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Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. Histograms are similar to bar charts apart from the consideration of areas. In the 0 – 20 kilometres category, the 80 riders could have cycled 1 kilometre or 19 kilometres. GCSE questions on histograms - mathsteaching.wordpress.com GCSE 9 - 1 exam questions - Maths4Everyone on TES Interpreting Frequency Graphs (textbook extract - includes histograms) - OUP registered in England (Company No 02017289) with its registered office at 26 Red Lion Show all files. Histograms Practice Questions Click here for Questions . 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 $ # a)  The key piece of information in this question is that 15 bags of flour weigh between 35 and 40 pounds. Below is a grouped frequency table of the lengths of 71 pieces of string. GCSE Maths Specification and Awarding Body Information Example. KS2/3/4:: Data Handling & Probability:: Data Representation. In order to do this, we will need to take a frequency density reading from the histogram for the 2 length categories in question. Work out how many could hold their breath for between 20 and 40 seconds. Histograms look like bar charts but have important differences. Covers all types of histogram questions. Instructions Use black ink or ball-point pen. Therefore the 55 – 65 pound category corresponds to 35 bags. If an 85 is the lowest score a student can earn to receive a B, how many students received at least a B? Frequency Tables [GCSE Questions] Frequency Tables [Solutions] Cumulative Frequency [GCSE Questions] Cumulative Frequency [Solutions] Histograms [GCSE Questions] Histograms [Solutions] Show Solutions; Download; Full Screen < > docx, 615 KB. Once this new column is completed, all that remains is to plot the histogram. Tes Global Ltd is GCSE Histograms. • Try to answer every question. Practice Questions; Post navigation. We are now in a position to calculate the estimated weight of the 93^{\text{rd}} bag (this is the hard bit!). 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. The frequency density is calculated by dividing each frequency by its associated class width. 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? View all Products, Not sure what you're looking for? Mathematics, 21.06.2019 17:00, adreyan6221. Histograms. We have a range of learning resources to compliment our website content perfectly. Mathematics / Data and statistics / Data processing, Mathematics / Data and statistics / Data representation, Mathematics / Data and statistics / Handling data, GCSE 9-1 Exam Question Practice (Vectors), GCSE 9-1 Exam Question Practice (Trigonometry), GCSE 9-1 Exam Question Practice (3D Pythagoras + Trigonometry). Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. who took between 3 and 4 minutes to do the quiz. A survey was carried out to record the speeds of cars entering a village. c)  What is the median weight of a bag of flour? Histograms are like bar charts with 2 key differences: Make sure you are happy with the following topics before continuing. Drawing of histograms, stem and leaf diagrams or box plots will not be . Worksheet. The histogram below shows this information: a)  Estimate the number of cyclists who rode for 30 kilometres or less. Covers all types of histogram questions. Covers all types of histogram questions. Histograms Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. 34 / 50 Marks The Maths GCSE test scores of 280 students are shown in the histogram below. Example Here is a table of data similar to the last one but with values of height grouped differently using inequalities. Histogram Answers - Displaying top 8 worksheets found for this concept.. (a) Work out an estimate for the number of pigs which weigh more than 80kg. Maths Made Easy © Complete Tuition Ltd 2017 www.CompleteTuition.co.uk GCSE GCSE Mathematics revision section looking at past paper video questions. We know from the first question that 5 small squares corresponds to 1 bag, so 25 small squares will correspond to 5 bags. When displaying grouped data, especially continuous data, a histogram is often the best way to do it – specifically in cases where not all the groups/classes are the same width. Powerpoint presentation and associated worksheets. Read our guide, \text{Frequency density} = 6 \div10 = 0.6, 54\text{ people} = 135\text{ small squares}, \text{1 person } = \dfrac{135}{54} = 2.5\text{ small squares}, \text{Frequency density} = \dfrac{\text{frequency}}{\text{bandwidth}}, \text{Frequency} = \text{ frequency density}\times\text{ bandwidth}, \text{Estimated mean} = 22678.5\text{ kilometres} \div \text471\text{ riders} \approx 48\text{ kilometres}, \text{Frequency density} =  32 \div 4 = 8, \text{Frequency density} =  22 \div 10 = 2.2, \text{Frequency density} =  42 \div 20 = 2.1, \text{Frequency density} =  30 \div 5 = 6, \text{Frequency density} =  9 \div 15 = 0.6, \text{Frequency} =\text{frequency density}\times\text{bandwidth}, 2.5\times30\text{ small squares} = 75\text{ small squares}, 15\text{ bags} = 75\text { small squares}, \dfrac{18}{35}\times10=5.14\text{ pounds}. 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. This means that we need to create a new column on the data table for the frequency densities. Edexcel GCSE Mathematics (Linear) – 1MA0 HISTOGRAMS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. GCSE QUESTIONS. The frequency of the data is measured by area not height. The Corbettmaths video tutorial on Reading Histograms. Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. • Keep an eye on the time. GCSE Histograms 4 files 04/10/2020. If there were 20 bags in the 55 – 65 pound category, and it was the 10^{\text{th}} bag in this category that represented the median, since the 10^{\text{th}} bag in the category is exactly half way through the 20 bags in the category, then its estimated weight would simply be half way between 55 and 65 pounds, so would therefore have a weight of 60 pounds.). Exam Questions – Estimating the median from a histogram. Created: Oct 18, 2017| Updated: Jan 17, 2019, This carefully selected compilation of exam questions has. Advice •• Read each question carefully before you start to answer it. – use this as a guide as to how much time to spend on each question. The number of values in each class is represented by the area of each bar (and not the height). If we compare the area to the 30 – 40 pound category, its area is 25 small squares larger than the 30 – 40 pound category. Dividing the frequency of the first class by its width, we get, \text{frequency density } =\dfrac{8}{20-0} = 0.4. It’s the area (as opposed to the height) of each bar that tells you the frequency of that class. b) Find the lower quartile of the scores. The histogram below shows information about how much time was spent in a supermarket by 100 shoppers. The frequency density for each group is found using the formula: \text{frequency density} = \dfrac{\text{frequency}}{\text{class width}}. Therefore the estimated mean can be calculated as follows: Question 4: The table shows information about the length of fish caught by some fisherman at a local lake: a)  Use the information on the table to complete the histogram: b)  Use the histogram to complete the table above. 40 x KS3 Maths Homework Sheets / Booklet WITH ANSWERS!!!! Histograms. (a) Complete the frequency table (b) 20% of the shoppers are in the supermarket for more than T minutes. 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. 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. Below is a histogram showing the times taken to complete a quiz. 5-a-day Workbooks. In a histogram, the area is the important thing. Between 0 and 1.5 minutes includes all of the first bar and some of the second. … 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. About this resource. Calculate an estimate of the value of T. [2 marks] GCSE Exam Questions on Histograms 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). GCSE Revision Cards. In order to make this work, when drawing a histogram, we plot frequency density on the y-axis rather than frequency. 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). 44 people took between 0 and 1.5 minutes. The histogram shows information about the weight of the bags of flour: 15 bags of flour weigh between 35 and 40 pounds. Question 1: Below is a grouped frequency table showing the heights of plants growing in a garden. 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. 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. Next Bar Charts, Pictograms and Tally Charts Practice Questions. Powerpoint presentation and associated worksheets. Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. In a histogram, there are no gaps between the bars; the area of each bar is proportional to the frequency; So, a histogram must be constructed so that the area of a bar is proportional to the frequency. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up The histograms below show the scores for Mrs. Smith’s first and second block class at Red Rock Middle School. To construct a histogram, we will need the frequency density for each class. This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Check your answers if you have time at the end. London WC1R 4HQ. 2. We know from the first question, that 15 bags of flour weigh between 35 and 40 pounds. (b) Explain why your answer to part a is only an estimate. We have been told that 54 people can hold their breath for at least a minute, so this means that the area of the bars from 60 seconds upwards represents 54 people. All we need to do is rearrange the frequency density formula so that we can work out the frequency. The histogram below shows the scores for Mrs. Smith’s first block class at Red Rock Middle School. They are designed to make it easy for students to take the first steps in each topic, then strengthen and extend their knowledge and skills. Model answers & video solution for Histograms. Each time you take each quiz you'll be given 10 questions at random. The area of the 35 – 40 pounds bar (do not accidentally work out the area of the entire 30 – 40 pounds bar!) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. 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. 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. Use this quiz to test yourself. 1. The height will be on the the x-axis and the frequency density on the y-axis. Model answers & video solution for Histograms. Previous Scatter Graphs Practice Questions. [2] Name: Total Marks: Tracing paper may be used. 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. Histograms is a Higher tier topic. It will fall \frac{18}{35} of the way between 55 – 65 pounds. Note that these questions are sorted in date order (most recent questions first). 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. 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. 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. 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). Since this is half of the total of the 30 – 40 pound category, the number of bags between 30 and 40 pounds is: In the 40 – 55 pound category, the area is 1.5 times the 30 – 40 pound strip, so this represents: So far we have accounted for the first 75 bags of flour (50+75=125) so haven’t reached the 93^{\text{rd}} bag of flour yet. The resources include revision questions for KS2 SATs and GCSE. Download all files (zip) GCSE-Histograms.pptx ; GCSE_HistogramQuestions.pdf ; GCSE_HistogramQuestions.docx ; QQQ-GCSEHistograms.docx . Histograms use a continuous horizontal scale which means the bars touch so the difference between them is zero. ... GCSE-Histograms. Conditions. Work out how many people took between 3 and 4 minutes. a)  How many bags of flour weigh more than 80 pounds? The number of small squares between 20 and 40 is: (5 \times 32) + (5 \times 20) = 160 + 100 = 260. Square Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) GCSE style questions arranged by topic Histograms Preview. We can write this as \frac{18}{35}. Questions in other subjects: Mathematics, 23.07.2019 00:30. Other questions on the subject: Mathematics. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. The first row of the table has a plant height from 0 - 10cm and a frequency of 6. GCSE_HistogramQuestions. How to draw a histogram from some grouped frequency data is covered first, then how to use a histogram to answer questions about the data. The histogram illustrates the results of the survey. As a result, the bags he has received are of varying weights. Histograms A histogram looks like a bar chart , except the area of the bar , and not the height, shows the frequency of the data . 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. 3) Median score: Lower quartile: Submit Answer Your completed histogram should look like the one below: Question 2: Below is a histogram showing how long people can hold their breath. Histograms are like bar charts with 2 key differences:. ADVANCED CHARTS AND GRAPHS > REVISION > GCSE QUESTIONS. …..... (3) … Primary Study Cards. Info. In order to draw a histogram, we need to know the frequency density for each row of data. In order to do this, we need to work out how many riders rode between 0 – 20 kilometres, 20 – 30 kilometres, 30 – 54 kilometres etc. GCSE 9-1 Exam Question Practice (Histograms) 4.9 55 customer reviews. The tabulated data should look like the below: The total of the frequency column is the total number of riders. Videos, worksheets, 5-a-day and much more This page looks at worked examples for Histograms. 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. To answer this question, we’re going to use the information to work out how much 1 small square of area is worth. 9-1 GCSE Maths - Histograms - Unequal Class Intervals - Frequency Density -Higher -ukmathsteacher 1. (a) Use the histogram to complete the grouped frequency table below. This is illustrated in green on the graph below. 6 The histogram shows information about the weight of pigs. 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. (Total for question 6 is 4 marks) 30 pigs weigh between 50 and 65 kg. All we need to do now is work out how many small squares there are from 80 pounds upwards. GCSE_HistogramQuestions. a)  Since we are taking data from the histogram, we can see the frequency density and the band width, but we need to work out how many riders (the frequency) rode for 30 kilometres or less. 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. A) 4 C) 6 B) 10 D) 15 7. Worksheet. So where in the weight category does this fall? can be calculated as follows: We can therefore conclude that 15 bags of flour is represented by 75 small squares. 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. Covers all types of histogram questions. Created: Oct 18, 2017 | Updated: Jan 17, 2019. Stock Market Data Analysis Project 2 files 24/02/2020. Histograms On a histogram, the area of the bar , and not the height, represents the frequency of the data . 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. My Tweets. Our collection of revision videos on histograms will help: Histogram Revision Videos In a bar chart, all of the bars are the same width and the only thing that matters is the height of the bar. 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. There were 54 people who could hold it for at least 1 minute. 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. The 55 – 65 pound category has the same width as the 30 – 40 pound category. Search for: Contact us. pdf, 963 KB. When displaying grouped data, especially continuous data, a histogram is often the best way to do it – specifically in cases where not all the groups/classes are the same width. E.g.1. Check them out below. b)  Find an estimate for the mean journey length to the nearest kilometre. This is illustrated in red on the histogram below. A histograms is a form of bar chart; however, there are two main differences. 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. This website and its content is subject to our Terms and Since 5 small squares represents a single bag of flour, then 200 squares represents 40 bags of flour. Questions may involve the p det r att det finns mjlighet att lsa bara statistik p GCSE och A-level men de har . b)  The answer to part a) can only be an estimate because we are dealing with grouped data. From 0 to 1 minutes there are 10\times 12 =120 small squares, and from 1 to 1.5 there are 5\times 20=100 small squares (marked on the graph below for clarity). 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). Frequency density O 90 100 110 120 130 140 150 160 170 180 190 200 Score a) Find the median score. 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). Year 6 Maths Consolidation Pack - Summer Term - White Rose Maths' Resources, Scatter Graphs Part 12 of 12 Data Handling, Scatter Graphs Part 11 of 12 Data Handling. For more information please see the Edexcel GCSE Maths page. So, in total there are 100+120=220 small squares between 0 and 1.5 minutes, and the question tells us that this accounts for 44 people. In recent examinations this topic has caused difficulties for many students. The table shows the ages of 25 children on a school trip. Click here for Answers . 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. The total of the ‘midpoint multiplied by frequency column’ is the total distance travelled by all of the riders. Therefore the median weight of a bag of flour is the weight of the 93^{\text{rd}} bag (since 93 is the ‘mid-point’ of 185). We will therefore need to work out which weight band the 93^{\text{rd}} bag of flour falls into. b)  Explain why your answer or part a) is only an estimate. 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. Draw a histogram for the following information. We already know from the previous question that 80 riders rode between 0 and 20 kilometres and that a further 100 riders rode between 20 and 30 kilometres. Past paper exam questions organised by topic and difficulty for Edexcel IGCSE Maths. The table shows the ages of 25 children on a school trip. Author: Created by Maths4Everyone. There are no gaps between the bars; It’s the area (as opposed to the height) of each bar that tells you the frequency of that class. Histograms are only used for numerical continuous data that is grouped. c) We know from the question that there are 185 bags of flour in total. 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