!had a minimum salary of £16,000! gcse questions. Covers all aspects of the GCSE 9-1 syllabus. And best of all they all (well, most!) +���ƀqM.G�)C]]���X0 (d) The data in L2 and L3 are similar to the data in L1 but they are in a frequency format. You will need to be able to work out the cumulative frequency as well as use this to plot a cumulative frequency graph. After plotting our first point of (0,0), the next point is (1,23); the key thing to remember is that since the snake length data is grouped, we need to plot the highest value in each length band (so for the 0 metres – 1 metre band, we would plot the corresponding cumulative frequency total against 1 metre). Once we have plotted all the points, we need to join them together with a smooth line, with an end result similar to the below: b) The interquartile range is calculated by subtracting the lower quartile from the upper quartile. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Question 2: Shown below is a cumulative frequency graph showing the number of hours per week people spent exercising. Find the upper and lower quartiles. The Corbettmaths Videos on Drawing Cumulative Frequency Graphs and also Reading Cumulative Frequency Graphs Corbettmaths Videos, worksheets, 5-a … If we go up the y-axis and locate the 36th value, go across to the line and then down, we can see that is corresponds to a value of 3.2 hours. Find the median values. b) Using the data from your table, plot a cumulative frequency graph on the axes below. Therefore the remaining cars must have a value which is greater than £17,500. Because of the word ‘than’, it is the length of the snakes at Bob Exotic’s Snake Sanctuary that we should consider as the ‘original’ value. Find the inter-quartile range, how to draw a cumulative frequency curve for grouped data, How to find median and quartiles from the cumulative frequency diagram, with video lessons, examples and step-by-step solutions. Corbettmaths - This video is on relative frequency / experimental probability. �PM�c����:�m��H�\��on����Ff1��> Since there are 48 cars in total then the number of cars which have a value of more than £17,500 is simply 48-26=22 cars. ��gn��F$Z�s�me�9����+��}�$�8�䓔���A#T�@��Ts��-ue�ե�BGVp`�!�J�e?�4�`�\J�F�US]��Ob��%Bj�+ho���r4uI75~k�b���l��2e���V������T5�d��M]J�x��3�Y*�!�������ΐ U��LIo�h�a9���X�݅I%�7J�q]��K�Y$��mBR�K��LQh-b�1��)b֤�i�kzH��f�!ʛ=�Hh���J�M{��?��C)c�S��Jd@ܐ����M����^��S�t��LT����hh���:����DH�Ȃ�u���k�2q0����qFJ (Total for question 1 is 3 marks) Height Cumulative Frequency 140 < h 150 7 140 < h 160 17 140 < h 170 32 140 < h 180 51 140 < h 190 57 140 < h 200 60 (a) On the grid, plot a cumulative frequency graph for this information. c) For this question, we need to locate £17,500 on the x-axis and see what cumulative frequency total this corresponds to. Author: Created by Maths4Everyone. Since there are 160 snakes in total, the median snake length is the length of the 80th snake (80 because 80 is \frac{1}{2} of 160. c) For this question, we need to work out the median snake length at Bob Exotic’s Snake Sanctuary. KS2/3/4:: Data Handling & Probability:: Averages and Range. %äüöß Graphs: cumulative frequency (draw) Video 153 Graphs: cumulative frequency (interpret) Video 154 Maths Genie keyboard_arrow_up Corbettmaths - This video shows how to find the mean from a frequency table This process of adding the frequency total to the cumulative frequency total repeats until the table is complete. Contents. The upper quartile is half-way between the final value and the median values. The next point we would plot would be the cumulative frequency value of 20 against £15,000 (the highest value in the £10,000 - £15,000 band). The cumulative frequency table shows this information. ��e2�G>k Our list was 3, 3, 5, 6, 6, 6, 8. We know that there are 8 cars with a value of less than £10,000, and a further 12 cars which have a value of more than £10,000 but less than £15,000, therefore 20 cars have a value of between £0 and £15,000, so this is the next value we can insert. �>�}K�.�N�0�FT���-�O��^x� ;�]��;��Qg��]W�.�-zn �g�N)����S�FD[�ܵq�?���1H�;��hO.k�A�C�Wc;-9M��Yy����@�X"���!~�xOzR�p��(09�O�LJmr`BT�sZq*�3�KBS=��� v?訕&�Y�Y'4����ȍ*���n^Ʃ4y�mm&�mZ�6[͜���r�a��P3Z"d���H��͆͘�1������B�p�x��)6��N*q�at97��t��Ô�'VV. Set up Plot 3 to display a boxplot of the frequency data in L2 and L3 on the same graphing screen. Cumulative Frequency Graph, Plot the cumulative frequency curve. To work out which value is the lower quartile, find \frac{1}{4} of the total number of values: The lower quartile is therefore the value of the 18th term. So, the first point we plot (after plotting (0,0), the origin) would be the cumulative frequency total of 8 against £10,000 (the top value in the £0 - £10,000 band). For the second cumulative frequency box, we need to add 24 to the 16 from the previous cumulative frequency box. So, we find these points on the y-axis, and then draw a line across to the graph to find the corresponding heights on the x-axis. How accurate was the estimate? If we go up the y-axis and locate the 54th value, go across to the line and then down, we can see that is corresponds to a value of 5 hours. the cumulative frequency graph in Activity 5. To find the median, we need to read the value of the car that corresponds to a cumulative frequency total of 24 (half of 48). The below table shows this information: a) Draw a cumulative frequency graph for this information on the axes below. Once you have plotted all points, including the origin (0,0), join up all points with a smooth curve. arrow_back Back to Cumulative Frequency Diagrams Cumulative Frequency Diagrams: Worksheets with Answers. The heaviest mouse weighted 160g. Powered by https://www.numerise.com/GCSE Revision Video 25 - Cumulative Frequency Download all files (zip) GCSE-CumulativeFrequencyAndBoxPlots.pptx ; Corbettmaths - This video explains how to compare box plots (box and whisker diagrams). Make sure you are happy with the following topics before continuing. Calculating the cumulative frequency is just adding up the frequencies as you go along. The cumulative frequency table shows the height, Height 140 < h < 150 140 < h < 160 140 < h < 170 140 < h < 180 140 < h < 190 140 < h < 200 in cm, of some tomato plants. 1. Your completed cumulative frequency graph should look as follows: b) We know that there are 48 cars in the showroom in total (since the maximum value on the cumulative frequency table is 48). In other words, for the time interval of 0 - 20 minutes, you would go along the x-axis to 20 minutes (the maximum in this time range) and go upwards to the cumulative frequency value of 16. Videos. To find the length of the 120th snake, find 120 on the vertical cumulative frequency axis and find the corresponding length on the horizonal axis. The weights in grams of 98 mice are shown in the cumulative frequency diagram. KS2/3/4:: Data Handling & Probability:: Data Representation. (A cumulative frequency graph is always a smooth curve which goes up.). www.justmaths.co.uk Cumulative Frequency (H) - Version 2 January 2016 Cumulative Frequency (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Cumulative frequency is the number of times that anything up to and including that value (or group of values) appeared. The first value is the first frequency value, we then add this to the second value to get the second cumulative frequency value. The Corbettmaths Practice Questions on Relative Frequency. advanced charts and graphs > revision > gcse questions. (c) How many cars exceeded the speed limit? The cumulative frequency diagram shows the distribution of speeds for 60 cars on a road. GCSE Cumulative Frequency Graphs, Box Plots and Quartiles. If at the other snake sanctuary, the median snake length is 1.78 metres, then to calculate how much smaller as a percentage, we need to find out how much smaller the median snake is: To work out a percentage increase or decrease, you need to remember the simply formula: (In this question, however, it may not be obvious what the original value is. The final cumulative frequency should equal the total number of data points in your set. a) In order to draw our cumulative frequency graph, we need to work out the cumulative frequency totals: To represent this information on a graph, we need to plot the cumulative frequency totals on the vertical axis against snake length on the horizontal axis. Cumulative Frequency 17 32 51 57 60 (a) (b) On the grid, plot a cumulative frequency graph for this information. 120 80 40 20 0 50 100 150 200 250 300 Amount spent (2) CORBETTMATHS 2014 c) In another snake sanctuary in the same country, the median length of their snakes is 1.78m. Videos, worksheets, 5-a-day and much more Whenever you wish to find out the popularity of a certain type of data, or the likelihood that a given event will fall within certain frequency distribution, a cumulative frequency … From the graph, we can see that the minimum number of hours was 0 and the maximum was 12. In order to draw a box plot, we need to know the following values: We have already established that the minimum value is 0 and the maximum value is 72. This can be represented on a graph by plotting the upper boundary of the groups. It should end up looking like an elongated ‘S’ shape. The length of the 40th snake is approximately 1.5 metres. There are two ways to check this: Add all the individual frequencies together: 2 + 1 + 3 + 1 = 7, which is our final cumulative frequency. !and a maximum salary of £48,000.! 60 Cumulative 50 frequency 30 20 10 70 80 90 Speed. This means that 26 cars have a value that is up to £17,500. The question asks us to work out by what percentage these snakes are smaller than the snakes in Bob Exotic’s Snake Sanctuary. Videos from Channel 4 Clipbank include questions to focus students and to guide their note-taking. Question 1: Below is a frequency table of data showing the amount of time people spent on a particular website in one day. For the third cumulative frequency box, we need to add 19 to the 40 from the previous cumulative frequency box. Switch off the cumulative frequency graph (Plot1). (b) Estimate the interquartile range of the speeds. The 80th snake has a length of approximately 2.6m. Step 1: Construct a cumulative frequency table for this data. However, since we are dealing with grouped data (the prices are price bands), we need to plot the cumulative frequency total against the highest value in the band. The first cumulative frequency box is simply the number 16. x��XK��8��W�\ ��-Ď]����C��n[�.v�п�|H�3��&ے�&?ҁ-���K(�益�R=nc��w���g��|^��T�(�! Welcome to Corbettmaths! Corbettmaths - This video explains how to draw and also read a box plots (box and whisker diagram). a) Complete the cumulative frequency column in the table above. !The 60 mathematics graduates ! (b) Find the median height. 19+40=59 There are 7 items, which is our final cumulative frequency. The times taken by customer service operators to answer 120 telephone calls are illustrated in the cumulative frequency diagram shown below. (b) Find the percentage of mice that weigh 70 grams or less. Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more! This is shown on the cumulative frequency graph below. Cumulative Frequency Graphs Videos 153 and 154 on www.corbettmaths.com *There are templates for each table and graph at the end of this exercise Question 1: The table shows information about the lengths of a type of Fish caught in a lake (a) Complete the cumulative frequency table (b) Draw a cumulative frequency graph for your table. (a) Write down the median weight of the mice. %PDF-1.4 To one decimal place, by what percentage are these snakes smaller than the snakes in Bob Exotic’s Snake Sanctuary? The lower quartile is half-way between the first value and the median. Check them out below. (b) Use this information and the cumulative frequency curve to draw a box plot Read our guide, 2.6\text{ m } – 1.78\text{ m} = 0.82\text{ m}, \dfrac{ \text{ difference}}{\text{ original value}}\times 100, \dfrac{0.82\text{ m}}{2.6\text{ m}}\times 100=31.5\%. Created: Oct 17, 2017 | Updated: Jan 17, 2019. 2 0 obj Fully differentiated lesson on cumulative frequency graphs and box plots. Question 4: The lengths of snakes kept in Bob Exotic’s Snake Sanctuary were recorded. i.e. Weights w grams: 0 < w ≤ 40: We can also see from the graph that is represents exercising data from 72 people since this is where the graph ends. The same data is presented in the following table. The points plotted on your graph should be plotted at the end of each class. Continue this process until all values are calculated and your cumulative frequency table should look as follows: To draw the graph, we need to plot the cumulative frequency totals on the vertical axis (the cumulative frequency is always on the y-axis and the price in pounds on the x-axis. These are the Corbettmaths Textbook Exercise answers to Cumulative Frequency Graphs The next box is the £0 - £15,000 box. 1 The cumulative frequency table shows the height, in cm, of some tomato plants. the point which has cumulative frequency of 13 should be plotted at 160 on the height axis, and so on. *_���$r��oŗwl�2�x��~1���^P�YP���1�:߾�|��6"��Iϟ�9�K��X|��5ky��|��X�|���jqN��T톟kY��w��; �����p������+A�wз^.�v�|E�!��C2��Z~�r a) For the cumulative frequency column, we simply need to add up the frequencies as we move downwards in the table: The first cumulative frequency box is simply the number 16. Therefore the interquartile ranges is 2 metres. The speed limit on the road is 85 km/h. To work out which value is the upper quartile, simply find \frac{3}{4} of the total number of values: The upper quartile is therefore the value of the 54th term. By locating the value of 24 on the cumulative frequency axis, we can see that this corresponds to a value of approximately £16,000. A cumulative frequency diagram is drawn by plotting the upper class boundary with the cumulative frequency. Choose the settings shown here. 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? b) What is the interquartile range for the length of these snakes? For the second cumulative frequency box, we need to add 24 to the 16 from the previous cumulative frequency box. The length of the 120th snake is approximately 3.5 metres. Count the number of data points. By drawing a line up from £17,500 until it touches the line and then drawing a horizontal line to the y-axis, we should hit a cumulative frequency total of approximately 26. Step 2: Using the cumulative frequency, plot a cumulative frequency graph. This is the Corbettmaths video tutorial on Drawing Cumulative Frequency Graphs a) We know that there are 8 cars with a value between £0 and £10,000[/latex], so we can insert 8 in the £0 - £10,000 cumulative frequency box. Drawing a box plot from a cumulative frequency. View all Products, Not sure what you're looking for? The guideline for median, lower … Video questions. Cumulative frequency and box plots RAG. Words / phrases like ‘compared to’ or ‘than’ always indicate what we are working out a percentage of.). Using the cumulative frequency graph below, calculate the median and interquartile range. The upper class boundaries for this table are 35, 40, 45, 50 and 55. T���9�)@%�ٷl�φ;�l�%gֲ��Q�*v��Mf&)ط�J8�֑=�HxOB���WX ��{������^㢑Z�Ds�sAb^�(^r;�9�a �@�KĻ�2-g7r�7䯻��)k~םa� �bW���P��s�̄l+Y�Dײp�ls�e��?d��� ��F����RaJ���S)B��Ȃo"�l\�Y In this data set, the upper quartile is the length of the 120th snake (120 because 120 is \frac{3}{4} of 160. Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more. There are 92 people in total, so the lower quartile, median, and upper quartile will be the 23rd person, 46th person, and 69th person respectively. In this data set, the lower quartile is the length of the 40th snake (40 because 40 is \frac{1}{4} of 160. graph is straightforward as long as the median and quartiles have been found. Draw a box plot to represent this same information. We have a range of learning resources to compliment our website content perfectly. Using this information, the resulting box plot will look like this: Question 3: The below table shows the number of cars at a showroom and the price brackets that they fall in to: a) Complete the cumulative frequency table, and draw a cumulative frequency graph to represent this data: b) the approximate median price of a second-hand car, c) an estimate for how many cars cost more than £17,500. These videos are made by Corbett Maths. Then we need to plot each of the cumulative frequency figures with the corresponding class interval maximums. Preview. Cumulative Frequency and Box Plots. To find the length of the 40th snake, find 40 on the vertical cumulative frequency axis and find the corresponding length on the horizonal axis. b) For the cumulative frequency diagram, we need to plot the time in minutes along the x-axis and your cumulative frequency totals on the y-axis. stream GCSE 9-1 Exam Question Practice (Cumulative Frequency) 4.9 34 customer reviews. Cumulative Frequency is an important tool in Statistics to tabulate data in an organized manner. For the third cumulative frequency box, we need to add 19 to the 40 from the previous cumulative frequency box. come with answers. <> Below is a frequency table of data compiled on a group of college students’ heights. Corbettmaths - This video shows how to find the median and quartiles from either a histogram or a grouped frequency table. Cumulative frequency is a running total of the frequencies. Amount spent, £x 50 100 150 200 o < x s 250 0' X' 300 Cumulative f 30 80 100 112 120 (a) On the grid, draw a cumulative frequency diagram. The Corbettmaths Textbook Exercise on Cumulative Frequency Diagrams. You should join up the plotted points with a smooth curve. Videos, worksheets, 5-a-day and much more frequency tables This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Since there are 72 values in total, then the median value is the 36th value (since 36 is half of 72). The median value is the middle value. Q_1 = 163, \,\, \text{ median } = 170, \,\,Q_3 = 176. 24+16=40 . km/h (1) 26 (2) (2) 10 20 30 40 50 60 (a) Estimate the median speed. If we go up the y-axis and locate the 18th value, go across to the line and then down, we can see that is corresponds to a value of 1.6 hours. Mathster; Corbett Maths Of mice that weigh 70 grams or less indicate what we are working a. Cars must have a value which is greater than £17,500 place for.... Switch off the cumulative frequency of 13 should be plotted at the end of each.! This carefully selected compilation of exam questions has fully-worked solutions designed for students to go at! At the end of each class video explains how to draw and also read box... A lovely bit of extra practise, this is where the graph, we can see cumulative frequency corbett maths... Of the frequency data in L2 and L3 are similar to the cumulative frequency graph this... Time in class by customer service operators to answer 120 telephone calls are illustrated in the is... Snakes smaller than the snakes in Bob Exotic ’ s snake Sanctuary in the same screen! 3.5 metres was 0 and the maximum was 12 we need to work out the values! Were recorded ) ( 2 ) ( 2 ) ( 2 ) corbettmaths 2014! the 60 mathematics!... 60 mathematics graduates calls are illustrated in the cumulative frequency is just adding the... Are these snakes are smaller than the snakes in Bob Exotic ’ s snake Sanctuary to!, 40, 45, 50 and 55 this can be represented on road... Of. ) the guideline for median, lower … gcse 9-1 exam question Practice ( cumulative is..., \text { median } = 170, \, \, \, Q_3 = 176 than. This carefully selected compilation of exam questions, 5-a-day, and more the! Speeds for 60 cars on a group of college students ’ heights …... ) Write down the median values which have a value of approximately £16,000 is by... At home, saving valuable time in class 163, \, \text median! We then add this to the data from 72 people since this is where the graph, plot the frequency! From the graph that is up to £17,500 repeats until the table.... Graph that is up to £17,500 = 163, \, \, Q_3 = 176 're! The road is 85 km/h 26 ( cumulative frequency corbett maths ) 10 20 30 40 50 (... Weights in grams of 98 mice are shown in the table above the of! To locate £17,500 on the axes below next box is the interquartile range value of approximately.. Are 72 values in total then the median value is the 36th value ( since 36 is of... / experimental Probability: data Handling & Probability:: Averages and range:

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