If an 85 is the lowest score a student can earn to receive a B, how many students received at least a B? Powerpoint presentation and associated worksheets. It will fall \frac{18}{35} of the way between 55 – 65 pounds. The easiest thing for us to do is to tabulate our data, with one column for the midpoint of each distance category, another column for the frequency (number of riders) and another column for the midpoint multiplied by the frequency (this last column is to work out the total distance travelled by all the riders in that category combined because to work out the mean, we will need to divide the total distance travelled by all riders by the number of riders). Therefore, the frequency for the 4 – 10 cm length category can be calculated as follows: The frequency for the 45 – 55 cm length category can be calculated as follows: Question 5: A baker for a large supermarket has received a total of 185 bags of flour from different suppliers. As a result, the bags he has received are of varying weights. Powerpoint presentation and associated worksheets. With lengths on the x-axis and frequency density on the y-axis, each bar that we draw will have width equal to its class width, and height equal to the relevant frequency density. Covers all types of histogram questions. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up Drawing of histograms, stem and leaf diagrams or box plots will not be . The height will be on the the x-axis and the frequency density on the y-axis. A histograms is a form of bar chart; however, there are two main differences. Calculate an estimate of the value of T. [2 marks] GCSE Exam Questions on Histograms The histogram below shows the scores for Mrs. Smith’s first block class at Red Rock Middle School. Histograms look like bar charts but have important differences. This page looks at worked examples for Histograms. Maths Made Easy © Complete Tuition Ltd 2017 www.CompleteTuition.co.uk GCSE registered in England (Company No 02017289) with its registered office at 26 Red Lion Questions may involve the p det r att det finns mjlighet att lsa bara statistik p GCSE och A-level men de har . Since the band widths are not consistent (the band width of the 20 - 24 cm category is only 4 cm whereas the band width for the 30 - 50 cm category is 20 cm), this means that the widths of the bars you draw will not be the same. 1) View Solution Since this is a weight category of 10 pounds, we will need to perform the following calculation: Since the category starts at 55 pounds, then the weight of the median bag (the 93^{\text{rd}}) bag is 55+5.14=60.14 \text{ pounds}, (This last part seems complicated, but only because the fraction is not that easy. To work out the area in these two bars, we simply need to count the small squares: (5 \times 15) + (15 \times 4) = 75 + 60 = 135. At one extreme, it is possible that all of these bags of flour are less than 80 pounds and, at the other extreme, it is possible that they might all weigh more than 80 pounds. Therefore, once we know what an area of 25 small squares represents, we can add this to 30 (the number of bags represented by the 30 – 40 pound category). Tes Global Ltd is ADVANCED CHARTS AND GRAPHS > REVISION > GCSE QUESTIONS. Primary Study Cards. All we need to do is rearrange the frequency density formula so that we can work out the frequency. The frequency density for each group is found using the formula: \text{frequency density} = \dfrac{\text{frequency}}{\text{class width}}. GCSE Maths Specification and Awarding Body Information As mentioned above, the frequency density is the frequency divided by the band width, so the frequency density for the first row can be calculated as follows: By repeating this process for the remaining four rows, our completed frequency density column will look like the one below: Now we are in a position to draw the histogram. The tabulated data should look like the below: The total of the frequency column is the total number of riders. (Total for question 6 is 4 marks) 30 pigs weigh between 50 and 65 kg. A) 4 C) 6 B) 10 D) 15 7. Our collection of revision videos on histograms will help: Histogram Revision Videos Some of the worksheets for this concept are Work 2 on histograms and box and whisker plots, Histogram work 2013, Histograms multiple choice practice, Box stem leaf histogram work answer key graph it, Histograms, Gcse exam questions on histograms grade aa, Visualizing data date period, Frequency tables and histograms. This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. a) How many bags of flour weigh more than 80 pounds? Use this quiz to test yourself. a) The key piece of information in this question is that 15 bags of flour weigh between 35 and 40 pounds. The frequency of the data is measured by area not height. The histograms below show the scores for Mrs. Smith’s first and second block class at Red Rock Middle School. The table shows the ages of 25 children on a school trip. Below is a histogram showing the times taken to complete a quiz. • Keep an eye on the time. 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? In a histogram, the area is the important thing. Search for: Contact us. In order to draw a histogram, we need to know the frequency density for each row of data. Past paper exam questions organised by topic and difficulty for Edexcel IGCSE Maths. (b) Explain why your answer to part a is only an estimate. b) Explain why your answer or part a) is only an estimate. KS2/3/4:: Data Handling & Probability:: Data Representation. A project ended for higher-ability GCSE students that (a) gives a basic overview of financial markets (b) introduces important spreadsheet skills and (c) tasks students with analysing stock market data and comparing to conventional savings accounts. b) The answer to part a) can only be an estimate because we are dealing with grouped data. London WC1R 4HQ. The number of small squares between 20 and 40 is: (5 \times 32) + (5 \times 20) = 160 + 100 = 260. a) In order to complete the rest of the histogram, we need to work out the frequency densities for the length categories which have not already been drawn on the histogram. Question 1: Below is a grouped frequency table showing the heights of plants growing in a garden. Work out how many people took between 3 and 4 minutes. – use this as a guide as to how much time to spend on each question. Since there are 30 bags in the 30 – 40 pound category and a further 45 bags in the 40 – 55 pound category, there are 75 bags that have a weight between 30 and 55 pounds. Therefore, 1 person is equal to, Now, reading from the graph we get that there are 11 \times 10 = 110 small squares between 3 and 4 minutes, so given that 5 small squares is one person, there must be. b) Find an estimate for the mean journey length to the nearest kilometre. In recent examinations this topic has caused difficulties for many students. Once we have calculated the frequency density with the remaining groups, then it is good to add a third column to the table containing the frequency density values, see the completed table. The key formula when we are dealing with histograms is: If we need to work out the frequency, then we simply need to rearrange this formula: The number of riders (the frequency) who rode between 0 and 20 kilometres can be calculated as follows: The number of riders (the frequency) who rode between 20 and 30 kilometres can be calculated as follows: Therefore the number of riders who rode between 0 and 30 kilometres is: b) In order to work out the mean journey length, we need to work out how many riders there are in total. The area of the 35 – 40 pounds bar (do not accidentally work out the area of the entire 30 – 40 pounds bar!) GCSE Histograms. Between 80 and 95 pounds there are 75 small squares, and between 95 and 100 pounds, there are a further 125 small squares, giving us a total of 200 small squares. Histograms are similar to bar charts apart from the consideration of areas. Advice •• Read each question carefully before you start to answer it. Previous Scatter Graphs Practice Questions. Example. Histograms. Histograms Practice Questions Click here for Questions . GCSE_HistogramQuestions. Therefore, the number of people who can hold their breath for between 20 and 40 seconds is: Question 3: Some cyclists from a local cycling club go out for their usual Sunday ride. The histogram below shows information about how much time was spent in a supermarket by 100 shoppers. E.g.1. Reading from the histogram, we see that the frequency density for the 4 – 10 cm category is 3.5, and the frequency density for the 45 - 55 cm category is 4.6. [2] Name: Total Marks: Frequency Tables [GCSE Questions] Frequency Tables [Solutions] Cumulative Frequency [GCSE Questions] Cumulative Frequency [Solutions] Histograms [GCSE Questions] Histograms [Solutions] Show Solutions; Download; Full Screen < > Created: Oct 18, 2017| Updated: Jan 17, 2019, This carefully selected compilation of exam questions has. Show all files. docx, 615 KB. The total of the ‘midpoint multiplied by frequency column’ is the total distance travelled by all of the riders. Therefore the 55 – 65 pound category accounts for the 76^{\text{th}} bag to the 110^{\text{th}} bag (110 since there are 75 bags between 30 and 55 pounds and 35 bags between 55 and 65 pounds). Mathematics, 21.06.2019 17:00, adreyan6221. If 135 small squares represents 54 people, we can work out how many people one small square represents: Now that we know that 1 person is represented by 2.5 small squares, we need to work out how many small squares there are between 20 and 40 seconds. GCSE QUESTIONS. (a) Use the histogram to complete the grouped frequency table below. Model answers & video solution for Histograms. May 2015, 3H Q19: 3 Marks Questions compiled by: @Maths4Everyone Contains questions which have been reproduced with the kind permission of Pearson Education Limited UK $ # c) What is the median weight of a bag of flour? By subtracting the 75 bags that weigh less than 55 pounds from 93, we can work out that the 93^{\text{rd}} bag will be the 18^{\text{th}} of the 35 bags between 55 and 65 pounds. GCSE Mathematics revision section looking at past paper video questions. This means that we need to create a new column on the data table for the frequency densities. ... GCSE-Histograms. 9-1 GCSE Maths - Histograms - Unequal Class Intervals - Frequency Density -Higher -ukmathsteacher There were 54 people who could hold it for at least 1 minute. c) We know from the question that there are 185 bags of flour in total. Model answers & video solution for Histograms. We have made the assumption that the number of bags that weigh between 80 and 95 pounds is \frac{3}{5} of the number of bags of flour that weigh between 70 and 95 pounds. This is illustrated in red on the histogram below. What we have to do is assume that the distance that each cyclist rode is the midpoint of each distance category (this is why this is an estimated mean and not an accurate mean). Stock Market Data Analysis Project 2 files 24/02/2020. In the 30 – 57 kilometres category, we have a band width of 27 kilometres and a frequency density of 2, so the number of riders can be calculated as follows: In the 57 – 70 kilometres category, we have a band width of 13 kilometres and a frequency density of 9, so the number of riders can be calculated as follows: In the 70 – 90 kilometres category, we have a band width of 20 kilometres and a frequency density of 6, so the number of riders can be calculated as follows: Although we now exactly how many riders rode in each distance category, we cannot know exactly how far each rider rode since we are dealing with grouped data. We have a range of learning resources to compliment our website content perfectly. Check them out below. It’s the area (as opposed to the height) of each bar that tells you the frequency of that class. Exam Questions – Estimating the median from a histogram. In order to make this work, when drawing a histogram, we plot frequency density on the y-axis rather than frequency. This is going to be difficult (impossible) at this stage since we do not know how many bags of flour are in the 30 – 40 pound category, the 40 – 55 pound category etc. The table shows the ages of 25 children on a school trip. We are trying to locate the weight of the 93^{\text{rd}} bag, so we know it must be in the 55 to 65 pound weight category. Histograms use a continuous horizontal scale which means the bars touch so the difference between them is zero. So where in the weight category does this fall? The 55 – 65 pound category has the same width as the 30 – 40 pound category. View all Products, Not sure what you're looking for? A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. 6 The histogram shows information about the weight of pigs. Tracing paper may be used. Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. Once this new column is completed, all that remains is to plot the histogram. • Try to answer every question. Author: Created by Maths4Everyone. Histograms A histogram looks like a bar chart , except the area of the bar , and not the height, shows the frequency of the data . Questions in other subjects: Mathematics, 23.07.2019 00:30. The frequency density for the 0 – 4 cm length category can be calculated as follows: The frequency density for the 10– 20 cm length category can be calculated as follows: The frequency density for the 20 – 40 cm length category can be calculated as follows: The frequency density for the 40 – 45 cm length category can be calculated as follows: The frequency density for the 55 – 70 cm length category can be calculated as follows: Now that we have worked out the frequency density for each length category, we can now plot them on the histogram, with a result similar to the below: b) For this part of the question, we need to fill in the gaps in the frequency column of the table. People who can hold their breath for 1 minute or more is represented by the whole of the last bar (70 - 100 seconds) and the right-hand part of the second-to-last bar (60 - 70 seconds). In order to do this, we will need to take a frequency density reading from the histogram for the 2 length categories in question. 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