 ## 7.7.4 Measures of Dispersion for Grouped Data, SPM Paper (Long Questions)

Question 7:Diagram below shows the marks obtained by a group of 30 students in a history test.(a) Using data in diagram above and a class interval of 5 marks, complete the table in the answer space.(b) Based on the completed table in part (a)(i) find the modal class,(ii) calculate the mean mark obtained by the … Read more

## 7.7.3 Measures of Dispersion for Grouped Data, SPM Paper (Long Questions)

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

## 7.7.2 Measures of Dispersion for Grouped Data, SPM Paper (Long Questions)

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

## 7.7.1 Measures of Dispersion for Grouped Data, SPM Paper (Long Questions)

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

## 7.6 Measures of Dispersion

7.6 Measures of Dispersion   (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, 980, … Read more

## 7.5 Cumulative Frequency

7.5 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

## 7.4 Frequency Polygons

7.4 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

## 7.3 Histograms with Class Interval of the Same Size

7.3 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

## 7.2 Mode and Mean of Grouped Data

7.2 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

## 7.1 Class Intervals

7.1 Class Interval 1. Data that consist of the measurement of a quantity can be grouped into few classes and the range of each class is known as the class interval.     (A) Class Limits and Boundaries   Lower Limit and Upper Limit 2. For class interval, for example 30 – 39, the smaller value … Read more