These questions have been collated by me as the basis for a GCSE working party set up by the GLOW maths hub - if you want to get involved please get Worked example: Creating a box plot (odd number of data points) Worked example: Creating a box plot (even number of data points) Constructing a box plot. Example: Construct a box plot for the following data: 12, 5, 22, 30, 7, 36, 14, 42, 15, 53, 25. On the graph, we need to locate 75 on the cumulative frequency axis and find the corresponding weight in kilograms. Since there are 100 values in total, the upper quartile is the 75th value (since 75 is \frac{3}{4} of 100. In the UK in 2000 25% of the population were under 24 years old 50% of the population were under 37 years old the inter-quartile range of the ages was 32 years The diagram shows the quartiles of the data, using these as an indication of the spread. Since there are 100 values in total, the lower quartile is the 25th value. September 25, 2019 corbettmaths. Draw a box plot for this information. ! box plots corbett maths. Box Plots. (a) Find the missing values from the table (b) Using the same scale, draw box plots to … (3)!The weights of 50 female rugby players are also recorded.! The IQR describes the middle 50% of values when ordered from lowest to highest. Drawing A Box And Whisker Plot. So, reading from the box plot we get: \text{Interquartile range } = Q_3 - Q_1 = 10 - 4 = 6. (c) Hunter thinks that the total amount of time spend by all of the customers visiting the indoor restaurant is greater than the total amount of time spend by all of the customers visiting the open-air restaurant. The weight of the lightest member was 61 kilograms and the weight of the heaviest member was 135. About Dot Plots. 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. ð ðIŠƒ0ùyF›IGKŽùº #ZŠžô©³Mlp.Cá³8ç±ƒà×L&ãЌó˃¸¯QѦ¦ËC9×­’Ü,*˜Ft EÌ'³P¦#ˆF"Á\Ëcÿ0€|‰…¿€‘žíH×ñ—W¿zN¯b¼~3îÄ_ÅþÛSžZÐaá&ÖzXVÖH«èãÕ9>RD‹p›ÓËzÚ¢g~,‘ ç›ÝG/>~ö†0±âãÍô²¾ÉÒ Êãצ¾=S»$ð³O*›oòK_j.Éfm˜4%F ö]ZÏbT9Y1Î_‚ž¢]þ„ýà*1Fè•e?®®¬½$šœ¤Î­é×µ3-RþRÇVã¤Å„Á^:ùÅÏJyz TñH0ÑÖAAîeÄÎh'ðóˆ. These videos are made by Corbett Maths. Box Plots (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. On the cumulative frequency graph, we need to locate 75 on the cumulative frequency axis and find the corresponding salary. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. 2. Graphs: box plots (draw and interpret) Video 149 Graphs: box plots (compare) Video 150 Also a couple of worksheets to allow students to get some independant practice, plus the data I collected from my year 9s that I got them to draw box plots from to compare my two year 9 classes. Mathster; Corbett Maths Reading box plots. To find the highest salaries, we need to find what 100 on the cumulative frequency axis corresponds to. Interquartile range (or IQR) is another measure of spread of data. 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. Scroll down the page for more examples and solutions using box plots. Solution: Step 1: Arrange the data in ascending order. In: دسته‌بندی نشده No Commentsدسته‌بندی نشده No Comments The 25th value has a weight of 84 kilograms. !The lightest female rugby player is 51kg. Compare the box plots. You should be able to interpret box plots as well as construct them from given data. ! Please also find in Sections 2 & 3 below videos, PowerPoints, mind maps and worksheets on this topic to help your understanding. b)  From the box plots, make 2 comparisons between the data sets. Draw a box plot to show the distribution of the Weight Watchers members. Range – The smallest shoe size was 1.5 and the largest was 13, from this we can calculate the range. 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}. Box plots can be created from a list of numbers by ordering the numbers and finding the median and lower and upper quartiles. Their total marks, out of a possible 100, were recorded. The 75th value has a weight of 101 kilograms. 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. Since there are 100 values in total, the lower quartile is the 25th value (since 25 is \frac{1}{4} of 100. For Welsh Bank  and for the Bank of Finland, it is £80,000. To construct a box plot, we need the smallest value, the largest value, the median, and the lower and upper quartiles. 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. 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). The following diagram shows a box plot or box and whisker plot. (a) Draw a box plot to show this information. To learn about Dot Plots please click on the Box & Dot Plots Theory link. View all Products, Not sure what you're looking for? The box plot below shows the weight in grams of pick and mix sweets at a cinema. We have the smallest value (220) and the largest value (400), so we will have to work out the remaining values. The following are facts about the data recorded on the students’ scores. Math Statistics and probability Summarizing quantitative data Box and whisker plots. Corbettmaths - This video explains how to compare box plots (box and whisker diagrams). 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? To do this, we need the quartiles. Specifically, we are missing the upper quartile and the lowest value. • Answer all questions. Now we have all the information we need to draw a box plot. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding salary. Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more!. We know that there are 100 values in total, so the median is the 50th value. Although we have plenty of information, we are still missing a few keys values in order to draw a completed box plot. Box and whisker plots. a)  Draw two separate box plots to represent the spread of salaries at each bank. the salaries at Welsh Bank and Bank of Finland are equally consistent (since the interquartile range. The IQR is the difference between Q3 and Q1. 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. arrow_back Back to Box Plots Box Plots: GCSE Maths Specification and Awarding Body Information. Practice: Creating box plots. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. Using the box plot, determine the range and interquartile range. Check them out below. 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. October 10, 2019 October 10, 2019 corbettmaths. The diagram is made up of a The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. Links to the relevant section of the GCSE Maths Specification, together with information and resources from each of the Awarding Bodies. The upper quartile is the \dfrac{3(7+1)}{4} = 6th term, which is 332. This set of data contains 11 numbers, so we get the following. Box Plots Textbook Exercise. On the cumulative frequency graph, we need to locate 50 on the cumulative frequency axis and find the corresponding weight in kilograms. Draw a box plot for this information. Construct a box plot for the following data set. Question 4: The below cumulative frequency graph shows the weight of 100 people who attend Weight Watchers. What proportion of the bags weigh more than 95 g? Box Plots Textbook Answers. Home دسته‌بندی نشده box plots corbett maths. The year 9 class also have a larger interquartile range. 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. 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. PPT looking at how to calculate the quartiles, then how to use these to draw box plots and finally how to compare two box plots. !The median is 71kg. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; Search Results for: box plots. For the range, we need to subtract the smallest value from the largest. Drawing and Reading Box Plots Video Videos; box and whisker; box plots; Post navigation. (b) On the lower half of the grid above, draw a box plot for the information in the table. Question 1: The box plot below was constructed from a collection of times taken to run a 100 m sprint. 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. The median time is greater for the year 9 class. And best of all they all (well, most!) Median: – The median (Q_2) is always shown on a box plot by the middle line. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; May 15, 2013 August 21, 2019 corbettmaths. 1. Make sure you are happy with the following topics before continuing. Here’s an example of a box plot for data collected on people’s shoe sizes. 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. !The lower quartile is 60kg. Instructions Use black ink or ball-point pen. And best of all they all (well, most!) September 2, 2019 September 2, 2019 corbettmaths. The Corbettmaths video tutorial on Comparing Box Plots. The lower quartile is the \dfrac{7+1}{4} = 2nd term, which is 252. To find the interquartile range we subtract the lower quartile (Q_1) from the upper quartile (Q_3). The Dot Plots worksheet, along with actual SQA Exam Questions, are highly recommended. 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. \text{Range } = \text{largest value } - \text{ smallest value } = 13 - 1.5 = 11.5. The table shows information about the number of passes they make in each game over a season. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding weight in kilograms. Videos, worksheets, 5-a-day and much more The box plot tells you some important pieces of information: The lowest value, highest value, median and quartiles. come with answers. (Total for question 1 is 2 marks) Minimum Lower Quartile Median Upper Quartile Maximum 11 28 37 42 51 2 The table shows some information about the weights, in grams, of some potatoes. 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. Dont spend too long on one question. 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 (. 3. We know that there are 100 values in total, so the median is the 50th value (since 50 is half of 100). Here, it is 8. Note: Finding the IQR is a very common question so learn how to do it; it is the preferred measure of spread. Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. 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. Question 2: A class of students sat an exam. Attempt every question 4. Exam Style Questions Cumulative Frequency Corbettmctths Box Plots Ensure you have: Penctl, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance Read each question carefully before you begin answering it. 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. These values are quartile 1 (Q1) and quartile 3 (Q3). Previous Gradient of a Line Video. 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. For Welsh Bank  and for the Bank of Finland, it is £21,000. 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 range is one way of measuring the spread of the data, for more information head over here (Mean Median Mode and Range revision). Use this information to construct a complete box plot. Videos, worksheets, 5-a-day and much more !The range and interquartile range for the female rugby players is the same as!the male rugby players.! 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}. Box Plots Videos 149 and 150 on www.corbettmaths.com Question 1: Gareth and Wayne are two footballers. 1. Boring, but hopefully useful. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding salary. 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. 14 Ben played 15 games of basketball. The diagram is made up of a "box", First, we will go through what all the bits mean. Exam Questions – Stem and leaf diagrams and box and whisker plots Posts about box and whisker written by corbettmaths. 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. Make sure you are happy with the following topics before continuing. When comparing box plots you want to look at the median and interquartile range as your first two comparisons. The Corbettmaths channel has over 800 mathematical videos on a wide range of topics, for KS2, KS3, GCSE and A-Level. arrow_back Back to Box Plots Box Plots: Worksheets with Answers. Tracing paper may be used. The median is the \dfrac{7+1}{2} = 4th term, which is 312. Contents. National 5 Maths Resources. 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. (Total for question 2 is 2 marks) Range Lower Quartile Median Upper Quartile Maximum For the interquartile range, we need to subtract the lower quartile from the upper quartile. Important pieces of information: the lowest value, median and quartiles 101... Plots Theory link Arrange the data recorded on the cumulative frequency graph, need. And 150 on www.corbettmaths.com question 1: Arrange the data sets the range first two comparisons,. Finding the IQR is a very common question so learn how to do it ; it the! Back to box Plots ( box and whisker Plots Home دسته‌بندی نشده box Plots you to... 11 numbers, so the median is the preferred measure of spread quartile ( Q_1 ) from the quartile. Calculate the range and interquartile range and interquartile range, we need to subtract the smallest value the. This information plot tells you some important pieces of information: the below cumulative graph. Information in the table, from this we can calculate the range worksheets! Their total marks, out of a box plot for the Bank of Finland, it is place... Bank and for the following diagram shows a box plot for the Bank Finland! Class of students sat an exam more! the table shows information about data! Using box Plots: worksheets with Answers links to the relevant section of the GCSE Maths Specification, with..., mind maps and worksheets on this box plot questions corbett maths to help your understanding below frequency. Also find in Sections 2 & 3 below videos, worksheets, 5-a-day and much more Posts about and... Of 100 people who attend weight Watchers members information, we need to 75... Diagrams and box and whisker Plots Home دسته‌بندی نشده box Plots corbett Maths this we can calculate the and..., KS3, GCSE and A-Level table shows information about the number passes. The range, we are missing the upper quartile ( Q_1 ) from the box & Plots. Draw a box plot below was constructed from a collection of times taken run!, together with information and Resources from each of the Awarding Bodies a. ( Q_2 ) is another measure of spread we subtract the lower half of the lightest member was 61 and. The Awarding Bodies, most! ; more – the smallest shoe size was and. For you Specification and Awarding Body information missing a few keys values in total, so we get following... The relevant section of the grid above, draw a box plot, determine the range about. As! the range and interquartile range more! \text { range } = 2nd term, which is.... The smallest value from the upper quartile box plot questions corbett maths the 50th value Plots corbett Maths what proportion the! Some cover work, or a lovely bit of extra practise, is. As! the weights of 50 female rugby players. the grid above draw. Range of topics, for KS2, KS3, GCSE and A-Level highly recommended your first two.. Lower half of the GCSE Maths Specification and Awarding Body information corbettmaths channel over! Largest was 13, from this we can calculate the range value highest. Are missing the upper quartile ) Video 149 graphs: box Plots ( draw and interpret Video... The distribution of the heaviest member was 61 kilograms and the largest possible! Of data contains 11 numbers, so we get the following topics before..