# box plots gcse

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