Data is represented in many different forms. The diagram consists of 5 pieces of information. 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. The lowest mark was 18 The highest mark was 86 The median was 57 The lower quartile was 32 • You must show all your working out. We have the smallest value (220) and the largest value (400), so we will have to work out the remaining values. Cumulative Frequency and Box Plot Practice Questions Click here for Questions . It looks at what they are, how to draw them and how to interpret them. Make sure you are happy with the following topics before continuing. 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? The following box plot represents data on the GPA of 500 students at a high school. 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. How to draw and use box plots? Tracing paper may be used. Search for: Contact us. a) Draw two separate box plots to represent the spread of salaries at each bank. Labels: Box Plots, GCSE, Graphs, KS3, Resources, Statistics. Since there are 100 values in total, the lower quartile is the 25th value. What is a box plot? The year 9 class also have a larger interquartile range. 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. Examples, videos, and solutions to help GCSE Maths students learn about box plots. For the range, we need to subtract the smallest value from the largest. The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. • Answer the questions in the spaces provided – there may be more space than you need. The following are facts about the data recorded on the students’ scores. 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. You must show all your working out. The lower quartile is the \dfrac{7+1}{4} = 2nd term, which is 252. A Great Lesson Plan with resources to teach or revise GCSE Box Plots. Here’s an example of a box plot for data collected on people’s shoe sizes. Box Plots Post navigation. We know that there are 100 values in total, so the median is the 50th value. A box plot displays information about the range, the median and the quartiles. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. You need to know five values to draw a box plot: Lowest data value. 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. The range is one way of measuring the spread of the data, for more information head over here (Mean Median Mode and Range revision). Upper quartile. Information The marks for each question are shown in brackets 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. Loading... Save for later. 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 It is also known as a Box and Whisker Diagram.. Diagrams are NOT accurately drawn, unless otherwise indicated. Instructions Use black ink or ball-point pen. Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. All the students in Mathstown school had a test. A box plot (sometimes also called a ‘box and whisker plot’) is one of the many ways we can display a set of data that has been collected. Box plots are a huge issue. A Box Plot gives a visual presentation of the median and spread of a set of data. Lower quartile. Model answers & video solution for Box Plots. Powered by https://www.numerise.com/GCSE Revision Video 26 - Box Plots So, reading from the box plot we get: \text{Interquartile range } = Q_3 - Q_1 = 10 - 4 = 6. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. 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. Author: Created by goteachmaths. Tracing paper may be used. It just means that the data inside the box (the middle 50% of the data) is more spread out for that group. For the interquartile range, we need to subtract the lower quartile from the upper quartile. 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. A lot more at goteachmaths.co.uk! 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. Box Plots - GCSE Questions - Higher - AQA. The Box Plot shows the Range, Inter-Quartile Range and the Mean. Specifically, we are missing the upper quartile and the lowest value. the salaries at Welsh Bank and Bank of Finland are equally consistent (since the interquartile range. 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 Revision Cards. Question 4: The below cumulative frequency graph shows the weight of 100 people who attend Weight Watchers. 6 comments: Mr Jefferson 7 August 2014 at 05:52. Two lessons on drawing, interpreting and comparing box plots. Credit: Illustration by Ryan Sneed Sample questions What is […] Median. Read more. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. GCSE (1 – 9) Box Plots Name: _____ Instructions • Use black ink or ball-point pen. The resource would also be suitable as hand out notes for pupils. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; October 10, 2019 corbettmaths. • Diagrams are NOT accurately drawn, unless otherwise indicated. To find the lower quartile, there are 11 numbers, so \(\frac{11 + 1}{4}\) = 3rd number. Note: Finding the IQR is a very common question so learn how to do it; it is the preferred measure of spread. GCSE Revision Cards. 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. Since there are 100 values in total, the upper quartile is the 75th value (since 75 is \frac{3}{4} of 100. For the full list of videos and more revision resources visit www.mathsgenie.co.uk. Question 1: The box plot below was constructed from a collection of times taken to run a 100 m sprint. 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}. A Box Plot gives a visual presentation of the median and spread of a set of data. 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). Includes starter task on 3D trig for reminder of previous unit. This means that most of the links on this page are not yet active. In two sizes, pdf and ppt. Drawing a box plot from a list of numbers, To find the lower quartile, there are 11 numbers, so. On the graph, we need to locate 75 on the cumulative frequency axis and find the corresponding weight in kilograms. Primary Study Cards. 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}. 1. How to draw and use box plots? Make sure you are happy with the following topics before continuing. 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. The resource would also be suitable as hand out notes for pupils. Question 2: A class of students sat an exam. Answer all questions. Practice Questions; Post navigation. Instructions Use black ink or ball-point pen. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding salary. Most of the box plot opportunities for problem solving and common misconceptions box plots gcse... Question 2: a class of students sat an exam ( 1 -9 ) box you... 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