to Statistics is our premier online video course that teaches you all of the topics covered in introductory statistics. Visit www.collegeboard.org, www.act.org and www.ibo.org. Step 2:Get the minimum and maximum values in the data set. Four grooves run the length of the handle and mold it to your hand. See the first screen. Once we input the last number, we'll see the five-number summary of our statistics problem. Five Number Summary Calculator. Summary: This page presents a downloadable TI-83/84 program with easier versions of some calculator procedures plus new capabilities like computing skewness and kurtosis and making statistical inferences about standard deviation, correlation, and regression. CABRILOG and Microsoft are registered trademarks of their respective owners. Workshop Loan Program: Borrow TI calculators for evaluation or workshops, TI Technology Rewards program: Point values redeemable for additional TI products and services, Visualize and work with correct math notation for fractions, radicals, exponents and math symbols like , Entering and viewing math problems in correct math notation gives students the visual feedback they need to verify that they have entered the problem correctly into the calculator, to help ensure the right answer, Calculation examples given for each shape, Fifteen-question multiple-choice quiz included, Perform analytic, transformational and Euclidean geometric functions, Build geometric constructions interactively with points, a set of points for locus, lines, polygons, circles, and other basic geometric objects, Alter geometric objects on the fly to see patterns, make conjectures, and draw conclusions and, you'll get a more intuitive and highly interactive interface, Allows the student to enter data and text in cells, Create cell formulas and use built-in functions, Import and export information from Microsoft, Access a yearly, weekly and daily calendar, Fifteen properties and facts about the known elements, Graphs of the periodic nature of the elements, Enter polynomials up to and including order (degree) 10, Easy to use POLY MODE screen to set up all options, Display roots as fractions or decimals for many roots, Choose to display only Real roots for 2nd and 3rd degree polynomials, For polynomials of degree 4 and higher, roots display in Complex format, Store polynomials to Y= for graphing and evaluation, Verify a root is the zero of the polynomial function by storing roots in Real format, Enter systems of equations with up to 10 equations and 10 unknowns, Easy to use SIMULT MODE screen to set up all options, Displays unique solution, infinite solution, and no solution, Store coefficient matrix, augmented matrix, and the solution, Settings for specifying numbers of trials, Remove or disable* programs and applications on student calculators before tests, Delete other data stored on student calculators before tests, Restore programs and applications on student calculators after tests, Clears data from TI-83 Plus graphing calculator, Clears or disables* data from TI-84 Plus, TI-84 Plus Silver Edition and the TI-84 Plus C Silver Edition graphing calculators, Instantly see how changing the value of a coefficient transforms a graph, Visually fit equations to data plots by manipulating coefficients, See location of mapped country with respect to other countries, Set up a variety of random and multiple-choice quizzes. number or list. Once you're in the CALC menu, select 2-Var Stats . In the new screen that appears, simply press Enter. In that case we have to create the middle ourselves: we take the two numbers that are closest to the center (e.g., for n = 8, they would be a, and a) and take their average, i.e., sum them and divide the result by two (for n = 8, it would be median = (a + a) / 2).
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