A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. who took between 3 and 4 minutes to do the quiz. 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. [2] Name: Total Marks: In recent examinations this topic has caused difficulties for many students. The resources include revision questions for KS2 SATs and GCSE. So where in the weight category does this fall? (Total for question 6 is 4 marks) 30 pigs weigh between 50 and 65 kg. Download all files (zip) GCSE-Histograms.pptx ; GCSE_HistogramQuestions.pdf ; GCSE_HistogramQuestions.docx ; QQQ-GCSEHistograms.docx . There are many different lengths of routes to suit cyclists of all abilities. 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. 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 $ # This is illustrated in green on the graph below. GCSE_HistogramQuestions. Histograms is a Higher tier topic. Exam Questions – Estimating the median from a histogram. Other questions on the subject: Mathematics. London WC1R 4HQ. If we compare the area to the 30 – 40 pound category, its area is 25 small squares larger than the 30 – 40 pound category. 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. The histogram illustrates the results of the survey. docx, 615 KB. The number of small squares between 20 and 40 is: (5 \times 32) + (5 \times 20) = 160 + 100 = 260. GCSE Histograms 4 files 04/10/2020. Note that these questions are sorted in date order (most recent questions first). ADVANCED CHARTS AND GRAPHS > REVISION > GCSE QUESTIONS. There were 54 people who could hold it for at least 1 minute. 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. 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. Once this new column is completed, all that remains is to plot the histogram. Histograms use a continuous horizontal scale which means the bars touch so the difference between them is zero. Stock Market Data Analysis Project 2 files 24/02/2020. 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. Model answers & video solution for Histograms. 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. We can write this as \frac{18}{35}. Frequency density O 90 100 110 120 130 140 150 160 170 180 190 200 Score a) Find the median score. We will therefore need to work out which weight band the 93^{\text{rd}} bag of flour falls into. 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). (a) Complete the frequency table (b) 20% of the shoppers are in the supermarket for more than T minutes. Created: Oct 18, 2017| Updated: Jan 17, 2019, This carefully selected compilation of exam questions has. KS2/3/4:: Data Handling & Probability:: Data Representation. The frequency density is calculated by dividing each frequency by its associated class width. For more information please see the Edexcel GCSE Maths page. (b) Explain why your answer to part a is only an estimate. It’s the area (as opposed to the height) of each bar that tells you the frequency of that class. 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). 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. 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. We are now in a position to calculate the estimated weight of the 93^{\text{rd}} bag (this is the hard bit!). Instructions Use black ink or ball-point pen. (a) Work out an estimate for the number of pigs which weigh more than 80kg. 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}. Advice •• Read each question carefully before you start to answer it. Powerpoint presentation and associated worksheets. Covers all types of histogram questions. My Tweets. Tracing paper may be used. Square 6 The histogram shows information about the weight of pigs. The frequency of the data is measured by area not height. 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. As a result, the bags he has received are of varying weights. Histogram Answers - Displaying top 8 worksheets found for this concept.. Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. Histograms are like bar charts with 2 key differences: Make sure you are happy with the following topics before continuing. – use this as a guide as to how much time to spend on each question. GCSE Histograms. 3) Median score: Lower quartile: Submit Answer The tabulated data should look like the below: The total of the frequency column is the total number of riders. 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. This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. 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. Past paper exam questions organised by topic and difficulty for Edexcel IGCSE Maths. 9-1 GCSE Maths - Histograms - Unequal Class Intervals - Frequency Density -Higher -ukmathsteacher Check your answers if you have time at the end. Calculate an estimate of the value of T. [2 marks] GCSE Exam Questions on Histograms GCSE Revision Cards. The table shows the ages of 25 children on a school trip. The number of values in each class is represented by the area of each bar (and not the height). 2. Example Here is a table of data similar to the last one but with values of height grouped differently using inequalities. 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. 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. 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. If an 85 is the lowest score a student can earn to receive a B, how many students received at least a B? Histograms are similar to bar charts apart from the consideration of areas. It will fall \frac{18}{35} of the way between 55 – 65 pounds. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) GCSE style questions arranged by topic Histograms GCSE Maths Specification and Awarding Body Information 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. 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. 1) View Solution Covers all types of histogram questions. In order to draw a histogram, we need to know the frequency density for each row of data. a)  The key piece of information in this question is that 15 bags of flour weigh between 35 and 40 pounds. Worksheet. Tes Global Ltd is Each time you take each quiz you'll be given 10 questions at random. This means that we need to create a new column on the data table for the frequency densities. This is illustrated in red on the histogram below. 34 / 50 Marks The Maths GCSE test scores of 280 students are shown in the histogram below. GCSE questions on histograms - mathsteaching.wordpress.com GCSE 9 - 1 exam questions - Maths4Everyone on TES Interpreting Frequency Graphs (textbook extract - includes histograms) - OUP b)  The answer to part a) can only be an estimate because we are dealing with grouped data. b)  Find an estimate for the mean journey length to the nearest kilometre. a)  How many bags of flour weigh more than 80 pounds? Histograms. The area of the 35 – 40 pounds bar (do not accidentally work out the area of the entire 30 – 40 pounds bar!) Covers all types of histogram questions. 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. Histograms look like bar charts but have important differences. This website and its content is subject to our Terms and We know from the first question that 5 small squares corresponds to 1 bag, so 25 small squares will correspond to 5 bags. Check them out below. 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. Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. GCSE Mathematics revision section looking at past paper video questions. Search for: Contact us. 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. 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). Histograms Practice Questions Click here for Questions . … • Keep an eye on the time. We have a range of learning resources to compliment our website content perfectly. Our collection of revision videos on histograms will help: Histogram Revision Videos Work out how many could hold their breath for between 20 and 40 seconds. 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. Frequency Tables [GCSE Questions] Frequency Tables [Solutions] Cumulative Frequency [GCSE Questions] Cumulative Frequency [Solutions] Histograms [GCSE Questions] Histograms [Solutions] Show Solutions; Download; Full Screen < > Show all files. Between 0 and 1.5 minutes includes all of the first bar and some of the second. The histogram shows information about the weight of the bags of flour: 15 bags of flour weigh between 35 and 40 pounds. 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.). 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. What we need to do is look and see what area of the histogram this represents. 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. 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. The 55 – 65 pound category has the same width as the 30 – 40 pound category. In a bar chart, all of the bars are the same width and the only thing that matters is the height of the bar. 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). All we need to do now is work out how many small squares there are from 80 pounds upwards. The table shows the ages of 25 children on a school trip. GCSE QUESTIONS. Histograms Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. 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.

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