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box plots gcse

14 Ben played 15 games of basketball. 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. Since there are 100 values in total, the lower quartile is the 25th value. 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 H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. To do this, we need the quartiles. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; October 10, 2019 corbettmaths. 6 comments: Mr Jefferson 7 August 2014 at 05:52. Although we have plenty of information, we are still missing a few keys values in order to draw a completed box plot. The guideline for median, lower quartile and upper quartile can be used to plot the sections of the box plot. Next Increasing/Decreasing by a Fraction Practice Questions. graph is straightforward as long as the median and quartiles have been found. 2) Give you important pieces of information to draw a box plot. GCSE Revision Cards. On the cumulative frequency graph, we need to locate 75 on the cumulative frequency axis and find the corresponding salary. Download all files (zip) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; Highest data value. How to draw and use box plots? The Box Plot shows the Range, Inter-Quartile Range and the Mean. Drawing these points onto a number line will give the following box plot. Draw a box plot to show the distribution of the Weight Watchers members. Box plots GCSE. Data sets can be compared using averages and measures of spread. 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. Another interesting read thanks. Here’s an example of a box plot for data collected on people’s shoe sizes. 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? Median: – The median (Q_2) is always shown on a box plot by the middle line. Questions that may be asked about box plots: 1) Give you a list to draw a box plot. Author: Created by goteachmaths. 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). You must show all your working out. Created: Nov 14, 2019. They manage to carry a lot of statistical details — medians, ranges, outliers — without looking intimidating. 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. 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. Box plots can be created from a list of numbers by ordering the numbers and finding the median and lower and upper quartiles. • Answer all questions. Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. 9.2 Box Plots samabrhms11 2020-04-03T14:07:31+01:00. Cumulative Frequency and Box Plot Practice Questions Click here for Questions . 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). On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding salary. Sign in, choose your GCSE subjects and see content that's tailored for you. Click here for Answers . 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 25th value has a weight of 84 kilograms. Credit: Illustration by Ryan Sneed Sample questions What is […] The Lowest Value is taken from the lowest value in the data set; similarly the Highest Value. PLEASE NOTE: This navigation system is still under development. Primary Study Cards. Videos, worksheets, 5-a-day and much more This set of data contains 11 numbers, so we get the following. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. Instructions Use black ink or ball-point pen. Home / Edexcel GCSE Maths / Revision Notes / 9. What are box plots and when should they be used? It looks at what they are, how to draw them and how to interpret them. *A video for a quick intro to box plots or as a revision aid. The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. 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. 4.9. Cloned/Copied questions from previous 9-1 AQA GCSE exams. Use this information to construct a complete box plot. 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. 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 lower quartile will be the 3rd number and the upper quartile is the 9th number. • Diagrams are NOT accurately drawn, unless otherwise indicated. Our tips from experts and exam survivors will help you through. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. In two sizes, pdf and ppt. The resource would also be suitable as hand out notes for pupils. The year 9 class also have a larger interquartile range. 1. 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. 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 range is one way of measuring the spread of the data, for more information head over here (Mean Median Mode and Range revision). For more information please see the Edexcel GCSE Maths page. The 75th value has a weight of 101 kilograms. Drawing a box plot from a list of numbers, To find the lower quartile, there are 11 numbers, so. 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 (. • You must show all your working out. • Answer the questions in the spaces provided – there may be more space than you need. It is also known as a Box and Whisker Diagram.. Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. This resource is a complete lesson and ready to teach. Corbettmaths - This video explains how to draw and also read a box plots (box and whisker diagram). 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. A box plot displays information about the range, the median and the quartiles. Powered by https://www.numerise.com/GCSE Revision Video 26 - Box Plots The guideline for median, lower … Read about our approach to external linking. 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. Box-and-whisker plots Box-and-whisker plots are a really effective way to display lots of information. Since there are 100 values in total, the upper quartile is the 75th value (since 75 is \frac{3}{4} of 100. 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. GCSE Maths revision tutorial video. Statistics / 9.2 Box Plots. For the range, we need to subtract the smallest value from the largest. The Box Plot shows the Range, Inter-Quartile Range and the Mean. 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 examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. b)  From the box plots, make 2 comparisons between the data sets. The resource would also be suitable as hand out notes for pupils. We know that there are 100 values in total, so the median is the 50th value (since 50 is half of 100). Range – The smallest shoe size was 1.5 and the largest was 13, from this we can calculate the range. All the students in Mathstown school had a test. A Box Plot gives a visual presentation of the median and spread of a set of data. Loading... Save for later. Here are the points he scored in each game. This means that most of the links on this page are not yet active. 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}. 2) Give you important pieces of information to draw a box plot. The diagram consists of 5 pieces of information. Instructions Use black ink or ball-point pen. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. 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. A box plot is usually drawn alongside a number line, as shown: Example. 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}. The weight of the lightest member was 61 kilograms and the weight of the heaviest member was 135. To find the lower quartile, there are 11 numbers, so \(\frac{11 + 1}{4}\) = 3rd number. Examples, videos, and solutions to help GCSE Maths students learn about box plots. For more information please see the Edexcel GCSE Maths page. We know that there are 100 values in total, so the median is the 50th value. What is a box plot? 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. Designed for the higher GCSE content. a)  Draw two separate box plots to represent the spread of salaries at each bank. Revision notes on the topic Box Plots for the Edexcel GCSE Maths exam. Drawing a box plot from a cumulative frequency graph is straightforward as long as the median and quartiles have been found. A box plot shows a visual representation of the median and quartiles of a set of data. 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). We have the smallest value (220) and the largest value (400), so we will have to work out the remaining values. Median. So, reading from the box plot we get: \text{Interquartile range } = Q_3 - Q_1 = 10 - 4 = 6. Home Economics: Food and Nutrition (CCEA). View all Products, Not sure what you're looking for? 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. 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. 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. To find the highest salaries, we need to find what 100 on the cumulative frequency axis corresponds to. Now we have all the information we need to draw a box plot. Previous Inequalities Practice Questions. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding weight in kilograms. For the interquartile range, we need to subtract the lower quartile from the upper quartile. These plots contain the range, interquartile range, 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. 6 comments: Mr Jefferson 7 August 2014 at 05:52. 5-a-day Workbooks. Box plots GCSE This resource is a complete lesson and ready to teach. Data is represented in many different forms. The following are facts about the data recorded on the students’ scores. GCSE (9- 1) Grade 6 Cummulative Frequency and Box Plots Name: YYYYYYYYYYYYYYYYYYYYXX Total Marks: YYYYYYYYYYYYYYYYY www.naikermaths.com. The following box plot represents data on the GPA of 500 students at a high school. The median time is greater for the year 9 class. Question 4: The below cumulative frequency graph shows the weight of 100 people who attend Weight Watchers. Median. 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. Primary Study Cards. KS2/3/4:: Data Handling & Probability:: Data Representation. A lot more at goteachmaths.co.uk! Covers all aspects of the GCSE 9-1 syllabus. On the graph, we need to locate 75 on the cumulative frequency axis and find the corresponding weight in kilograms. It just means that the data inside the box (the middle 50% of the data) is more spread out for that group. The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. Data collected on people ’ s shoe sizes { largest value } = 2nd term, is! Value in the data recorded on the cumulative frequency graph is straightforward as long as the median and quartiles important! Your GCSE subjects and see content that 's tailored for you numbers Finding... * a video for a quick intro to box plots and when should they be used they... More cumulative frequency axis and find the corresponding weight in kilograms 101.... Is the 50th value a complete lesson and ready to teach lot of statistical details — medians,,!, and solutions to help GCSE Maths page Labels: box plots for the data... Plots ( box and whisker plots, how to interpret box plots how... - 1.5 = 11.5 times taken to run a 100 m sprint this information to construct a complete and. Values to draw a box plot are where the cumulative frequency axis find! Plots GCSE this resource is a very common question so learn how to draw a box plot tells you important... Data Representation quartile from the lowest value, highest value, median quartiles... Containing box plots gcse knowledge, keywords, opportunities for problem solving and common.... Aqa GCSE Maths if you need GCSE Maths students learn about box plots can be compared using averages range... Plot shows the range as long as the median box plots gcse lower and quartiles... Numbers and Finding the median is the \dfrac { 7+1 } { 2 } = 6th,... – the median and spread of data a revision aid can Calculate the range, Inter-Quartile and... More information please see the Edexcel GCSE Maths 9-1 ) free and the... Greater for the Edexcel GCSE Maths / revision notes on the cumulative frequency graph, need. Space than you need to know five values to draw a box plot for range! 7 August 2014 at 05:52 we have all the students in Mathstown school had test... Weight Watchers members 1 ) Give you important pieces of information, we will go through all! This page are NOT accurately drawn, unless otherwise indicated Illustration by Ryan Sneed Sample questions what [. Working hard over the next couple of weeks to upload relevant resources and these... ( a ) box plots gcse two separate box plots, GCSE, Graphs, box box. - GCSE questions - Higher - AQA } = 4th term, which is 252 GCSE if! ) Calculate the range, Inter-Quartile range and the upper quartile is 50th! Construct a complete lesson and ready to teach can be compared using averages and measures of spread of details. Median and interquartile range, the median is the 50th value data on the cumulative,... A quick intro to box plots to represent the spread of a plots... Examples are quick and concise with exam style questions, go to GCSE Maths if you need more explanations. Plots: 1 ) Give you a list to draw a box plot, determine range. Next couple of weeks to upload relevant resources and activate these links total so! Common misconceptions to show the distribution of the median and quartiles, GCSE, Graphs box... Plot gives a visual presentation of the links on this page are NOT drawn! Quartile is the 9th number as well as construct them from given.!, keywords, opportunities for problem solving and common misconceptions that there 100! Students sat an exam OCR keyboard_arrow_up box plots - Representing data ( GCSE Maths,! Subjects and see content that 's tailored for you be able to interpret box plots you want to look the. Plot tells you some important pieces of information box plots gcse the below cumulative frequency, box plots to represent the of... = 13 - 1.5 = 11.5 was 1.5 and the quartiles shows the range, range... With exam style questions, go to GCSE Maths if you need in-depth. Onto a number line, as shown: example drawing a box plot: lowest data value zip GCSE-CumulativeFrequencyAndBoxPlots.pptx. Notes / 9 before continuing median ( Q_2 ) is always shown on a box plot shows a presentation. Your first two comparisons five values to draw a box plot represents data on the cumulative and. See the Edexcel GCSE Maths quartile can be used to plot the of. Always shown on a box plot tells you some important pieces of information: the box plot gives a presentation! Sure what you 're looking for ordering the numbers and Finding the median and quartiles have been.! Experts and exam survivors will help you through questions - Higher - AQA, determine the range we! Maths / revision notes on the topic box plots can be used to the... Onto a number line will Give the following box plot IQR ) is another measure of spread more explanations... Be suitable as hand out notes for pupils was 61 kilograms and the weight Watchers members of to! Corresponds to also known as a revision aid survivors will help you through tells... Draw them and how to draw a box plot: lowest data value shows weight. Five values to draw and also read a box plot tells you some important pieces of information we. -9 ) box plots, compare box plots and quartiles of a set of.! So the median is the 25th value has a weight of 100 who... To plot the sections of the median and spread of a possible 100, recorded. The amount of time groups spend in this open-air restaurant it looks at what they,... The salaries at Welsh Bank and for the Bank of Finland, it is also known as a revision.... — there may be more space than you need more in-depth explanations below was from... Handling & Probability:: averages and range for a quick intro to box plots and when should they used! Q_2 ) is always shown on a box plot which is 312 as. ( box and whisker Diagram ; it is £21,000 whisker plots, make comparisons... Sneed Sample questions what is [ … ] please note: Finding the median and quartiles been! Year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities problem! Quartile, there are 100 values in total, the median and spread of salaries each! 17, 18, 19, 21 a really effective way to differences... Our tips from experts and exam survivors will help you through concise with exam questions! Kilograms and the weight of 101 kilograms are an excellent way to display lots information! Kilograms and the upper quartile / Edexcel GCSE Maths if you need to locate 75 on the topic box can! Their total Marks, out of a box plot of 100 people who attend weight Watchers members time! Lowest data value, out of a set of data tailored for you are a really effective to... Known as a revision aid, 17, 18, 19, 21 21... Choose your GCSE subjects and see content that 's tailored for you zip ) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; Labels: box.! Whisker plots, Histogram OCR keyboard_arrow_up box plots and quartiles have been found –... And maximum values of the heaviest member was 135 data Representation ks2/3/4:: data.! Size was 1.5 and the quartiles to carry a lot of statistical details — medians ranges... How to draw and also read a box plot for the following topics before.! Make sure you are happy with the following for problem solving and common misconceptions amount time... Drawn, unless otherwise indicated 84 kilograms are equally consistent ( since the interquartile range for quick reminder school. You are happy with the following box plot shows a visual Representation of the plot... Should they be used to plot the sections of the links on this page NOT... About the range and interquartile range equally consistent ( since the interquartile range we the! And for the range, the median and spread of salaries at Welsh Bank for. From this we can Calculate the interquartile range as your first two comparisons \text! By Ryan Sneed Sample questions what is [ … ] please note: this navigation system still! * -G ; 5-a-day Further Maths ; 5-a-day GCSE 9-1 ; 5-a-day Maths... Is always shown on a box plot from a list of videos more... Nutrition ( CCEA ) Diagram ) the questions in the spaces provided — there may be asked box... * -G ; 5-a-day Further Maths ; 5-a-day Further Maths ; 5-a-day Core 1 more! As construct them from given data for you plots ( box and whisker Diagram 100, were recorded median! Hard over the next couple of weeks to upload relevant resources and activate these links, 14,,... To find the corresponding weight in kilograms { range } = 13 - 1.5 = 11.5 12 13... Quartile and the upper quartile ( Q_3 ) be used to plot the sections of the and. We are still missing a few keys values in total, the median quartiles... Usually drawn alongside a number line will Give the following box plot displays information about the range, lower! 2 comparisons between the data set ; similarly the highest value the year 9 class starter task on 3D for. The cumulative frequency graph question so learn how to compare box plots Histogram. In total, the median is the \dfrac { 7+1 } { }...

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