histograms gcse questions

Show all files. 34 / 50 Marks The Maths GCSE test scores of 280 students are shown in the histogram below. As a result, the bags he has received are of varying weights. Your completed histogram should look like the one below: Question 2: Below is a histogram showing how long people can hold their breath. Practice Questions; Post navigation. Example Here is a table of data similar to the last one but with values of height grouped differently using inequalities. b)  Explain why your answer or part a) is only an estimate. Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) GCSE style questions arranged by topic Histograms Advice •• Read each question carefully before you start to answer it. So where in the weight category does this fall? 1) View Solution Created: Oct 18, 2017| Updated: Jan 17, 2019, This carefully selected compilation of exam questions has. …..... (3) … If an 85 is the lowest score a student can earn to receive a B, how many students received at least a B? This is illustrated in red on the histogram below. 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. 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. 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.). The number of small squares between 20 and 40 is: (5 \times 32) + (5 \times 20) = 160 + 100 = 260. 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. GCSE Mathematics revision section looking at past paper video questions. 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. Worksheet. Histograms. Questions may involve the p det r att det finns mjlighet att lsa bara statistik p GCSE och A-level men de har . The tabulated data should look like the below: The total of the frequency column is the total number of riders. 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. Instructions Use black ink or ball-point pen. For more information please see the Edexcel GCSE Maths page. The histogram below shows information about how much time was spent in a supermarket by 100 shoppers. Videos, worksheets, 5-a-day and much more 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. A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. c) We know from the question that there are 185 bags of flour in total. ... GCSE-Histograms. 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. GCSE questions on histograms - mathsteaching.wordpress.com GCSE 9 - 1 exam questions - Maths4Everyone on TES Interpreting Frequency Graphs (textbook extract - includes histograms) - OUP 40 x KS3 Maths Homework Sheets / Booklet WITH ANSWERS!!!! 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}. Preview. Example. Model answers & video solution for Histograms. Conditions. To answer this question, we’re going to use the information to work out how much 1 small square of area is worth. Histograms are like bar charts with 2 key differences:. We know from the first question, that 15 bags of flour weigh between 35 and 40 pounds. 1. pdf, 963 KB. Histograms use a continuous horizontal scale which means the bars touch so the difference between them is zero. 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 are many different lengths of routes to suit cyclists of all abilities. If we compare the area to the 30 – 40 pound category, its area is 25 small squares larger than the 30 – 40 pound category. 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. Since 5 small squares represents a single bag of flour, then 200 squares represents 40 bags of flour. Frequency Tables [GCSE Questions] Frequency Tables [Solutions] Cumulative Frequency [GCSE Questions] Cumulative Frequency [Solutions] Histograms [GCSE Questions] Histograms [Solutions] Show Solutions; Download; Full Screen < > Draw a histogram for the following information. 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. Each time you take each quiz you'll be given 10 questions at random. Covers all types of histogram questions. (a) Work out an estimate for the number of pigs which weigh more than 80kg. 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). Histograms is a Higher tier topic. We have a range of learning resources to compliment our website content perfectly. Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. b) Find the lower quartile of the scores. Worksheet. (a) Use the histogram to complete the grouped frequency table below. A) 4 C) 6 B) 10 D) 15 7. Search for: Contact us. Calculate an estimate of the value of T. [2 marks] GCSE Exam Questions on Histograms Histograms A histogram looks like a bar chart , except the area of the bar , and not the height, shows the frequency of the data . Tracing paper may be used. The table shows the ages of 25 children on a school trip. Other questions on the subject: Mathematics. Info. b)  Find an estimate for the mean journey length to the nearest kilometre. Check your answers if you have time at the end. The table shows the ages of 25 children on a school trip. Between 0 and 1.5 minutes includes all of the first bar and some of the second. H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up In order to make this work, when drawing a histogram, we plot frequency density on the y-axis rather than frequency. KS2/3/4:: Data Handling & Probability:: Data Representation. 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. This website and its content is subject to our Terms and The histogram shows information about the weight of the bags of flour: 15 bags of flour weigh between 35 and 40 pounds. 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). (b) Explain why your answer to part a is only an estimate. Our collection of revision videos on histograms will help: Histogram Revision Videos • Try to answer every question. 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). The area of the 35 – 40 pounds bar (do not accidentally work out the area of the entire 30 – 40 pounds bar!) Created: Oct 18, 2017 | Updated: Jan 17, 2019. Click here for Answers . 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. Mathematics, 21.06.2019 17:00, adreyan6221. 3) Median score: Lower quartile: Submit Answer Work out how many could hold their breath for between 20 and 40 seconds. About this resource. (Total for question 6 is 4 marks) 30 pigs weigh between 50 and 65 kg. The first row of the table has a plant height from 0 - 10cm and a frequency of 6. 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. This means that we need to create a new column on the data table for the frequency densities. 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. Tes Global Ltd is Use this quiz to test yourself. My Tweets. Histograms Practice Questions Click here for Questions . 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. 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. Histograms are only used for numerical continuous data that is grouped. It will fall \frac{18}{35} of the way between 55 – 65 pounds. • Keep an eye on the time. We know from the first question that 5 small squares corresponds to 1 bag, so 25 small squares will correspond to 5 bags. We are now in a position to calculate the estimated weight of the 93^{\text{rd}} bag (this is the hard bit!). Covers all types of histogram questions. – use this as a guide as to how much time to spend on each question. registered in England (Company No 02017289) with its registered office at 26 Red Lion Model answers & video solution for Histograms. GCSE_HistogramQuestions. In a histogram, the area is the important thing. Once this new column is completed, all that remains is to plot the histogram. Histograms are similar to bar charts apart from the consideration of areas. All we need to do is rearrange the frequency density formula so that we can work out the frequency. Author: Created by Maths4Everyone. 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. Therefore the 55 – 65 pound category corresponds to 35 bags. A histograms is a form of bar chart; however, there are two main differences. 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. Histograms are like bar charts with 2 key differences: Make sure you are happy with the following topics before continuing. The Corbettmaths video tutorial on Reading Histograms. can be calculated as follows: We can therefore conclude that 15 bags of flour is represented by 75 small squares. In order to do this, we will need to take a frequency density reading from the histogram for the 2 length categories in question. GCSE 9-1 Exam Question Practice (Histograms) 4.9 55 customer reviews. 6 The histogram shows information about the weight of pigs. GCSE Revision Cards. 1. View all Products, Not sure what you're looking for? who took between 3 and 4 minutes to do the quiz. GCSE QUESTIONS. Histograms. E.g.1. 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 total of the ‘midpoint multiplied by frequency column’ is the total distance travelled by all of the riders. GCSE Histograms. London WC1R 4HQ. 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). What we need to do is look and see what area of the histogram this represents. Download all files (zip) GCSE-Histograms.pptx ; GCSE_HistogramQuestions.pdf ; GCSE_HistogramQuestions.docx ; QQQ-GCSEHistograms.docx . 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). There were 54 people who could hold it for at least 1 minute. 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? 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. In a bar chart, all of the bars are the same width and the only thing that matters is the height of the bar. Note that these questions are sorted in date order (most recent questions first). 5-a-day Workbooks. Square 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 histogram below shows this information: a)  Estimate the number of cyclists who rode for 30 kilometres or less. 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. 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). Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. GCSE_HistogramQuestions. Next Bar Charts, Pictograms and Tally Charts Practice Questions. a)  The key piece of information in this question is that 15 bags of flour weigh between 35 and 40 pounds. Histograms look like bar charts but have important differences. Past paper exam questions organised by topic and difficulty for Edexcel IGCSE Maths. 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. Questions in other subjects: Mathematics, 23.07.2019 00:30. docx, 615 KB. 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). In the 0 – 20 kilometres category, the 80 riders could have cycled 1 kilometre or 19 kilometres. [2] Name: Total Marks: Work out how many people took between 3 and 4 minutes. Stock Market Data Analysis Project 2 files 24/02/2020. a)  How many bags of flour weigh more than 80 pounds? Dividing the frequency of the first class by its width, we get, \text{frequency density } =\dfrac{8}{20-0} = 0.4. 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 frequency density for each group is found using the formula: \text{frequency density} = \dfrac{\text{frequency}}{\text{class width}}. We can write this as \frac{18}{35}. b)  The answer to part a) can only be an estimate because we are dealing with grouped data. Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. 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. 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). Drawing of histograms, stem and leaf diagrams or box plots will not be . c)  What is the median weight of a bag of flour? 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. … The height will be on the the x-axis and the frequency density on the y-axis. Histograms Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. 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. GCSE Histograms 4 files 04/10/2020. All we need to do now is work out how many small squares there are from 80 pounds upwards. This is illustrated in green on the graph below. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. It’s the area (as opposed to the height) of each bar that tells you the frequency of that 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. Below is a histogram showing the times taken to complete a quiz. 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. We will therefore need to work out which weight band the 93^{\text{rd}} bag of flour falls into. Powerpoint presentation and associated worksheets. This page looks at worked examples for Histograms. 2. 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. Previous Scatter Graphs Practice Questions. The resources include revision questions for KS2 SATs and GCSE. 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. Below is a grouped frequency table of the lengths of 71 pieces of string. Frequency density O 90 100 110 120 130 140 150 160 170 180 190 200 Score a) Find the median score. Covers all types of histogram questions. The histogram below shows the scores for Mrs. Smith’s first block class at Red Rock Middle School. 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.

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