2013

ADDITIONAL MATHEMATICS PROJECT WORK 2013

A total of 34,826 students are expected to sit for their SPM examination in Sabah this year. In preparation for the SPM examination, all schools will conduct a series of examinations/tests. After every examination, the school examination secretary will analyze the marks for every subject to determine the average grade of the subjects and the average school grade. This data will indicate the performance of the school.

PART 1: 1. 2. List the importance of data analysis in daily life. (a) Specify (i) three types of measure of central tendency (ii) at least two types of measure of dispersion For each type of measure of central tendency stated in (a), give examples of their uses in daily life.

(b)

PART 2: 1. 2. Get your class marks of any subject in one examination/test. Attach the mark sheet. Calculate the (a) (b) (c) (d) mean median mode standard deviation

for the above marks.

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Additional Mathematics Project Work

2013

3.

Construct a frequency distribution table as in Table 1 which contains at least five class intervals of equal size. Choose a suitable class size. Class Interval (Marks) Frequency

Table 1 (a) From Table 1, find the (i) (ii) (iii) (iv) (v) mean mode median (at least two methods) standard deviation (at least two methods) interquartile range (at least two methods)

(b) Based on your answers from 3(a) above, state the most appropriate measure of central tendency that reflect the performance of your class. Give your reasons. (c) Measure of dispersion is a measurement used to determine how far the values of data in a set of data are spread out from its average value. Explain the advantages of using standard deviation compared to interquartile range as the better measure of dispersion. 4. Ungrouped data and grouped data have been used to obtain the mean and standard deviation in question (2) and (3) respectively. (a) Determine which type of data gives a more accurate representation. Give your reasons. (b) State the conditions when grouped data and ungrouped data are preferred.

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Additional Mathematics Project Work

2013

PART 3: Based on your grouped data, answer the following questions. 1. Your teacher will add 3 marks for each student in your class for completing all their assignments. Make a conjecture for the new values of the following: (a) (b) (c) (d) (e) mean mode median interquartile range standard deviation

Verify your answers using ICT. 2. A new student has just enrolled in your class. The student scored 97% in his/her former school. If the student’s mark is taken into account in the analysis of your school examination/test, calculate the new mean and the new standard deviation.

FURTHER EXPLORATION 1. The top 20% of the students in your class will be awarded by the subject teacher. Calculate the lowest mark for this group of students by using graphical and calculation methods. Mr. Ma’s class scored a mean of 76.79 and a standard deviation of 10.36 in the same examination. Compare the achievements of your class with Mr. Ma’s class. Give your comments.

2.

REFLECTION Reflect on your findings. Give suggestions on how to improve your class performance. What moral values did you practice? Represent your opinions or feelings creatively through usage of symbols, illustrations, drawing or even in a song.

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