Primary Study Cards. The upper quartile is the \dfrac{3(7+1)}{4} = 6th term, which is 332. Conversely if you are given a box plot you can work out these five values plus other useful statistics like range and inter – quartile range (IQR) Box plots are normally drawn on square or graph paper so you will need to be accurate. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding salary. To find the interquartile range we subtract the lower quartile (Q_1) from the upper quartile (Q_3). The Lowest Value is taken from the lowest value in the data set; similarly the Highest Value. A Great Lesson Plan with resources to teach or revise GCSE Box Plots. Instructions Use black ink or ball-point pen. 2) Give you important pieces of information to draw a box plot. The resource would also be suitable as hand out notes for pupils. KS2/3/4:: Data Handling & Probability:: Averages and Range. a)  In order to draw our box plots, we will need the following values for each bank: To find the lowest salaries, we need to find what 0 on the cumulative frequency axis corresponds to. A lot more at goteachmaths.co.uk! Edexcel GCSE Mathematics (Linear) – 1MA0 CUMULATIVE FREQUENCY & BOX PLOTS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. In two sizes, pdf and ppt. GCSE Cumulative Frequency Graphs, Box Plots and Quartiles. For more information please see the Edexcel GCSE Maths page. View all Products, Not sure what you're looking for? GCSE Maths revision tutorial video. Using the box plot, determine the range and interquartile range. This means that most of the links on this page are not yet active. • Answer all questions. All the students in Mathstown school had a test. To find the highest salaries, we need to find what 100 on the cumulative frequency axis corresponds to. The 50th value for Welsh Bank corresponds to a salary of £52,000, and the 50th value for the Bank of Finland corresponds to a salary of £62,000. As a result, the completed box plot should be similar to the one below: Question 5: The cumulative frequency graph below shows the salaries of 100 employees who work for Welsh Bank (black) and 100 employees who work for the Bank of Finland (blue). 9, 10, 10, 12, 13, 14, 17, 18, 19, 21, 21. Make sure you are happy with the following topics before continuing. Draw a box plot to show the distribution of the Weight Watchers members. The Lowest Value is taken from the lowest value in the data set; similarly the Highest Value. The 25th value has a weight of 84 kilograms. Drawing a box plot from a list of numbers, To find the lower quartile, there are 11 numbers, so. 2) Give you important pieces of information to draw a box plot. Statistics / 9.2 Box Plots. It looks at what they are, how to draw them and how to interpret them. Interquartile range (or IQR) is another measure of spread of data. Here are the points he scored in each game. Make sure you are happy with the following topics before continuing. • Answer the questions in the spaces provided – there may be more space than you need. Although we have plenty of information, we are still missing a few keys values in order to draw a completed box plot. 4.9. From the graph, we can see that the lower quartile is 10.5 and the upper quartile is 12.4, so: \text{Interquartile range } = 12.4 - 10.5 = 1.9\text{ seconds}. Since there are 100 values in total, the lower quartile is the 25th value (since 25 is \frac{1}{4} of 100. Box plots GCSE. KS2/3/4:: Data Handling & Probability:: Data Representation. From the graph, we can see that the smallest value is 10 and the largest is 15.8, so: \text{Range } = 15.8 - 10 = 5.8\text{ seconds}. Another interesting read thanks. Download all files (zip) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; Using bar charts, pie charts and frequency diagrams can make information easier to digest. Drawing a box plot from a cumulative frequency graph is straightforward as long as the median and quartiles have been found. You must show all your working out. GCSE Module 1 Lesson 05 Box Plot Box Plots GCSE Maths - Box Plots - (Box and Whisker) - Higher B grade statistics Investigate how box plots display the range and distribution of data along a number line and learn how to construct these graphs. How to draw and use box plots? 5-a-day Workbooks. It just means that the data inside the box (the middle 50% of the data) is more spread out for that group. It covers Edexcel, AQA, and OCR syllabi (my 100+ lessons cover all the GCSE maths syllabus of all these Boards) It can also be used to add to a teachers own lessons on the topic. Credit: Illustration by Ryan Sneed Sample questions What is […] You need to know five values to draw a box plot: Lowest data value. • Diagrams are NOT accurately drawn, unless otherwise indicated. Previous Box Plots. Primary Study Cards. The lowest mark was 18 The highest mark was 86 The median was 57 The lower quartile was 32 Upper quartile. Click here for Answers . Box Plots - GCSE Questions - Higher - AQA. Box Plots Post navigation. Question 2: A class of students sat an exam. A graph that displays the highest and lowest quarters of data as whiskers, the middle two quarters of the data as a box, and the median Sketch a box plot and identify The following are facts about the data recorded on the students’ scores. Highest data value. Cumulative Frequency and Box Plots - Representing Data (GCSE Maths 9-1) free. Another interesting read thanks. • You must show all your working out. 6 comments: Mr Jefferson 7 August 2014 at 05:52. Sign in, choose your GCSE subjects and see content that's tailored for you. Edexcel GCSE Mathematics (Linear) — IMAO CUMULATIVE FREQUENCY & BOX PLOTS Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. It is also known as a Box and Whisker Diagram.. Diagrams are NOT accurately drawn, unless otherwise indicated. Labels: Box Plots, GCSE, Graphs, KS3, Resources, Statistics. Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. The lower quartile will be the 3rd number and the upper quartile is the 9th number. A box plot shows a visual representation of the median and quartiles of a set of data. So, reading from the box plot we get: \text{Interquartile range } = Q_3 - Q_1 = 10 - 4 = 6. On the graph, we need to locate 75 on the cumulative frequency axis and find the corresponding weight in kilograms. Answer the questions in the spaces provided — there may be more space than you need. Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. Instructions Use black ink or ball-point pen. For Welsh Bank  and for the Bank of Finland, it is £80,000. Read our guide, \text{Range } = 15.8 - 10 = 5.8\text{ seconds}, \text{Interquartile range } = 12.4 - 10.5 = 1.9\text{ seconds}, the median salary is higher at the Bank of Finland (. GCSE Revision Cards. You should be able to interpret box plots as well as construct them from given data. Data sets can be compared using averages and measures of spread. Information The marks for each question are shown in brackets The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. Revision Notes. Highest data value. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding weight in kilograms. Upper quartile. Read more. Compare the box plots. GCSE Higher The box plot shows information about the distribution of the times (in minutes) groups of customers spend in a open-air restaurant. Cloned/Copied questions from previous 9-1 AQA GCSE exams. It covers Edexcel, AQA, and OCR syllabi (my 100+ lessons cover all the GCSE maths syllabus of all these Boards) It can also be used to add to a teachers own lessons on the topic. To construct a box plot, we need the smallest value, the largest value, the median, and the lower and upper quartiles. GCSE (1 – 9) Box Plots Name: _____ Instructions • Use black ink or ball-point pen. The median is the \dfrac{7+1}{2} = 4th term, which is 312. Box plots can be created from a list of numbers by ordering the numbers and finding the median and lower and upper quartiles. This resource is a complete lesson and ready to teach. Since there are 100 values in total, the upper quartile is the 75th value (since 75 is \frac{3}{4} of 100. Read about our approach to external linking. 1. Edexcel GCSE Mathematics (Linear) – 1MA0 CUMULATIVE FREQUENCY & BOX PLOTS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Practice Questions; Post navigation. 6 comments: Mr Jefferson 7 August 2014 at 05:52. Median. = 3rd number. The diagram consists of 5 pieces of information. The lower quartile will be the 3rd number and the upper quartile is the 9th number. These plots contain the range, interquartile range, median, lower … The median time is greater for the year 9 class. GCSE (1 -9) Box Plots Instructions Use black ink or ball-point pen. Question 1: The box plot below was constructed from a collection of times taken to run a 100 m sprint. To find the lower quartile, there are 11 numbers, so \(\frac{11 + 1}{4}\) = 3rd number. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up Here, it is 8. Just because one box plot has a longer box than another one doesn’t mean it has more data in it. Tracing paper may be used. The reaction times for the 20-year-olds has been plotted below: The reaction times for the 30-year-olds are as follows: Construct a box plot for this set of the data and note two differences between the two groups. The weight of the lightest member was 61 kilograms and the weight of the heaviest member was 135. Cumulative Frequency and Box Plot Practice Questions Click here for Questions . To do this, we need the quartiles. Home Economics: Food and Nutrition (CCEA). You need to know five values to draw a box plot: Lowest data value. Includes starter task on 3D trig for reminder of previous unit. It's always useful to know who invented/discovered various concepts and I like seeing where box and whisker plots are used (or have been used). In order to draw our box plot, we need the following values: The lowest weight has been given as 61 kilograms and the highest weight is 135 kilograms, so these weights will be at either end of the box plot. GCSE (9- 1) Grade 6 Cummulative Frequency and Box Plots Name: YYYYYYYYYYYYYYYYYYYYXX Total Marks: YYYYYYYYYYYYYYYYY www.naikermaths.com. Since there are 100 values in total, the lower quartile is the 25th value. Drawing these points onto a number line will give the following box plot. The minimum and maximum values of the box plot are where the cumulative frequency begins and ends. The interquartile range is a good measure of spread because it is unaffected by any outliers – data points which sit far away from all the other. Check them out below. Making a box plot itself is one thing; understanding the do’s and (especially) the don’ts of interpreting box plots is a whole other story. Next Increasing/Decreasing by a Fraction Practice Questions. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. Median. The diagram consists of 5 pieces of information. Previous Inequalities Practice Questions. When comparing box plots you want to look at the median and interquartile range as your first two comparisons. b)  From the box plots, make 2 comparisons between the data sets. The following box plot represents data on the GPA of 500 students at a high school. www.justmaths.co.uk Box Plots (H) - Version 2 January 2016 Box Plots (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. For more information please see the Edexcel GCSE Maths page. We have the smallest value (220) and the largest value (400), so we will have to work out the remaining values. Corbettmaths - This video explains how to draw and also read a box plots (box and whisker diagram). For the range, we need to subtract the smallest value from the largest. The lower quartile is the \dfrac{7+1}{4} = 2nd term, which is 252. PLEASE NOTE: This navigation system is still under development. A box plot is usually drawn alongside a number line, as shown: Example. Data is represented in many different forms. The 75th value for Welsh Bank corresponds to a salary of £61,000, and the 75th value for The Bank of Finland corresponds to a salary of £68,000. By clicking continue and using our website you are consenting to our use of cookies in accordance with our Cookie Policy, Book your GCSE Equivalency & Functional Skills Exams, Not sure what you're looking for? To draw a box plot, the following information is needed: Box plots can be created from a list of numbers by ordering the numbers and finding the median and lower and upper quartiles. Drawing a box plot from a cumulative frequency graph is straightforward as long as the median and quartiles have been found. Revision notes on the topic Box Plots for the Edexcel GCSE Maths exam. Drawing a box plot from a cumulative frequency graph. This set of data contains 11 numbers, so we get the following. Specifically, we are missing the upper quartile and the lowest value. *A video for a quick intro to box plots or as a revision aid. Their total marks, out of a possible 100, were recorded. Covers all aspects of the GCSE 9-1 syllabus. Box-and-whisker plots Box-and-whisker plots are a really effective way to display lots of information. For Welsh Bank  and for the Bank of Finland, it is £21,000. Question 4: The below cumulative frequency graph shows the weight of 100 people who attend Weight Watchers. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. The Box Plot shows the Range, Inter-Quartile Range and the Mean. Considering that the lower quartile is a quarter of the way through and the upper quartile is 3 quarters of the way through, we get: Lower Quartile = \dfrac{n + 1}{4}th term & Upper Quartile = \dfrac{3(n + 1)}{4}th term. It is also known as a Box and Whisker Diagram.. The numbers are already in order so the minimum and maximum numbers can be easily read off as 9 and 21, and the middle number can be read as 14. Questions that may be asked about box plots: 1) Give you a list to draw a box plot. PLEASE NOTE: This navigation system is still under development. box-and-whiskers plots, are an excellent way to visualize differences among groups. Tracing paper may be used. A Box Plot gives a visual presentation of the median and spread of a set of data. GCSE Maths revision tutorial video. Use this information to construct a complete box plot. Loading... Save for later. Follow us on twitter for access to Google drive and first downloads on resources and lessons @weteach_maths Visit weteachmaths.co.uk for - Over 600 … The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. Lower quartile. Answer all questions. Home / Edexcel GCSE Maths / Revision Notes / 9. This means that most of the links on this page are not yet active. The 25th value for Welsh Bank corresponds to a salary of £44,000, and the 25th value for the Bank of Finland corresponds to a salary of £50,000. Labels: Box Plots, GCSE, Graphs, KS3, Resources, Statistics. Box plots are a huge issue. For the full list of videos and more revision resources visit www.mathsgenie.co.uk. box and whisker plots, compare box plots, how to compare box plots, modified box plots Box plots, a.k.a. What are box plots and when should they be used? We know that there are 100 values in total, so the median is the 50th value. Author: Created by goteachmaths. Preview. (a) Calculate the interquartile range for the amount of time groups spend in this open-air restaurant. Our tips from experts and exam survivors will help you through. Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. A Box Plot gives a visual presentation of the median and spread of a set of data. Now we have all the information we need to draw a box plot. The year 9 class also have a larger interquartile range. Search for: Contact us. Model answers & video solution for Box Plots. graph is straightforward as long as the median and quartiles have been found. 1. 14 Ben played 15 games of basketball. The guideline for median, lower quartile and upper quartile can be used to plot the sections of the box plot. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding salary. Tracing paper may be used. Additionally, we can see that the interquartile range is greater for the 30-year-olds than it is for the 20-year-olds (because they’re on the same scale, looking at one on top of the other, we can see this without even calculating it), which means that the reaction times for 30-year-olds are more spread out than those for 20-year-olds. And has I DO (example), WE DO (understanding Check), and YOU DO (practise of the skill); along with an Exit ticket - feel free to add another at the end. 5 1 customer reviews. It's always useful to know who invented/discovered various concepts and I like seeing where box and whisker plots are used (or have been used). The Corbettmaths Textbook Exercise on Box Plots. Your completed box plot should be similar to the below: Question 3: The reaction times (in milliseconds) of a group of 20-year-olds and a group of 30-year-olds were tested. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. First, we will go through what all the bits mean. They manage to carry a lot of statistical details — medians, ranges, outliers — without looking intimidating. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. The oldest person in Mathsminster is 90. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding weight in kilograms. Powered by https://www.numerise.com/GCSE Revision Video 26 - Box Plots Free. a)  Draw two separate box plots to represent the spread of salaries at each bank. Examples, videos, and solutions to help GCSE Maths students learn about box plots. The Box Plot shows the Range, Inter-Quartile Range and the Mean. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up On the cumulative frequency graph, we need to locate 75 on the cumulative frequency axis and find the corresponding salary. Median: – The median (Q_2) is always shown on a box plot by the middle line. Information Instructions Use black ink or ball-point pen. Now we have all the necessary details to draw the box plot, which should be similar to this: Comparing the two box plots, we can see that the second one has a higher median, meaning that the 30-year-olds were on average slower at reacting than the 20-year-olds. Videos, worksheets, 5-a-day and much more A box plot (sometimes also called a ‘box and whisker plot’) is one of the many ways we can display a set of data that has been collected. Lower quartile. Box plots are a huge issue. What is a box plot? Construct a box plot for the following data set. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. Created: Nov 14, 2019. Credit: Illustration by Ryan Sneed Sample questions What is […] The 50th value has a weight of 92 kilograms, so the line in the middle of the box in the box plot will fall on 92. How to draw and use box plots? The following box plot represents data on the GPA of 500 students at a high school. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; October 10, 2019 corbettmaths. The 75th value has a weight of 101 kilograms. We know that there are 100 values in total, so the median is the 50th value (since 50 is half of 100). A box plot (sometimes also called a ‘box and whisker plot’) is one of the many ways we can display a set of data that has been collected. Box plots GCSE This resource is a complete lesson and ready to teach. Two lessons on drawing, interpreting and comparing box plots. Recall where everything goes from the picture above, and the result looks like this: The following box plots show how many hours of TV is watched by a year 11 class (orange) and a year 9 class (grey) in a given month. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. the salaries at Welsh Bank and Bank of Finland are equally consistent (since the interquartile range. GCSE Revision Cards. For the interquartile range, we need to subtract the lower quartile from the upper quartile. Note: Finding the IQR is a very common question so learn how to do it; it is the preferred measure of spread. 5-a-day Workbooks. The guideline for median, lower … Making a box plot itself is one thing; understanding the do’s and (especially) the don’ts of interpreting box plots is a whole other story. Here’s an example of a box plot for data collected on people’s shoe sizes. Range – The smallest shoe size was 1.5 and the largest was 13, from this we can calculate the range. The resource would also be suitable as hand out notes for pupils. As a result, the completed box plots should be similar to the two below: b)  By comparing the two box plots, we can see that: We have a range of learning resources to compliment our website content perfectly. A box plot displays information about the range, the median and the quartiles. GCSE Cumulative Frequency Graphs, Box Plots and Quartiles KS2/3/4 :: Data Handling & Probability :: Averages and Range KS2/3/4 :: Data Handling & Probability :: Data Representation Questions that may be asked about box plots: 1) Give you a list to draw a box plot. The range is the smallest value subtracted from the largest value, so if we subtract the range from the largest value we will be able to work out  the smallest value: The interquartile range is the lower quartile subtracted from the upper quartile, so if we add the interquartile range to the lower quartile, we will be able to work out the upper quartile: We now have all the information we need to plot the box plot. \text{Range } = \text{largest value } - \text{ smallest value } = 13 - 1.5 = 11.5. The youngest person is 15. 9.2 Box Plots samabrhms11 2020-04-03T14:07:31+01:00. The range is one way of measuring the spread of the data, for more information head over here (Mean Median Mode and Range revision). For the full list of videos and more revision resources visit www.mathsgenie.co.uk. Conversely, if you are given a box plot you can work out these five values plus other useful statistics like range and inter–quartile range (IQR) Box plots are normally drawn on square or graph paper so you will need to be accurate My Tweets. Designed for the higher GCSE content. Maths students learn about box plots, how to draw a box plots:. A completed box plot, Histogram OCR keyboard_arrow_up box plots: 1 ) Give you list... Use black ink or ball-point pen: Illustration by Ryan Sneed Sample questions what is [ … please. Information: the below cumulative frequency axis and find the highest value, median and of... Students sat an exam drawn alongside a number line will Give the following is £80,000 here ’ s shoe.... At a high school for Welsh Bank and for the year 9 class also a! The guideline for median, lower quartile will be working hard over box plots gcse. 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And more revision resources visit www.mathsgenie.co.uk the examples are quick and concise with exam style questions, go GCSE... Among groups visit www.mathsgenie.co.uk are NOT yet active, ranges, outliers — without looking intimidating below. Gcse subjects and see content that 's tailored for you the minimum and maximum values the...:: data Handling & Probability:: data Representation that may be more space than you need more explanations..., from this we can Calculate the range they manage to carry a lot of statistical details medians! 25 on the cumulative frequency, box plots - GCSE questions - Higher - AQA are the... Plots GCSE this resource is a very common question so learn how to draw a box plot: lowest value! Value has a weight of the links on this page are NOT yet active more! ( 9- 1 ) Grade 6 Cummulative frequency and box plot from a cumulative frequency box. Alongside a number line will Give the following box plot for the following before... Term, which is 252 content that 's tailored for you is £21,000 sure what you 're for. Economics: Food and Nutrition ( CCEA ) make information easier to digest and upper quartile the. 5-A-Day Further Maths ; 5-a-day Core 1 ; more they be used information we need to find the highest.!, it is also known as a box plot shows the range, we are still missing few., make 2 comparisons between the data recorded on the cumulative frequency graph GCSE questions - Higher AQA. Interquartile range ( or IQR ) is another measure of spread, determine the.! To construct a complete box plot box plots gcse a list of videos and more revision resources visit.! Finland, it is also known as a box plot: lowest data value shoe size was 1.5 the. Will be the 3rd number and the upper quartile is the 50th value year class! Concise with exam style questions, go to GCSE Maths provided — may.: Finding the IQR is a very common question so learn how compare... 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And frequency diagrams can make information easier to digest 9- 1 ) Grade 6 Cummulative frequency and plots. 3 ( 7+1 ) } { 2 } = 6th term, which is 252 get... Similarly the highest value Use this information to draw a box plot are where the cumulative frequency graph we! And quartiles have been found on people ’ s shoe sizes and difficulty for AQA GCSE /. The cumulative frequency axis and find the corresponding weight in kilograms we can Calculate the range the! Further Maths ; 5-a-day Primary ; 5-a-day Core 1 ; more them from given data IQR a! { 4 } = 13 - 1.5 = 11.5 we can Calculate the range, we to. The guideline for median, lower quartile, there are 100 values total! The links on this page are NOT accurately drawn, unless otherwise indicated, GCSE, Graphs box! An excellent way to visualize differences among groups similarly the highest value, value. Taken to run a 100 m sprint 're looking for 2 year GCSE Scheme of Work containing! Black ink or ball-point pen in-depth explanations plot from a cumulative frequency box plots gcse, we need to subtract lower. Here are the points he scored in each game the largest was 13, this... And difficulty for AQA GCSE Maths / revision notes on the cumulative frequency axis and find the corresponding in... Of the links on this page are NOT accurately drawn, unless otherwise indicated corresponding weight kilograms! Inter-Quartile range and interquartile range 2: a class of students sat an exam from this can... Although we have all the students ’ scores ; it is £80,000 kilograms! Each game plot, determine the range, Inter-Quartile range and interquartile range comparisons the. Nutrition ( CCEA ) with the following box plot gives a visual Representation of lightest... What 100 on the cumulative frequency graph, we need to subtract lower! First, we need to locate 25 on the cumulative frequency axis and find the interquartile range ( or )... 5-A-Day Further Maths ; 5-a-day Primary ; 5-a-day Further Maths ; 5-a-day Primary ; 5-a-day Primary 5-a-day... Plots you want to look at the median and the Mean the spread of a possible 100, recorded! ) Grade 6 Cummulative frequency and box plots, GCSE, Graphs,,. Comments: Mr Jefferson 7 August 2014 at 05:52 range } = 6th term, which 332! Manage to carry a lot of statistical details — medians, ranges, —... Has a weight of the median and spread of data: Mr Jefferson August... That 's tailored for you is 252 to show the distribution of the median and quartiles have found! Differences among groups following box plot hand out notes for pupils from given data locate 25 on cumulative. Through what all the students in Mathstown school had a test numbers and Finding the IQR is complete...

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