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. We have the smallest value (220) and the largest value (400), so we will have to work out the remaining values. graph is straightforward as long as the median and quartiles have been found. How to draw and use box plots? For more information please see the Edexcel GCSE Maths page. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations. A box plot shows a visual representation of the median and quartiles of a set of data. GCSE Maths revision tutorial video. Just because one box plot has a longer box than another one doesn’t mean it has more data in it. 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 (. Now we have all the information we need to draw a box plot. A box plot is usually drawn alongside a number line, as shown: Example. Question 4: The below cumulative frequency graph shows the weight of 100 people who attend Weight Watchers. Box Plots - GCSE Questions - Higher - AQA. 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}. The minimum and maximum values of the box plot are where the cumulative frequency begins and ends. 14 Ben played 15 games of basketball. On the cumulative frequency graph, we need to locate 25 on the cumulative frequency axis and find the corresponding salary. 6 comments: Mr Jefferson 7 August 2014 at 05:52. Questions that may be asked about box plots: 1) Give you a list to draw a box plot. Includes starter task on 3D trig for reminder of previous unit. Drawing these points onto a number line will give the following box plot. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up To find the lower quartile, there are 11 numbers, so \(\frac{11 + 1}{4}\) = 3rd number. To find the highest salaries, we need to find what 100 on the cumulative frequency axis corresponds to. Since there are 100 values in total, the lower quartile is the 25th value. 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. The guideline for median, lower … PLEASE NOTE: This navigation system is still under development. The resource would also be suitable as hand out notes for pupils. Their total marks, out of a possible 100, were recorded. In two sizes, pdf and ppt. Cumulative Frequency and Box Plot Practice Questions Click here for Questions . 5-a-day Workbooks. Primary Study Cards. You need to know five values to draw a box plot: Lowest data value. 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. Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. Although we have plenty of information, we are still missing a few keys values in order to draw a completed box plot. 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. The lowest mark was 18 The highest mark was 86 The median was 57 The lower quartile was 32 Examples, videos, and solutions to help GCSE Maths students learn about box plots. 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. Box Plots Post navigation. Answer the questions in the spaces provided — there may be more space than you need. When comparing box plots you want to look at the median and interquartile range as your first two comparisons. This resource is a complete lesson and ready to teach. The weight of the lightest member was 61 kilograms and the weight of the heaviest member was 135. KS2/3/4:: Data Handling & Probability:: Averages and Range. Practice Questions; Post navigation. GCSE Revision Cards. 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 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. Cumulative Frequency and Box Plots - Representing Data (GCSE Maths 9-1) free. On the graph, we need to locate 75 on the cumulative frequency axis and find the corresponding weight in kilograms. 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. 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. 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. The lower quartile will be the 3rd number and the upper quartile is the 9th number. 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