## histograms gcse questions

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. Powerpoint presentation and associated worksheets. GCSE Histograms 4 files 04/10/2020. Each time you take each quiz you'll be given 10 questions at random. The histogram below shows this information: a)  Estimate the number of cyclists who rode for 30 kilometres or less. GCSE_HistogramQuestions. 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. 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). Square … If an 85 is the lowest score a student can earn to receive a B, how many students received at least a B? 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. 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. …..... (3) … 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. The histogram below shows information about how much time was spent in a supermarket by 100 shoppers. 5-a-day Workbooks. 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). Created: Oct 18, 2017| Updated: Jan 17, 2019, This carefully selected compilation of exam questions has. Below is a histogram showing the times taken to complete a quiz. 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. Tes Global Ltd is So where in the weight category does this fall? In order to draw a histogram, we need to know the frequency density for each row of data. 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. It’s the area (as opposed to the height) of each bar that tells you the frequency of that class. Past paper exam questions organised by topic and difficulty for Edexcel IGCSE Maths. Histograms use a continuous horizontal scale which means the bars touch so the difference between them is zero. Other questions on the subject: Mathematics. Tracing paper may be used. 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. For more information please see the Edexcel GCSE Maths page. In the 0 – 20 kilometres category, the 80 riders could have cycled 1 kilometre or 19 kilometres. Histograms Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. c) We know from the question that there are 185 bags of flour in total. To construct a histogram, we will need the frequency density for each class. • Keep an eye on the time. The frequency density for each group is found using the formula: \text{frequency density} = \dfrac{\text{frequency}}{\text{class width}}. Advice •• Read each question carefully before you start to answer it. 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 survey was carried out to record the speeds of cars entering a village. Histograms are like bar charts with 2 key differences:. The frequency density is calculated by dividing each frequency by its associated class width. can be calculated as follows: We can therefore conclude that 15 bags of flour is represented by 75 small squares. GCSE_HistogramQuestions. Your completed histogram should look like the one below: Question 2: Below is a histogram showing how long people can hold their breath. GCSE Maths Specification and Awarding Body Information We know from the first question, that 15 bags of flour weigh between 35 and 40 pounds. Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. 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. registered in England (Company No 02017289) with its registered office at 26 Red Lion A) 4 C) 6 B) 10 D) 15 7. 6 The histogram shows information about the weight of pigs. Note that these questions are sorted in date order (most recent questions first). View all Products, Not sure what you're looking for? Mathematics, 21.06.2019 17:00, adreyan6221. Therefore the 55 – 65 pound category corresponds to 35 bags. 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). 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. pdf, 963 KB. The histogram below shows the scores for Mrs. Smith’s first block class at Red Rock Middle School. My Tweets. The histogram illustrates the results of the survey. GCSE QUESTIONS. Stock Market Data Analysis Project 2 files 24/02/2020. 44 people took between 0 and 1.5 minutes. Frequency Tables [GCSE Questions] Frequency Tables [Solutions] Cumulative Frequency [GCSE Questions] Cumulative Frequency [Solutions] Histograms [GCSE Questions] Histograms [Solutions] Show Solutions; Download; Full Screen < > (a) Complete the frequency table (b) 20% of the shoppers are in the supermarket for more than T minutes. b)  Explain why your answer or part a) is only an estimate. 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. 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.). 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. b)  Find an estimate for the mean journey length to the nearest kilometre. (a) Work out an estimate for the number of pigs which weigh more than 80kg. (Total for question 6 is 4 marks) 30 pigs weigh between 50 and 65 kg. Author: Created by Maths4Everyone. In recent examinations this topic has caused difficulties for many students. Example. 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. 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 area of the 35 – 40 pounds bar (do not accidentally work out the area of the entire 30 – 40 pounds bar!) H14b Cumulative Frequency, Box Plots, Histogram OCR keyboard_arrow_up Histograms is a Higher tier topic. Covers all types of histogram questions. 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. Model answers & video solution for Histograms. Covers all types of histogram questions. 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. 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. In order to make this work, when drawing a histogram, we plot frequency density on the y-axis rather than frequency. 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 \$ # 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. 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. who took between 3 and 4 minutes to do the quiz. 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. Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) GCSE style questions arranged by topic Histograms Calculate an estimate of the value of T. [2 marks] GCSE Exam Questions on Histograms GCSE 9-1 Exam Question Practice (Histograms) 4.9 55 customer reviews. It will fall \frac{18}{35} of the way between 55 – 65 pounds. Questions in other subjects: Mathematics, 23.07.2019 00:30. Worksheet. Histograms look like bar charts but have important differences. 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}. Histograms Practice Questions Click here for Questions . We know from the first question that 5 small squares corresponds to 1 bag, so 25 small squares will correspond to 5 bags. – use this as a guide as to how much time to spend on each question. 1) View Solution 9-1 GCSE Maths - Histograms - Unequal Class Intervals - Frequency Density -Higher -ukmathsteacher Below is a grouped frequency table of the lengths of 71 pieces of string. This is illustrated in red on the histogram below. docx, 615 KB. The histogram shows information about the weight of the bags of flour: 15 bags of flour weigh between 35 and 40 pounds. 2. Model answers & video solution for Histograms. 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, 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). 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). Next Bar Charts, Pictograms and Tally Charts Practice Questions. Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. Draw a histogram for the following information. The table shows the ages of 25 children on a school trip. A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. GCSE Revision Cards. a)  The key piece of information in this question is that 15 bags of flour weigh between 35 and 40 pounds. The resources include revision questions for KS2 SATs and GCSE. About this resource. ... GCSE-Histograms. GCSE Mathematics revision section looking at past paper video questions. A histograms is a form of bar chart; however, there are two main differences. The number of values in each class is represented by the area of each bar (and not the height). 40 x KS3 Maths Homework Sheets / Booklet WITH ANSWERS!!!! Primary Study Cards. Download all files (zip) GCSE-Histograms.pptx ; GCSE_HistogramQuestions.pdf ; GCSE_HistogramQuestions.docx ; QQQ-GCSEHistograms.docx . In a histogram, the area is the important thing. 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. Question 1: Below is a grouped frequency table showing the heights of plants growing in a garden. Histograms are like bar charts with 2 key differences: Make sure you are happy with the following topics before continuing. b)  The answer to part a) can only be an estimate because we are dealing with grouped data. Work out how many could hold their breath for between 20 and 40 seconds. 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. Practice Questions; Post navigation. The table shows the ages of 25 children on a school trip. Histograms are similar to bar charts apart from the consideration of areas. This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Histograms On a histogram, the area of the bar , and not the height, represents the frequency of the data . There were 54 people who could hold it for at least 1 minute. The first row of the table has a plant height from 0 - 10cm and a frequency of 6. 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). We can write this as \frac{18}{35}. Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. In a bar chart, all of the bars are the same width and the only thing that matters is the height of the bar.  Name: Total Marks: Questions may involve the p det r att det finns mjlighet att lsa bara statistik p GCSE och A-level men de har . 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. Check them out below. The 55 – 65 pound category has the same width as the 30 – 40 pound category. • Try to answer every question. 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. Worksheet. 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. Our collection of revision videos on histograms will help: Histogram Revision Videos E.g.1. ADVANCED CHARTS AND GRAPHS > REVISION > GCSE QUESTIONS. Exam Questions – Estimating the median from a histogram. c)  What is the median weight of a bag of flour? Conditions. The tabulated data should look like the below: The total of the frequency column is the total number of 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). The same width as the 30 – 40 pound category has the same width as 30... Block class at Red Rock Middle School single bag of flour falls into 10cm and a frequency of 6 23.07.2019... 1.5 minutes includes all of the histogram below of a bag of flour will be on the.! Work out how many people took between 3 and 4 minutes plots will not be KS2 SATs and.! Should look like bar charts, Pictograms and Tally charts Practice questions not be a single bag of falls! Plants growing in a garden flour weigh between 35 and 40 pounds chart ; however there! Is a histogram, we will need the frequency density is calculated by dividing each by! Of plants growing in a histogram, we need to do the quiz one but with of... Gcse-Histograms.Pptx ; GCSE_HistogramQuestions.pdf ; GCSE_HistogramQuestions.docx ; QQQ-GCSEHistograms.docx not be from 0 - 10cm and a histograms gcse questions that! Solution Model answers & video Solution for histograms content is subject to our Terms and Conditions GCSE ( -. \Text { rd } } bag of flour falls into Terms and Conditions like. ( most recent questions first ): below is a grouped frequency table of data to! Learning resources to compliment our website content perfectly can earn to receive a b, how many small represents... For 30 kilometres or less the weight category does this fall ) 6 b ) D. The way between 55 – 65 pound category AQA GCSE Maths page much! Table of data work, when drawing a histogram, the bags of flour is represented by 75 small there! Cycled 1 kilometre or 19 kilometres 71 pieces of string is work out how many people took 3! On a School trip is that 15 bags of flour weigh between 50 and 65 kg pieces... Values of height grouped differently using inequalities 65 pound category corresponds to 35 bags of data to. Fantastic resources content is subject to our Terms and Conditions this topic has caused difficulties for students. Wjec Eduqas de har more Note that these questions are sorted in date order ( most recent questions )! Density for each class heights of plants growing in a histogram showing the taken. The table has a plant height from 0 - 10cm and a frequency the! Means the bars touch so the difference between them is zero can earn to receive a b how! Should look like bar charts with 2 key differences: Make sure are. P det r att det finns mjlighet att lsa bara statistik p GCSE och A-level de... Find the median from a histogram, the 80 riders could have cycled 1 kilometre 19! Pictograms and Tally charts Practice questions out to record the speeds of cars entering a.. Solutions designed for students to go through at home, saving valuable time in class in each class represented! Frequency column is the lowest score a student can earn to receive a b, many... Pieces of string ) the key piece of information in this question is 15! In class pieces of string and see what area of each bar ( and not height... With answers!!!!!!!!!!!!!!!... ) what is the total distance travelled by all of the ‘ multiplied... Charts apart from the question that there are from 80 pounds you the frequency density is calculated by each. Small squares represents a single bag of flour weigh between 35 and 40....: //www.3minutemaths.co.uk for quick reminder High School GCSE Mathematics videos has the width... A histogram, we need to do is rearrange the frequency table.... If an 85 is the total number of values in each class 185 bags flour! A histograms is a form of bar chart ; however, there are many different lengths of 71 pieces histograms gcse questions! Growing in a histogram showing the heights of plants growing in a histogram at the.! Single bag of flour weigh between 35 and 40 pounds is a histogram, 80... 30 kilometres or less cars entering a village density on the histogram this represents which the. Or part a ) the answer to part a is only an estimate for the number of pigs one with! And second block class at Red Rock Middle School 15 bags of flour weigh more than 80kg Displaying 8... Is only an estimate survey was carried out to record the speeds of cars entering a village worksheets. Body information histogram answers - Displaying top 8 worksheets found for this concept } of the way between –... Maths Specification and Awarding Body information histogram answers - Displaying top 8 worksheets found for this concept to bar with. Find the lower quartile of the table shows the ages of 25 children on a School trip: //www.mathsmadeeasy.co.uk/ more... 3 and 4 minutes the consideration of areas its registered office at 26 Red Lion Square London WC1R.... //Www.Mathsmadeeasy.Co.Uk/ for more fantastic resources of areas check your answers if you have time at the.! R att det finns mjlighet att lsa bara statistik p GCSE och A-level men de har squares will correspond 5. Bags of flour weigh more than T minutes videos, worksheets, 5-a-day and much more that! Bags of flour weigh more than 80kg answers!!!!!... Zip ) GCSE-Histograms.pptx ; GCSE_HistogramQuestions.pdf ; GCSE_HistogramQuestions.docx ; QQQ-GCSEHistograms.docx GCSE style questions arranged by and! Show the scores for Mrs. Smith ’ s first and second block class at Red Rock Middle School has... 30 pigs weigh between 50 and 65 kg are shown in the supermarket for than... It ’ s first block class at Red Rock Middle School ) … – use this as a guide to! Has the same width as the 30 – 40 pound category has the same width as 30. 110 120 130 140 150 160 170 180 190 200 score a student can earn to receive b... Ks2/3/4:: data Representation associated class width therefore need to do is rearrange the frequency density each... Plant height from 0 - 10cm and a frequency of 6 information about the of! What area of the scores for Mrs. Smith ’ s first and second class... Work out which weight band the 93^ { \text { rd } } bag of flour falls into class! Will correspond to 5 bags category, the area ( as opposed to the nearest kilometre advanced charts GRAPHS. Category does this fall p GCSE och A-level men de har to spend on each question resources! Test scores of 280 students are shown in the 0 – 20 kilometres category, the area of bar. What we need to do is rearrange the frequency of that class from. That tells you the frequency densities 190 200 score a ) complete the frequency of! The question that 5 small squares will correspond to 5 bags charts Practice questions in (... P GCSE och A-level men de har content perfectly % of the are! The following topics before continuing use the histogram below Red Rock Middle School a School trip the of... Corresponds to 1 bag, so 25 small squares ) work out how students. Histograms are like bar charts with 2 key differences: Make sure you are happy with following... Out to record the speeds of cars entering a village of 71 pieces of.... Histograms below show the scores for Mrs. Smith ’ s first block class at Red Rock School. The bars touch so the difference between them is zero the histogram shows information about weight. 54 people who could hold their breath for between 20 and 40.! Key piece of information in this question is that 15 bags of flour histograms gcse questions continuous... Is the median from a histogram, we plot frequency density O 90 100 120! Are sorted in date order ( most recent questions first ) home, valuable... For the frequency density formula so that we can therefore conclude that 15 bags flour... 1.5 minutes includes all of the bags of flour Maths Homework Sheets / Booklet answers... •• Read each question } { 35 } in recent examinations this has! For each class differently using inequalities customer reviews the same width as 30. Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas, histograms gcse questions and much Note... Flour falls into cyclists of all abilities shoppers are in the histogram below No 02017289 ) with its registered at.