Onlinetuition.com SPM Mathematics
Question 3:Malware Internet company has 5 Internet channels labelled P, Q, R and S to send messages.Table 1 shows the number of messages that can be sent by each channel.Draw a graph with multiple edges and loops based on the given information. Hence, determine the sum of degrees.[3 marks]Solution:$$ \begin{aligned} \text { Sum of degrees } … Read more
Question 1:The time taken, t in hour, to mow a lawn varies directly as the area of a field, L in m2, and inversely as the number of workers, w. Given that 5 workers need 3 hours to mow the grasses of the field with area of 4 × 104 m2.(a) Find the equation that relate … Read more
Question 5: The table below shows the frequency distribution of the time spent by 50 swimmers in the pool in a swimming practice. Time (seconds) Frequency 35 – 39 5 40 – 44 8 45 – 49 9 50 – 54 15 55 – 59 11 60 – 64 2 (a) State the modal class. … Read more
Question 3: The data below shows the mass, in kg, of 50 students. (a) Copy and complete the table below based on the data above. (b) Based on the completed table above, (i) State the size of the class interval used in the table. (ii) Calculate the estimated mean of the mass of the … Read more
Question 1: The data below shows the age of 25 tourists who visited a tourist spot. (a) Copy and complete the table below based on the data above. (b) Based on the completed table above, (i) State the modal class. (ii) Calculate the mean age of the tourists.(c) For this part of the question, use … Read more
7.2.1 Mode and Mean of Grouped Data (A) Modal Class The modal class of grouped data is the class interval in the frequency table with the highest frequency. (B) Class Midpoint The class midpoint is the value of data that lies at the centre of a class. Class midpoint = Lower limit + Upper … Read more
7.2 Measures of Dispersion (Introduction) (A) Determine the range of a set of data 1. For an ungrouped data, Range = largest value – smallest value. 2. For a grouped data, Range = midpoint of the last class – midpoint of the first class. Example 1: Determine the range of the following data. (a) 720, 840, 610, … Read more
7.1.4 Cumulative Frequency Cumulative Frequency of a data or a class interval in a frequency table is obtained by determining the sum of its frequency with the total frequencies of all its previous data or class interval. (A) Ogive Ogive is a cumulative frequency graph which is obtained by plotting the cumulative frequency against … Read more
7.1.3 Frequency Polygons 1. A frequency polygon is a line graph that connects the midpoints of each class interval at the top end of each rectangle in a histogram. 2. A frequency polygon can be drawn from a (a) Histogram, (b) Frequency table 3. Steps for drawing a frequency polygon: Step 1: Add a … Read more
7.1.2 Histograms (A) Draw a histogram based on the frequency table of a grouped data 1. A histogram is a graphical representation of a frequency distribution. 2. A histogram consists of vertical rectangular bars without any spacing between them. 3. Steps for drawing a histogram (a) Determine the lower boundaries and upper boundaries … Read more