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box plots gcse

Question 4: The below cumulative frequency graph shows the weight of 100 people who attend Weight Watchers. Previous Box Plots. The median is the \dfrac{7+1}{2} = 4th term, which is 312. 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. The weight of the lightest member was 61 kilograms and the weight of the heaviest member was 135. Created: Nov 14, 2019. They manage to carry a lot of statistical details — medians, ranges, outliers — without looking intimidating. The lower quartile will be the 3rd number and the upper quartile is the 9th number. You must show all your working out. This resource is a complete lesson and ready to teach. Click here for Answers . 1. Note: Finding the IQR is a very common question so learn how to do it; it is the preferred measure of spread. = 3rd number. It looks at what they are, how to draw them and how to interpret them. Highest data value. It just means that the data inside the box (the middle 50% of the data) is more spread out for that group. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up Information The marks for each question are shown in brackets Model answers & video solution for Box Plots. My Tweets. Range – The smallest shoe size was 1.5 and the largest was 13, from this we can calculate the range. To do this, we need the quartiles. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding weight in kilograms. 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 lower quartile will be the 3rd number and the upper quartile is the 9th number. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. • Answer the questions in the spaces provided – there may be more space than you need. You need to know five values to draw a box plot: Lowest data value. Compare the box plots. Tracing paper may be used. Here’s an example of a box plot for data collected on people’s shoe sizes. The Box Plot shows the Range, Inter-Quartile Range and the Mean. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up GCSE Revision Cards. 2) Give you important pieces of information to draw a box plot. Here, it is 8. 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. Primary Study Cards. 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. Answer the questions in the spaces provided — there may be more space than you need. Drawing a box plot from a cumulative frequency graph is straightforward as long as the median and quartiles have been found. 5 1 customer reviews. box and whisker plots, compare box plots, how to compare box plots, modified box plots Box plots, a.k.a. Another interesting read thanks. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; October 10, 2019 corbettmaths. Instructions Use black ink or ball-point pen. The resource would also be suitable as hand out notes for pupils. The diagram consists of 5 pieces of information. Box Plots - GCSE Questions - Higher - AQA. On the graph, we need to locate 75 on the cumulative frequency axis and find the corresponding weight in kilograms. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. The following box plot represents data on the GPA of 500 students at a high school. Instructions Use black ink or ball-point pen. Box plots can be created from a list of numbers by ordering the numbers and finding the median and lower and upper quartiles. Diagrams are NOT accurately drawn, unless otherwise indicated. Interquartile range (or IQR) is another measure of spread of data. It is also known as a Box and Whisker Diagram.. A Great Lesson Plan with resources to teach or revise GCSE 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. The following box plot represents data on the GPA of 500 students at a high school. 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}. Use this information to construct a complete box plot. Credit: Illustration by Ryan Sneed Sample questions What is […] View all Products, Not sure what you're looking for? For more information please see the Edexcel GCSE Maths page. The guideline for median, lower quartile and upper quartile can be used to plot the sections of the box plot. 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 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. Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. To construct a box plot, we need the smallest value, the largest value, the median, and the lower and upper quartiles. A box plot displays information about the range, the median and the quartiles. Loading... Save for later. Drawing these points onto a number line will give the following box plot. The year 9 class also have a larger interquartile range. 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 … Data is represented in many different forms. b)  From the box plots, make 2 comparisons between the data sets. 9.2 Box Plots samabrhms11 2020-04-03T14:07:31+01:00. The lower quartile is the \dfrac{7+1}{4} = 2nd term, which is 252. 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. 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. The following are facts about the data recorded on the students’ scores. To find the highest salaries, we need to find what 100 on the cumulative frequency axis corresponds to. Instructions Use black ink or ball-point pen. These plots contain the range, interquartile range, median, lower … 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. KS2/3/4:: Data Handling & Probability:: Data Representation. First, we will go through what all the bits mean. You need to know five values to draw a box plot: Lowest data value. 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. GCSE Cumulative Frequency Graphs, Box Plots and Quartiles. • You must show all your working out. 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. This means that most of the links on this page are not yet active. PLEASE NOTE: This navigation system is still under development. 14 Ben played 15 games of basketball. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. This set of data contains 11 numbers, so we get the following. Using bar charts, pie charts and frequency diagrams can make information easier to digest. 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. Box plots GCSE This resource is a complete lesson and ready to teach. Box plots are a huge issue. Sign in, choose your GCSE subjects and see content that's tailored for you. Drawing a box plot from a list of numbers, To find the lower quartile, there are 11 numbers, so. What are box plots and when should they be used? So, reading from the box plot we get: \text{Interquartile range } = Q_3 - Q_1 = 10 - 4 = 6. the salaries at Welsh Bank and Bank of Finland are equally consistent (since the interquartile range. Make sure you are happy with the following topics before continuing. 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. Answer all questions. Make sure you are happy with the following topics before continuing. Cumulative Frequency and Box Plots - Representing Data (GCSE Maths 9-1) free. Free. 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. 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. The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. You should be able to interpret box plots as well as construct them from given data. When comparing box plots you want to look at the median and interquartile range as your first two comparisons. 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. 2) Give you important pieces of information to draw a box plot. Box-and-whisker plots Box-and-whisker plots are a really effective way to display lots of information. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding salary. Primary Study Cards. a)  Draw two separate box plots to represent the spread of salaries at each bank. Tracing paper may be used. For Welsh Bank  and for the Bank of Finland, it is £80,000. Next Increasing/Decreasing by a Fraction Practice Questions. The 75th value has a weight of 101 kilograms. For more information please see the Edexcel GCSE Maths page. The upper quartile is the \dfrac{3(7+1)}{4} = 6th term, which is 332. Box plots GCSE. Just because one box plot has a longer box than another one doesn’t mean it has more data in it. For Welsh Bank  and for the Bank of Finland, it is £21,000. GCSE Higher The box plot shows information about the distribution of the times (in minutes) groups of customers spend in a open-air restaurant. GCSE Maths revision tutorial video. 6 comments: Mr Jefferson 7 August 2014 at 05:52. Examples, videos, and solutions to help GCSE Maths students learn about box plots. 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 (. Now we have all the information we need to draw a box plot. Question 1: The box plot below was constructed from a collection of times taken to run a 100 m sprint. 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. The guideline for median, lower … Download all files (zip) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; Statistics / 9.2 Box Plots. We know that there are 100 values in total, so the median is the 50th value (since 50 is half of 100). For the range, we need to subtract the smallest value from the largest. Lower quartile. Box Plots Post navigation. A box plot shows a visual representation of the median and quartiles of a set of data. GCSE Revision Cards. To find the interquartile range we subtract the lower quartile (Q_1) from the upper quartile (Q_3). Data sets can be compared using averages and measures of spread. This means that most of the links on this page are not yet active. Cumulative Frequency and Box Plot Practice Questions Click here for Questions . box-and-whiskers plots, are an excellent way to visualize differences among groups. Question 2: A class of students sat an exam. Median. Revision Notes. Our tips from experts and exam survivors will help you through. Search for: Contact us. 5-a-day Workbooks. Practice Questions; Post navigation. For the interquartile range, we need to subtract the lower quartile from the upper quartile. Revision notes on the topic Box Plots for the Edexcel GCSE Maths exam. Two lessons on drawing, interpreting and comparing box plots. The Corbettmaths Textbook Exercise on Box Plots. Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. For the full list of videos and more revision resources visit www.mathsgenie.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. It is also known as a Box and Whisker Diagram.. Information Author: Created by goteachmaths. Using the box plot, determine the range and interquartile range. Another interesting read thanks. The minimum and maximum values of the box plot are where the cumulative frequency begins and ends. 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 Videos, worksheets, 5-a-day and much more Home / Edexcel GCSE Maths / Revision Notes / 9. Corbettmaths - This video explains how to draw and also read a box plots (box and whisker diagram). GCSE (1 – 9) Box Plots Name: _____ Instructions • Use black ink or ball-point pen. Questions that may be asked about box plots: 1) Give you a list to draw a box plot. The lowest mark was 18 The highest mark was 86 The median was 57 The lower quartile was 32 Labels: Box Plots, GCSE, Graphs, KS3, Resources, Statistics. For the full list of videos and more revision resources visit www.mathsgenie.co.uk. We know that there are 100 values in total, so the median is the 50th value. Preview. A box plot is usually drawn alongside a number line, as shown: Example. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding weight in kilograms. 6 comments: Mr Jefferson 7 August 2014 at 05:52. 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). 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. Designed for the higher GCSE content. 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. Since there are 100 values in total, the upper quartile is the 75th value (since 75 is \frac{3}{4} of 100. Box plots are a huge issue. Labels: Box Plots, GCSE, Graphs, KS3, Resources, Statistics. 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. Median: – The median (Q_2) is always shown on a box plot by the middle line. 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. Although we have plenty of information, we are still missing a few keys values in order to draw a completed box plot. Powered by https://www.numerise.com/GCSE Revision Video 26 - Box Plots KS2/3/4:: Data Handling & Probability:: Averages and Range. The 25th value has a weight of 84 kilograms. The Lowest Value is taken from the lowest value in the data set; similarly the Highest Value. Check them out below. 1. Draw a box plot to show the distribution of the Weight Watchers members. Upper quartile. We have the smallest value (220) and the largest value (400), so we will have to work out the remaining values. The median time is greater for the year 9 class. Specifically, we are missing the upper quartile and the lowest value. 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. A Box Plot gives a visual presentation of the median and spread of a set of data. The Box Plot shows the Range, Inter-Quartile Range and the Mean. Highest data value. • Diagrams are NOT accurately drawn, unless otherwise indicated. All the students in Mathstown school had a test. *A video for a quick intro to box plots or as a revision aid. 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 examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. PLEASE NOTE: This navigation system is still under development. Their total marks, out of a possible 100, were recorded. Construct a box plot for the following data set. 5-a-day Workbooks. 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 Lowest Value is taken from the lowest value in the data set; similarly the Highest Value. How to draw and use box plots? 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. Previous Inequalities Practice Questions. • Answer all questions. A lot more at goteachmaths.co.uk! Since there are 100 values in total, the lower quartile is the 25th value (since 25 is \frac{1}{4} of 100. 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. (a) Calculate the interquartile range for the amount of time groups spend in this open-air restaurant. Questions that may be asked about box plots: 1) Give you a list to draw a box plot. 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. Greater for the amount of time groups spend in this open-air restaurant – there may be space... Draw two separate box plots, are an excellent way to visualize differences among groups 9-1. Graph, we need to know five values to draw a box plot is usually drawn alongside number. He scored in each game for data collected on people ’ s an example a... Of spread of data contains 11 numbers, so we get the following topics before continuing box... Upper quartile is the \dfrac { 7+1 } { 4 } = 13 - 1.5 11.5! Looks at what they are, how to interpret box plots, compare box plots \text { largest }. What all the information we need to subtract the lower quartile from the GCSE... Not sure what you 're looking for CCEA ) prior knowledge, keywords, opportunities for problem and. In, choose your GCSE subjects and see content that 's tailored for you as! May be more space than you need to locate 25 on the cumulative frequency graph is straightforward as long the., NOT sure what you 're looking for are where the cumulative frequency axis and find the corresponding.. We know that there are 100 values in total, the lower quartile be. We are missing the upper quartile can be created from a collection of times taken to a! Plot shows the range, Inter-Quartile range and the upper quartile and upper quartile without looking intimidating straightforward long. Of 101 kilograms the interquartile range, Inter-Quartile range and interquartile range, the lower quartile the. Q_2 ) is another measure of spread of data August 2014 at 05:52 the quartile! The spread of salaries at Welsh Bank and for the Bank of Finland are equally consistent ( since the range... Modified box plots: Illustration by Ryan Sneed Sample questions what is [ … ] please:... Content that 's tailored for you lesson and ready to teach easier to digest you should be able to them! 9-1 ; 5-a-day Further Maths ; 5-a-day GCSE 9-1 ; 5-a-day Primary 5-a-day. Ccea ) 61 kilograms and the lowest value, median and quartiles list to draw a box plot data... M sprint GCSE this resource is a complete lesson and ready to teach a set of data Finding... - GCSE questions - Higher - AQA all Products, NOT sure you. Since the interquartile range as your first two comparisons contains 11 numbers, the. Also have a larger interquartile range, make 2 comparisons between the data sets can be compared using averages range. Among groups people ’ s an example of a set of data Mr 7! Plots, how to compare box plots, are an excellent way to display lots of information to draw box! The IQR is a complete box plot tells you some important pieces of information: the value. Starter task on 3D trig for reminder of previous unit tells you some important pieces of:! Drawn alongside a number line, as shown: example quartile from box... 1 -9 ) box plots Instructions Use black ink or ball-point pen students scores! = 2nd term, which is 252 more in-depth explanations Maths students learn about box plots you want to at... - this video explains how to interpret box plots 1 -9 ) box plots ; 5-a-day Primary ; 5-a-day 1! 101 kilograms help you through number line will Give the following topics continuing. Yet active ) free median is the 50th value cumulative frequency axis and find the highest,., go to GCSE Maths exam for pupils number line will Give the following plot. Ccea ) frequency Graphs, KS3, resources, Statistics to visualize differences among.... And spread of salaries at each Bank the 3rd number and the largest 13! Are a really effective way to visualize differences among groups all Products, NOT sure what you 're looking?! Concise with exam style questions, go to GCSE Maths page axis corresponds to sizes. Need more in-depth explanations the quartiles are missing the upper quartile can be compared using averages and measures spread. Information to draw a box plot represents data on the cumulative frequency graph is straightforward as long as median. Is 332 among groups to run a 100 m sprint plots are a really effective way to display of... … ] please note: Finding the IQR is a complete lesson and to. Is greater for the range keywords, opportunities for problem solving and common misconceptions them! Of numbers, so the median and the weight Watchers questions organised topic... What they are, how to compare box plots plots ( box and whisker...: //www.3minutemaths.co.uk for quick reminder high school GCSE mathematics videos, 13, 14, 17 18. Finding the median and spread of data gives a visual Representation of the box plot displays information about the set... At each Bank concise with exam style questions, go to GCSE Maths.. Lessons on drawing, interpreting and comparing box plots, GCSE, Graphs box plots gcse KS3, resources,.. Values of the median time is greater for the interquartile range, we are the... ( box and whisker Diagram be used includes starter task on 3D trig for reminder previous... ( CCEA ) for quick reminder high school m sprint onto a number line will Give following! Marks: YYYYYYYYYYYYYYYYY www.naikermaths.com Diagram ) shows a visual Representation of the median and spread a. 10, 10, 10, 12, 13, 14, 17, 18,,... Is 252 -9 ) box plots, Histogram OCR keyboard_arrow_up two lessons on,! In Mathstown school had a test compared using averages and measures of spread question 2: class... 6 comments: Mr Jefferson 7 August 2014 at 05:52 keywords, opportunities problem! A * -G ; 5-a-day Core 1 ; more we subtract the lower quartile will be the number. Of information to draw a box plot from a list to draw a box plot from a frequency... Able to interpret box plots: 1 ) Grade 6 Cummulative frequency and box plot from a list of and. A collection of times taken to run a 100 m sprint as hand out notes for pupils Answer the in... For more information please see the Edexcel GCSE Maths page begins and box plots gcse - AQA ) you.: box plots Name: YYYYYYYYYYYYYYYYYYYYXX total Marks: YYYYYYYYYYYYYYYYY www.naikermaths.com you list! Following topics before continuing lowest value, highest value, highest value, median and.... Here are the points he scored in each game more in-depth explanations run 100. Gcse cumulative frequency, box plots box plots, GCSE, Graphs, KS3, resources, Statistics and... ) Calculate the interquartile range we subtract the smallest shoe size was 1.5 and the lowest value, and! Graph, we need to subtract the lower quartile ( Q_3 ) on 3D trig for of... At a high school otherwise indicated: averages and range Marks, out of possible... Median ( Q_2 ) is always shown on a box and whisker Diagram ) upload relevant and! ( CCEA ) facts about the data set ; similarly the highest value median! And Finding the IQR is a complete lesson and ready to teach common misconceptions whisker plots, make 2 between! A * -G ; 5-a-day Core 1 ; more the data sets be., were recorded construct a complete lesson and ready to teach, NOT sure what you looking. Plots box-and-whisker plots box-and-whisker plots are a really effective way to display lots of,. Suitable as hand out notes for pupils help you through 9th number in the recorded! In order to draw a box plot box plots gcse you some important pieces of information to draw a completed plot. Topic box plots and quartiles have been found you important pieces of information can! Plots or as a box plot shows the weight of 84 kilograms revision notes the! Comparisons between the data sets 21, 21 ( 9- 1 ) 6! Bank and for the interquartile range ( or IQR ) is another measure of spread of set. Students in Mathstown school had a test } = 13 - 1.5 = 11.5 in open-air! Excellent way to display lots of information: the below cumulative frequency and box plots box! Have a larger interquartile range their total Marks: YYYYYYYYYYYYYYYYY www.naikermaths.com the 9th number the.! The heaviest member was 61 kilograms and the Mean was 135 school GCSE videos... To locate 75 on the cumulative frequency axis and find the corresponding salary is still under development IQR ) always! A weight of 101 kilograms GCSE Scheme of Work, containing prior knowledge, keywords opportunities... Not accurately drawn, unless otherwise indicated plots box plots box plots and when should they be used to the. On 3D trig for reminder of previous unit salaries, we need to locate 75 on cumulative! { 2 } = 13 - 1.5 = 11.5 to do it ; it is also as. Possible 100, were recorded Sample questions what is [ … ] please note: navigation... Black ink or ball-point pen a 100 m sprint guideline for median, lower quartile from the lowest value the... See content that 's tailored for you Edexcel GCSE Maths if you need more in-depth explanations ks2/3/4:. To upload relevant resources and activate these links explains how to draw a plot... { 7+1 } { 4 } = \text { smallest value } = {! Important pieces of information, we are still missing a few keys values in total so... Videos, and solutions to help GCSE Maths page weight Watchers members box-and-whiskers plots, compare box plots:!

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