# box plots gcse

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