histograms gcse questions

Info. (Total for question 6 is 4 marks) 30 pigs weigh between 50 and 65 kg. Drawing of histograms, stem and leaf diagrams or box plots will not be . All we need to do now is work out how many small squares there are from 80 pounds upwards. 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 know from the first question, that 15 bags of flour weigh between 35 and 40 pounds. Worksheet. 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. 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. Histograms. The area of the 35 – 40 pounds bar (do not accidentally work out the area of the entire 30 – 40 pounds bar!) (a) Use the histogram to complete the grouped frequency table below. The table shows the ages of 25 children on a school trip. Histograms are only used for numerical continuous data that is grouped. The frequency of the data is measured by area not height. (b) Explain why your answer to part a is only an estimate. Covers all types of histogram questions. Square 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. If an 85 is the lowest score a student can earn to receive a B, how many students received at least a B? If we compare the area to the 30 – 40 pound category, its area is 25 small squares larger than the 30 – 40 pound category. Previous Scatter Graphs Practice Questions. 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. The histograms below show the scores for Mrs. Smith’s first and second block class at Red Rock Middle School. There were 54 people who could hold it for at least 1 minute. Frequency density O 90 100 110 120 130 140 150 160 170 180 190 200 Score a) Find the median score. 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. 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. 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 Histograms 4 files 04/10/2020. 5-a-day Workbooks. 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. 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). The histogram illustrates the results of the survey. 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. 44 people took between 0 and 1.5 minutes. Model answers & video solution for Histograms. Author: Created by Maths4Everyone. It will fall \frac{18}{35} of the way between 55 – 65 pounds. 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 Practice Questions Click here for Questions . Histograms are similar to bar charts apart from the consideration of areas. …..... (3) … Therefore the 55 – 65 pound category corresponds to 35 bags. Model answers & video solution for Histograms. Calculate an estimate of the value of T. [2 marks] GCSE Exam Questions on Histograms Covers all types of histogram questions. Exam Questions – Estimating the median from a histogram. GCSE Revision Cards. Worksheet. GCSE questions on histograms - mathsteaching.wordpress.com GCSE 9 - 1 exam questions - Maths4Everyone on TES Interpreting Frequency Graphs (textbook extract - includes histograms) - OUP Example Here is a table of data similar to the last one but with values of height grouped differently using inequalities. 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. 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). ADVANCED CHARTS AND GRAPHS > REVISION > GCSE QUESTIONS. GCSE_HistogramQuestions. We have a range of learning resources to compliment our website content perfectly. In order to make this work, when drawing a histogram, we plot frequency density on the y-axis rather than frequency. Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. Histograms. 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. GCSE 9-1 Exam Question Practice (Histograms) 4.9 55 customer reviews. This page looks at worked examples for Histograms. 3) Median score: Lower quartile: Submit Answer ... GCSE-Histograms. b) Find the lower quartile of the scores. Covers all types of histogram questions. There are many different lengths of routes to suit cyclists of all abilities. GCSE_HistogramQuestions. 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. 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. Search for: Contact us. registered in England (Company No 02017289) with its registered office at 26 Red Lion Histograms look like bar charts but have important differences. 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. a)  How many bags of flour weigh more than 80 pounds? Check your answers if you have time at the end. The 55 – 65 pound category has the same width as the 30 – 40 pound category. 1) View Solution Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. 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. This means that we need to create a new column on the data table for the frequency densities. The table shows the ages of 25 children on a school trip. 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 $ # 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. So where in the weight category does this fall? 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). Show all files. 6 The histogram shows information about the weight of pigs. In order to draw a histogram, we need to know the frequency density for each row of data. Histograms Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. Once this new column is completed, all that remains is to plot the histogram. Each time you take each quiz you'll be given 10 questions at random. b)  Explain why your answer or part a) is only an estimate. London WC1R 4HQ. Past paper exam questions organised by topic and difficulty for Edexcel IGCSE Maths. 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. Tes Global Ltd is Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) GCSE style questions arranged by topic Histograms Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. The frequency density is calculated by dividing each frequency by its associated class width. The height will be on the the x-axis and the frequency density on the y-axis. We can write this as \frac{18}{35}. Below is a grouped frequency table of the lengths of 71 pieces of string. 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. Which weigh more than 80 pounds use the histogram shows information about the weight a... To 5 bags by frequency column is completed, all that remains is plot. Column ’ is the total of the way between 55 – 65 pound category has the same as! Shows information about the weight of a bag of flour falls into frequency table ( b ) why... Is to plot the histogram shows information about the weight of the way 55. That 15 bags of flour: we can work out an estimate Note. 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