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)
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.
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 18 25 18 38 60 71 22 28 35 35 35 35 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) 18 18 22 25 28 35 35 35 35 38 60 71 Cari purata Untuk mencari nilai mean n 12 x fx fm x n n n x 18 25 18 38 60 71 22 28 35 35 35 35 420 x x n 420 12 35 Nilai mode ialah 35 (kerana kekerapan paling tinggi) 35 35 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 7 18 18 22 25 28 35 35 35 35 38 60 71 35 35 Median 2 35
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 1 2 3 4 5 6 7 Number of Students 2 10 1 4 3 3 2 (a) Find the mean, median and mode. (b) Determine the percentage of students who bought books more than the mean value.
PSPM 2007/2008 (4) Marks obtained by 30 students in a test are shown in the table below. Marks Number of Students 15 4 16 6 17 5 18 8 19 7 (a) Calculate the mean, median and mode. (b) State the shape of the distribution of the marks.
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 50-54 8 55-59 12 60-64 8 65-69 5 70-74 4 75-79 3 Calculate the (a) mean. (b) standard deviation. (c) mode and interpret its meaning.
PSPM 2010/2011 (7) The ages (to the nearest year) of sample of women giving births at a clinic is given as follows. 27 28 28 29 30 30 31 32 36 37 Find (a) the mean, median and mode age of the women (b) the percentages of women whose age is older than the mean age.
PSPM 2012/2013 (8) Marks obtained by 10 students for a quiz are as follows. 15 12 10 13 8 17 20 8 5 11 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 60-64 20 65-69 10 70-74 40 75-79 50 80-84 40 85-89 40 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.
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 80-89 14 90-99 41 100-109 21 110-119 16 120-129 8 Calculate the mean, mode, median and standard deviation for the speed of the cars.
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 2009. Total Sales (RM 00) Number of Dealers 100 and less than 150 5 150 and less than 200 12 200 and less than 250 18 250 and less than 300 28 300 and less than 350 15 350 and less than 400 10 400 and less than 450 7 (a) Calculate the mean and standard deviation for the dealers total sales in March 2009. (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.
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 15-19 8 20-24 20 25-29 38 30-34 58 35-39 70 40-44 76 45-49 80 (a) Calculate the mean and median. (b) State the skewness of the data distribution and give a reason for your answer.
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 500 9 500 and less than 600 15 600 and less than 700 20 700 and less than 800 25 800 and less than 900 18 900 and less than 1000 13 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 RM717.00.
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 5-9 5 10-14 8 15-19 9 20-24 3 25-29 5 (a) Calculate the mean, mode and median. (b) Using the answers in (a), determine the skewness of the data distribution.
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 40 5 40 x 50 10 50 x 60 14 60 x 70 16 70 x 80 24 80 x 90 30 90 x 100 21 100 x 110 18 110 x 120 12 Calculate the mean, mode and standard deviation for the amount of electric bills.
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 60 5 60 and less than 80 7 80 and less than 100 7 100 and less than 120 18 120 and less than 140 23 140 and less than 160 14 160 and less than 180 10 180 and less than 200 16 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.