LK-CKLDL (CHAPTER 6: DATA DESCRIPTION)

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1 LK-CKLDL Lembaran Kerja- Contoh Kerja Langkah Demi Langkah 1. Fahami contoh soalan dan langkah penyelesaiannya 2. Cuba selesaikan soalan lain menggunakan kaedah yang sama. (CHAPTER 6: DATA DESCRIPTION)

2 Mean, Variance, Median, Senarai Rumus Bab 6 x s ~ n 2 fx 1 f 1 x L m fx n F 2 f m 2 m1 C d 1 Mode, xˆ Lmo c d1 d2 s Coefficient of Variation, CV 100% x where Lm lower boundary of median class Fm 1 fm Lmo cumulative frequency of classes before median class frequency of median class lower boundary of modal class d1 difference between frequency of modal class and the class before d2 difference between frequency of modal class and the class after c class width f fx 2 PSPM 2011/2012 (1) The blood types O, A, B and AB for 50 randomly selected students are given as below. O AB A O A O A A A A O A AB A O A O O O O O B O A O B O A A B A O B O A A A O A O O O A A A B B O O AB a) Construct a frequency distribution table and find the mode for the given data. b) Can we find the mean and median value for this set of data? Justify your answer. Jawapan (1a) Blood Types Frequency O 21 A 20 B 6 AB 3 The mod is blood type O Jawapan (1b) No, because the data is qualitative.

3 PSPM 2009/2010 (2) A survey on 12 households on the amount (RM) spent on food per day in a certain residential area are given as follows Calculate the mean, median and mode. Hence, state the shape of the distribution. Untuk mencari nilai median kita mesti susun data mengikut susunan (menaik/menurun) Cari purata Untuk mencari nilai mean n 12 x fx fm x n n n x x x n Nilai mode ialah 35 (kerana kekerapan paling tinggi) Median 2 35 Atau boleh juga menggunakan kaedah mudah i- Bilangan data adalah GENAP (EVEN) ii- kita cari nilai separuh dari 12 so dapat 6 iii- kita cari purata sebutan ke 6 dan Median 2 35

4 Hence, state the shape of the distribution. PSPM 2008/2009 (3) The following table indicates the number of books bought by students in a Semester. Number of books Number of Students (a) Find the mean, median and mode. (b) Determine the percentage of students who bought books more than the mean value.

5 PSPM 2007/2008 (4) Marks obtained by 30 students in a test are shown in the table below. Marks Number of Students (a) Calculate the mean, median and mode. (b) State the shape of the distribution of the marks.

6 PSPM 2006/2007 (5) A sample consists of numbers 5, 9, 8, x, 11, 2, 8, 10, 4 and (x-1) has a mean 7.0, with constant x. Find the value of x. Hence, find the standard deviation. PSPM 2005/2006 (6) The following table shows the production of cars for April/ May 2004 for a sample of 40 days. Production (Unit) Number of Days Calculate the (a) mean. (b) standard deviation. (c) mode and interpret its meaning.

7 PSPM 2010/2011 (7) The ages (to the nearest year) of sample of women giving births at a clinic is given as follows Find (a) the mean, median and mode age of the women (b) the percentages of women whose age is older than the mean age.

8 PSPM 2012/2013 (8) Marks obtained by 10 students for a quiz are as follows PSPM 2012/2013 (9) The table below shows the annual income (RM 000) of 200 workers at ABX company. Calculate the mean, median and mode of the students marks. Hence, state the shape of the data distribution. Income (RM 000) Number of workers a) Calculate the mean, median and standard deviation of the workers annual income. b) Given the coefficient of variation for ABY company is 8.75%. Determine the annual income of workers from which company is more consistent.

9 PSPM 2011/2012 (10) The following frequency distribution table shows the speed in kilometers per hour (km/h) for cars travelling at KESAS highway. Speed (km/h) Frequency Calculate the mean, mode, median and standard deviation for the speed of the cars.

10 PSPM 2009/2010 (11) The following frequency table shows the total sales (RM 00) for 95 dealers of a direct selling company for the month of March Total Sales (RM 00) Number of Dealers 100 and less than and less than and less than and less than and less than and less than and less than (a) Calculate the mean and standard deviation for the dealers total sales in March (b) If the coefficient of variation for dealers total sales of April 2009 is 34.55%, determine which of the two months whereby the total sales are more consistent.

11

12 PSPM 2008/2009 (12) The following table shows the cumulative frequency distribution for the ages (years) of 80 customer entering a mini market on a particular day. Ages of Customers Cumulative Frequency (a) Calculate the mean and median. (b) State the skewness of the data distribution and give a reason for your answer.

13 PSPM 2007/2008 (13) The table below shows the frequency distribution of monthly income for workers in a certain factory. Monthly Income (RM) Number of Workers 400 and less than and less than and less than and less than and less than and less than Calculate the standard deviation of the worker s monthly income. Hence, calculate the coefficient of variation given that the mean of the workers monthly income is RM

14 PSPM 2006/2007 (14) The following frequency distribution table shows the consultation time (rounded to the nearest minute) needed by a doctor for a patient in a day. Consultation Time (minutes) Number of Patients (a) Calculate the mean, mode and median. (b) Using the answers in (a), determine the skewness of the data distribution.

15 PSPM 2003/2004 (15) The following table shows the amount of electric bills for January 2004 for a sample of 150 families. Amount of Electric Bill (RM) Number of Families 30 x x x x x x x x x Calculate the mean, mode and standard deviation for the amount of electric bills.

16 PSPM 2010/2011 (16) Table below shows the amount (RM) spent by a random sample of customers at a grocery store. Amount (RM) Number of Customer 40 and less than and less than and less than and less than and less than and less than and less than and less than Find the mean, mode, median and standard deviation the amount spent by the customer. Hence state the shape of the distribution of the amount spent by the customer.

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