Example. In this data set, the lower quartile is the length of the 40th snake (40 because 40 is \frac{1}{4} of 160. Length mm) or earthworms um ulative Frequency (I mark) 10 20 25 30 20 < 25 30 35 (iii) On the graph paper draw the cumulative frequency curve … Problems on Cumulative Frequency adapted from questions set in previous Mathematics exams. Percentage (p) Frequency: 5 ≤ p … Question 4: The lengths of snakes kept in Bob Exotic’s Snake Sanctuary were recorded. the point which has cumulative frequency of 13 should be plotted at 160 on the height axis, and so on. Exam Questions and mark scheme on Cumulative Frequency for Edexcel GCSE (9-1) Statistics. Step 1: Construct a cumulative frequency table for this data. The length of the 120th snake is approximately 3.5 metres. Delete Quiz. For the second cumulative frequency box, we need to add 24 to the 16 from the previous cumulative frequency box. Therefore the interquartile ranges is 2 metres. It should end up looking like an elongated ‘S’ shape. If we go up the y-axis and locate the 18th value, go across to the line and then down, we can see that is corresponds to a value of 1.6 hours. In other words, for the time interval of 0 - 20 minutes, you would go along the x-axis to 20 minutes (the maximum in this time range) and go upwards to the cumulative frequency value of 16. CUMULATIVE FREQUENCY [ESTIMATED TIME: 35 minutes] GCSE (+ IGCSE) EXAM QUESTION PRACTICE *P40660A01324* 13 Turn over 12 The cumulative frequency graph gives information about the lengths, in minutes, of 80 telephone calls. gcse questions. Videos, worksheets, 5-a-day and much more Print; Share; Edit; Delete; Host a game. Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers. Sum. Step 2: Using the cumulative frequency, plot a cumulative frequency graph. Cumulative Frequency Questions Q1. 59% average accuracy. Explore; My library; Reports; Classes; Settings; Memes; Collections; Profile; Log out; More Less; Plan: Basic. The lower quartile is half-way between the first value and the median. GCSE Higher: This Cumulative Frequency graph shows the heights of 58 Scouts. 2 0 obj After plotting our first point of (0,0), the next point is (1,23); the key thing to remember is that since the snake length data is grouped, we need to plot the highest value in each length band (so for the 0 metres – 1 metre band, we would plot the corresponding cumulative frequency total against 1 metre). Question 1: Below is a frequency table of data showing the amount of time people spent on a particular website in one day. 5 3 Solve problems using a cumulative frequency graph. Check them out below. Save. This can be represented on a graph by plotting the upper boundary of the groups. 7) Number Speed of cars 0-29 4. endstream Words / phrases like ‘compared to’ or ‘than’ always indicate what we are working out a percentage of.). To work out which value is the lower quartile, find \frac{1}{4} of the total number of values: The lower quartile is therefore the value of the 18th term. Mathematics. endobj ",#(7),01444'9=82. Diagram . A cumulative frequency distribution is ready to answer more or fewer questions. 8th - 10th grade . The next point we would plot would be the cumulative frequency value of 20 against £15,000 (the highest value in the £10,000 - £15,000 band). David Morse's Resources . Cumulative frequency is a running total of the frequencies. 3, 6b, 6d 8 Total Marks 18 y 6. By drawing a line up from £17,500 until it touches the line and then drawing a horizontal line to the y-axis, we should hit a cumulative frequency total of approximately 26. If we go up the y-axis and locate the 36th value, go across to the line and then down, we can see that is corresponds to a value of 3.2 hours. you will understand statistics by looking at free maths videos and example questions. 3 0 obj Edit. Question 2: Shown below is a cumulative frequency graph showing the number of hours per week people spent exercising. Because of the word ‘than’, it is the length of the snakes at Bob Exotic’s Snake Sanctuary that we should consider as the ‘original’ value. Stack Overflow Public questions & answers; Stack Overflow for Teams Where developers & technologists share private knowledge with coworkers; Jobs Programming & related technical career opportunities; Talent Recruit tech talent & build your employer brand; Advertising Reach developers & technologists worldwide; About the company ; Loading… Log in Sign up; current … Level 3 - Find averages from tables of discrete data. Median = 33 44 2 + = 77 2 =38.5 Example 3 A class collected data on … Once you have plotted all points, including the origin (0,0), join up all points with a smooth curve. GCSE Higher: The table shows the test marks for 31 students. Read our guide, 2.6\text{ m } – 1.78\text{ m} = 0.82\text{ m}, \dfrac{ \text{ difference}}{\text{ original value}}\times 100, \dfrac{0.82\text{ m}}{2.6\text{ m}}\times 100=31.5\%. a) Complete the cumulative frequency column in the table above. So, the first point we plot (after plotting (0,0), the origin) would be the cumulative frequency total of 8 against £10,000 (the top value in the £0 - £10,000 band). Worked Solution. The next box is the £0 - £15,000 box. [1 mark] Answer 3(b) Use the cumulative frequency diagram above to find the lower quartile. The Corbettmaths Practice Questions on Cumulative Frequency Graphs. • Cumulative Relative Frequency for 0 = _____ The median will be the mean of these. Practice. Frequency (i) Which class interval contains the median length ? 3(a) Use the cumulative frequency diagram to find the median amount spent. To find the length of the 120th snake, find 120 on the vertical cumulative frequency axis and find the corresponding length on the horizonal axis. Share practice link. endobj Continue this process until all values are calculated and your cumulative frequency table should look as follows: To draw the graph, we need to plot the cumulative frequency totals on the vertical axis (the cumulative frequency is always on the y-axis and the price in pounds on the x-axis. (2 marks) (ii) Complete the Cumulative frequency below. Worked Example . 19. 4, 6a 2 Find the upper and lower bounds to calculate the interquartile range. If we go up the y-axis and locate the 54th value, go across to the line and then down, we can see that is corresponds to a value of 5 hours. You will need to be able to work out the cumulative frequency as well as use this to plot a cumulative frequency graph. Have an account? Tracing paper may be used. The cumulative frequency graph shows the height of 150 Norway fir trees. Therefore the remaining cars must have a value which is greater than £17,500. Draw a box plot to represent this same information. Cumulative frequency is the number of times that anything up to and including that value (or group of values) appeared. Good luck a Flossing Frequency for Adults with Gum Disease Using the information in this table, match the correct answers to the questions below. You should join up the plotted points with a smooth curve. 5 0 obj To obtain the cumulative frequencies, we have to add the frequency … 1 The cumulative frequency table shows the height, in cm, of some tomato plants. Using this information, the resulting box plot will look like this: Question 3: The below table shows the number of cars at a showroom and the price brackets that they fall in to: a) Complete the cumulative frequency table, and draw a cumulative frequency graph to represent this data: b) the approximate median price of a second-hand car, c) an estimate for how many cars cost more than £17,500.
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