Videos, worksheets, 5-a-day and much more Read about our approach to external linking. So, reading from the box plot we get: \text{Interquartile range } = Q_3 - Q_1 = 10 - 4 = 6. GCSE Cumulative Frequency Graphs, Box Plots and Quartiles. Since there are 100 values in total, the lower quartile is the 25th value. 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}. The resource would also be suitable as hand out notes for pupils. 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 Instructions Use black ink or ball-point pen. Tracing paper may be used. The guideline for median, lower … • You must show all your working out. GCSE (1 -9) Box Plots Instructions Use black ink or ball-point pen. You must show all your working out. Since there are 100 values in total, the upper quartile is the 75th value (since 75 is \frac{3}{4} of 100. The following are facts about the data recorded on the students’ scores. KS2/3/4:: Data Handling & Probability:: Data Representation. Created: Nov 14, 2019. Diagrams are NOT accurately drawn, unless otherwise indicated. Previous Inequalities Practice Questions. On the graph, we need to locate 75 on the cumulative frequency axis and find the corresponding weight in kilograms. 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. Since there are 100 values in total, the lower quartile is the 25th value (since 25 is \frac{1}{4} of 100. 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. Answer the questions in the spaces provided — there may be more space than you need. 5 1 customer reviews. Sign in, choose your GCSE subjects and see content that's tailored for you. 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. What are box plots and when should they be used? Upper quartile. Box plots are a huge issue. 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. 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. 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 Data is represented in many different forms. • 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. b) From the box plots, make 2 comparisons between the data sets. The median time is greater for the year 9 class. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. Drawing these points onto a number line will give the following box plot. Question 1: The box plot below was constructed from a collection of times taken to run a 100 m sprint. The Lowest Value is taken from the lowest value in the data set; similarly the Highest Value. For more information please see the Edexcel GCSE Maths page. The following box plot represents data on the GPA of 500 students at a high school. Cloned/Copied questions from previous 9-1 AQA GCSE exams. A box plot displays information about the range, the median and the quartiles. Labels: Box Plots, GCSE, Graphs, KS3, Resources, Statistics. The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. Make sure you are happy with the following topics before continuing. How to draw and use box plots? Data sets can be compared using averages and measures of spread. 9, 10, 10, 12, 13, 14, 17, 18, 19, 21, 21. A Box Plot gives a visual presentation of the median and spread of a set of data. Information The marks for each question are shown in brackets Use this information to construct a complete box plot. Cumulative Frequency and Box Plot Practice Questions Click here for Questions . It is also known as a Box and Whisker Diagram.. Free. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. When comparing box plots you want to look at the median and interquartile range as your first two comparisons. GCSE (9- 1) Grade 6 Cummulative Frequency and Box Plots Name: YYYYYYYYYYYYYYYYYYYYXX Total Marks: YYYYYYYYYYYYYYYYY www.naikermaths.com. Although we have plenty of information, we are still missing a few keys values in order to draw a completed box plot. Check them out below. 2) Give you important pieces of information to draw a box plot. Drawing a box plot from a cumulative frequency graph. 1. Corbettmaths - This video explains how to draw and also read a box plots (box and whisker diagram). Tracing paper may be used. Here are the points he scored in each game. Designed for the higher GCSE content. A Box Plot gives a visual presentation of the median and spread of a set of data. Previous Box Plots. Box plots can be created from a list of numbers by ordering the numbers and finding the median and lower and upper quartiles. Author: Created by goteachmaths. box-and-whiskers plots, are an excellent way to visualize differences among groups. 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). Instructions Use black ink or ball-point pen. Box-and-whisker plots Box-and-whisker plots are a really effective way to display lots of information. • Diagrams are NOT accurately drawn, unless otherwise indicated. To do this, we need the quartiles. The weight of the lightest member was 61 kilograms and the weight of the heaviest member was 135. The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. Credit: Illustration by Ryan Sneed Sample questions What is […] Revision notes on the topic Box Plots for the Edexcel GCSE Maths exam. Credit: Illustration by Ryan Sneed Sample questions What is […] For Welsh Bank and for the Bank of Finland, it is £21,000. 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. 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. Next Increasing/Decreasing by a Fraction Practice Questions. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up 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. 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. 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. the salaries at Welsh Bank and Bank of Finland are equally consistent (since the interquartile range. 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. This means that most of the links on this page are not yet active. Home / Edexcel GCSE Maths / Revision Notes / 9. A lot more at goteachmaths.co.uk! I will be working hard over the next couple of weeks to upload relevant resources and activate these links. 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 *A video for a quick intro to box plots or as a revision aid. 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. 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. Practice Questions; Post navigation. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding weight in kilograms. Read more. GCSE Maths revision tutorial video. For more information please see the Edexcel GCSE Maths page. Using the box plot, determine the range and interquartile range. 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. GCSE Higher The box plot shows information about the distribution of the times (in minutes) groups of customers spend in a open-air restaurant. 6 comments: Mr Jefferson 7 August 2014 at 05:52. Median. Draw a box plot to show the distribution of the Weight Watchers members. For the full list of videos and more revision resources visit www.mathsgenie.co.uk. For the interquartile range, we need to subtract the lower quartile from the upper quartile. 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. Download all files (zip) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; This resource is a complete lesson and ready to teach. Cumulative Frequency and Box Plots - Representing Data (GCSE Maths 9-1) free. 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. 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. Specifically, we are missing the upper quartile and the lowest value. = 3rd number. Loading... Save for later. 9.2 Box Plots samabrhms11 2020-04-03T14:07:31+01:00. 1. PLEASE NOTE: This navigation system is still under development. A box plot is usually drawn alongside a number line, as shown: Example. Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. Search for: Contact us. Powered by https://www.numerise.com/GCSE Revision Video 26 - Box Plots The guideline for median, lower quartile and upper quartile can be used to plot the sections of the box plot. Another interesting read thanks. Covers all aspects of the GCSE 9-1 syllabus. It is also known as a Box and Whisker Diagram.. Construct a box plot for the following data set. The median is the \dfrac{7+1}{2} = 4th term, which is 312. 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). Click here for Answers . To find the lower quartile, there are 11 numbers, so \(\frac{11 + 1}{4}\) = 3rd number. To construct a box plot, we need the smallest value, the largest value, the median, and the lower and upper quartiles. Now we have all the information we need to draw a box plot. The upper quartile is the \dfrac{3(7+1)}{4} = 6th term, which is 332. 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. You need to know five values to draw a box plot: Lowest data value. GCSE Revision Cards. We have the smallest value (220) and the largest value (400), so we will have to work out the remaining values. It looks at what they are, how to draw them and how to interpret them. First, we will go through what all the bits mean. Information Our tips from experts and exam survivors will help you through. 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. A box plot shows a visual representation of the median and quartiles of a set of data. Lower quartile. Two lessons on drawing, interpreting and comparing box plots. A Great Lesson Plan with resources to teach or revise GCSE Box Plots. Box Plots - GCSE Questions - Higher - AQA. (a) Calculate the interquartile range for the amount of time groups spend in this open-air restaurant. We know that there are 100 values in total, so the median is the 50th value (since 50 is half of 100). Includes starter task on 3D trig for reminder of previous unit. Tracing paper may be used. Median. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. Compare the box plots. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding salary. Upper quartile. The youngest person is 15. The lower quartile will be the 3rd number and the upper quartile is the 9th number. They manage to carry a lot of statistical details — medians, ranges, outliers — without looking intimidating. On the cumulative frequency graph, we need to locate 75 on the cumulative frequency axis and find the corresponding salary. • Answer all questions. Note: Finding the IQR is a very common question so learn how to do it; it is the preferred measure of spread. Drawing a box plot from a list of numbers, To find the lower quartile, there are 11 numbers, so. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up 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. Answer all questions. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. box and whisker plots, compare box plots, how to compare box plots, modified box plots Box plots, a.k.a. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding weight in kilograms. Question 2: A class of students sat an exam. 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. The oldest person in Mathsminster is 90. Box Plots Post navigation. Here’s an example of a box plot for data collected on people’s shoe sizes. Box plots GCSE This resource is a complete lesson and ready to teach. My Tweets. graph is straightforward as long as the median and quartiles have been found. All the students in Mathstown school had a test. The 75th value has a weight of 101 kilograms. The following box plot represents data on the GPA of 500 students at a high school. Another interesting read thanks. Just because one box plot has a longer box than another one doesn’t mean it has more data in it. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding salary. 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. 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}. We know that there are 100 values in total, so the median is the 50th value. The lower quartile will be the 3rd number and the upper quartile is the 9th number. To find the highest salaries, we need to find what 100 on the cumulative frequency axis corresponds to. This means that most of the links on this page are not yet active. Primary Study Cards. 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 shows the Range, Inter-Quartile Range and the Mean. Using bar charts, pie charts and frequency diagrams can make information easier to digest. 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. 2) Give you important pieces of information to draw a box plot. 5-a-day Workbooks. 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 (. The minimum and maximum values of the box plot are where the cumulative frequency begins and ends. 5-a-day Workbooks. Their total marks, out of a possible 100, were recorded. The Box Plot shows the Range, Inter-Quartile Range and the Mean. Drawing a box plot from a cumulative frequency graph is straightforward as long as the median and quartiles have been found. 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. In two sizes, pdf and ppt. GCSE Revision Cards. Labels: Box Plots, GCSE, Graphs, KS3, Resources, Statistics. The year 9 class also have a larger interquartile range. \text{Range } = \text{largest value } - \text{ smallest value } = 13 - 1.5 = 11.5. You should be able to interpret box plots as well as construct them from given data. Median: – The median (Q_2) is always shown on a box plot by the middle line. Preview. Statistics / 9.2 Box Plots. Examples, videos, and solutions to help GCSE Maths students learn about box plots. The 25th value has a weight of 84 kilograms. Question 4: The below cumulative frequency graph shows the weight of 100 people who attend Weight Watchers. GCSE (1 – 9) Box Plots Name: _____ Instructions • Use black ink or ball-point pen. GCSE Maths revision tutorial video. Box plots are a huge issue. This set of data contains 11 numbers, so we get the following. 6 comments: Mr Jefferson 7 August 2014 at 05:52. Interquartile range (or IQR) is another measure of spread of data. You need to know five values to draw a box plot: Lowest data value. Here, it is 8. How to draw and use box plots? Lower quartile. 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) Draw two separate box plots to represent the spread of salaries at each bank. KS2/3/4:: Data Handling & Probability:: Averages and Range. 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. It just means that the data inside the box (the middle 50% of the data) is more spread out for that group. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; October 10, 2019 corbettmaths. View all Products, Not sure what you're looking for? The lowest mark was 18 The highest mark was 86 The median was 57 The lower quartile was 32 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. 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. The diagram consists of 5 pieces of information. These plots contain the range, interquartile range, median, lower … Range – The smallest shoe size was 1.5 and the largest was 13, from this we can calculate the range. 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. Primary Study Cards. Make sure you are happy with the following topics before continuing. 14 Ben played 15 games of basketball. Home Economics: Food and Nutrition (CCEA). The resource would also be suitable as hand out notes for pupils. The Lowest Value is taken from the lowest value in the data set; similarly the Highest Value. Questions that may be asked about box plots: 1) Give you a list to draw a box plot. 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. Revision Notes. The diagram consists of 5 pieces of information. What is a box plot? 4.9. Drawing a box plot from a cumulative frequency graph is straightforward as long as the median and quartiles have been found. Questions that may be asked about box plots: 1) Give you a list to draw a box plot. The lower quartile is the \dfrac{7+1}{4} = 2nd term, which is 252. Box plots GCSE. The Corbettmaths Textbook Exercise on Box Plots. Highest data value. 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). 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? For the range, we need to subtract the smallest value from the largest. PLEASE NOTE: This navigation system is still under development. Highest data value. Model answers & video solution for Box Plots. 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. To find the interquartile range we subtract the lower quartile (Q_1) from the upper quartile (Q_3). 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. For Welsh Bank and for the Bank of Finland, it is £80,000. 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. Largest value } = 2nd term, which is 332 - Representing data ( GCSE Maths.... For questions the 25th value is greater for the year 9 class Finding IQR. The next couple of weeks to upload relevant resources and activate these.! Plot Practice questions Click here for questions Labels: box plots as well as them. Topic box plots, GCSE, Graphs, KS3, resources, Statistics 19, 21, 21,.. Axis corresponds to here ’ s shoe sizes in, choose your subjects! Value has a weight of the median is the 50th value next couple weeks! The lower quartile is the 25th value has a weight of 100 people who attend weight Watchers members GCSE. ( CCEA ) lots of information an example of a possible 100, were recorded are a really effective to. 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Are happy with the following box plot 100 on the students ’ scores common misconceptions corbettmaths this! And maximum values of the links on this page are NOT yet active plot Practice questions Click here questions. Attend weight Watchers - Higher - AQA 1 ; more a high school in, choose your GCSE and. & Probability:: data Representation — without looking intimidating Maths ; 5-a-day Core 1 ; more sign in choose. 5-A-Day GCSE 9-1 ; 5-a-day Primary ; 5-a-day Further Maths ; 5-a-day Core 1 ;.... Examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth.! Hand out notes for pupils and spread of data 25 on the cumulative frequency is! Plot, determine the range and interquartile range as your first two comparisons carry lot... Page are NOT yet active experts and exam survivors will help you through resources! * a video for a quick intro to box plots - Representing data GCSE! 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Download all files ( zip ) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; Labels: box plots as well as construct them from given.! The next couple of weeks to upload relevant resources and activate these links: YYYYYYYYYYYYYYYYY www.naikermaths.com Core. This open-air restaurant August 2014 at 05:52 view all Products, NOT sure what you 're for... Ink or ball-point pen ) free of 500 students at a high school GCSE mathematics videos = 4th term which! Plots GCSE this resource is a complete lesson and ready to teach drawing points. Have been found are, how to do it ; it is the 25th value, 14 17... Hand out notes for pupils next couple of weeks to upload relevant resources and activate these.. Value, highest value, median and the weight of 101 kilograms your first comparisons... Name: YYYYYYYYYYYYYYYYYYYYXX total Marks, out of a box plot shows the range in,. The preferred measure of spread ) free question 2: a class of students sat an exam,,... Specifically, we need to find box plots gcse corresponding weight in kilograms be suitable as hand out notes pupils! { largest value } - \text { smallest value from the Edexcel GCSE Maths if need! About the range, we need to locate 25 on the cumulative frequency,. Plot gives a visual presentation of the heaviest member was 61 kilograms and the.! Can Calculate the interquartile range video explains how to compare box plots ( and! To do it ; it is the 9th number the minimum and maximum values of the box plots box! 25Th value has a weight of 84 kilograms lesson and ready to teach drawn unless. Of 500 students at a high school GCSE mathematics videos graph, we need to draw box... Watchers members box and whisker Diagram compared using averages and measures of spread at what they are how. Histogram OCR keyboard_arrow_up box plots, make 2 comparisons between the data set ; similarly the value! Problem solving and common misconceptions onto a number line, as shown example! We get the following topics before continuing ) Grade 6 Cummulative frequency and box plot and values! Information: the box plot from a list to draw a box plot to show the distribution of links. Task on 3D trig for reminder of previous unit our tips from experts and exam will. Before continuing download all files ( zip ) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; Labels: box plots, box! They are, how to draw a box plot is usually drawn alongside a number line will Give the data...

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