box plots gcse

Since there are 100 values in total, the upper quartile is the 75th value (since 75 is \frac{3}{4} of 100. Drawing a box plot from a cumulative frequency graph is straightforward as long as the median and quartiles have been found. Instructions Use black ink or ball-point pen. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. 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. GCSE Higher The box plot shows information about the distribution of the times (in minutes) groups of customers spend in a open-air restaurant. Lower quartile. Two lessons on drawing, interpreting and comparing box plots. Since there are 100 values in total, the lower quartile is the 25th value. 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. 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. 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. Instructions Use black ink or ball-point pen. A Great Lesson Plan with resources to teach or revise GCSE Box Plots. Download all files (zip) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; 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. Statistics / 9.2 Box Plots. It looks at what they are, how to draw them and how to interpret them. The oldest person in Mathsminster is 90. Tracing paper may be used. a)  Draw two separate box plots to represent the spread of salaries at each bank. Specifically, we are missing the upper quartile and the lowest value. For the interquartile range, we need to subtract the lower quartile from the upper quartile. To do this, we need the quartiles. A box plot is usually drawn alongside a number line, as shown: Example. Construct a box plot for the following data set. 1. The resource would also be suitable as hand out notes for pupils. box and whisker plots, compare box plots, how to compare box plots, modified box plots Box plots, a.k.a. Preview. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. 14 Ben played 15 games of basketball. Cumulative Frequency and Box Plot Practice Questions Click here for Questions . You must show all your working out. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding salary. The Corbettmaths Textbook Exercise on Box Plots. b)  From the box plots, make 2 comparisons between the data sets. The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. Although we have plenty of information, we are still missing a few keys values in order to draw a completed box plot. GCSE Maths revision tutorial video. Practice Questions; Post navigation. It is also known as a Box and Whisker Diagram.. 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. To find the interquartile range we subtract the lower quartile (Q_1) from the upper quartile (Q_3). Credit: Illustration by Ryan Sneed Sample questions What is […] For Welsh Bank  and for the Bank of Finland, it is £21,000. 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). Covers all aspects of the GCSE 9-1 syllabus. A Box Plot gives a visual presentation of the median and spread of a set of data. The diagram consists of 5 pieces of information. A box plot shows a visual representation of the median and quartiles of a set of data. 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. 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. Read more. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. The following box plot represents data on the GPA of 500 students at a high school. Cloned/Copied questions from previous 9-1 AQA GCSE exams. This means that most of the links on this page are not yet active. GCSE Revision Cards. Designed for the higher GCSE content. 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 Model answers & video solution for Box Plots. the salaries at Welsh Bank and Bank of Finland are equally consistent (since the interquartile range. The lowest mark was 18 The highest mark was 86 The median was 57 The lower quartile was 32 The following box plot represents data on the GPA of 500 students at a high school. When comparing box plots you want to look at the median and interquartile range as your first two comparisons. We have the smallest value (220) and the largest value (400), so we will have to work out the remaining values. Free. We know that there are 100 values in total, so the median is the 50th value. The lower quartile is the \dfrac{7+1}{4} = 2nd term, which is 252. These plots contain the range, interquartile range, median, lower … This set of data contains 11 numbers, so we get the following. 5-a-day Workbooks. For the range, we need to subtract the smallest value from the largest. Box plots GCSE. Tracing paper may be used. For the full list of videos and more revision resources visit www.mathsgenie.co.uk. 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. Here are the points he scored in each game. Box plots are a huge issue. The median time is greater for the year 9 class. 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). Loading... Save for later. The youngest person is 15. Median. You need to know five values to draw a box plot: Lowest data value. GCSE (1 -9) Box Plots Instructions Use black ink or ball-point pen. How to draw and use box plots? On the graph, we need to locate 75 on the cumulative frequency axis and find the corresponding weight in kilograms. Upper quartile. Here’s an example of a box plot for data collected on people’s shoe sizes. A box plot displays information about the range, the median and the quartiles. 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. 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. = 3rd number. Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. What is a box plot? The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. Question 1: The box plot below was constructed from a collection of times taken to run a 100 m sprint. Make sure you are happy with the following topics before continuing. box-and-whiskers plots, are an excellent way to visualize differences among groups. Median. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. Diagrams are NOT accurately drawn, unless otherwise indicated. PLEASE NOTE: This navigation system is still under development. 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 guideline for median, lower … 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. Question 2: A class of students sat an exam. View all Products, Not sure what you're looking for? 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. Highest data value. Using the box plot, determine the range and interquartile range. The minimum and maximum values of the box plot are where the cumulative frequency begins and ends. 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. Drawing a box plot from a cumulative frequency graph. 5-a-day Workbooks. The year 9 class also have a larger interquartile range. Now we have all the information we need to draw a box plot. Since there are 100 values in total, the lower quartile is the 25th value (since 25 is \frac{1}{4} of 100. Note: Finding the IQR is a very common question so learn how to do it; it is the preferred measure of spread. graph is straightforward as long as the median and quartiles have been found. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding weight in kilograms. Questions that may be asked about box plots: 1) Give you a list to draw a box plot. Drawing a box plot from a list of numbers, To find the lower quartile, there are 11 numbers, so. • You must show all your working out. Corbettmaths - This video explains how to draw and also read a box plots (box and whisker diagram). Sneed Sample questions what is [ … ] please note: this system! A box plot: lowest data value by topic and difficulty for AQA GCSE Maths learn... } - \text { smallest value } = 4th term, which is 312 gives visual! The examples are quick and concise with exam style questions, go to GCSE Maths if you need more explanations... 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