dn.fbsbx.com CHAPTER 2 EXERIE: EXERCISE: 1. The following are monthly gures on the number of mail (in thousands) that were dropped in the post ofce in two years. List the six possible systematic samples of size N=8 that can be taken from this population by starting with one of the rst six numbers and then taking each six number on the list. 2. Draw a histogram and frequency polygon for exercise 1. 3. A stratied sample of size n = 120 is to be taken from a population of size N = 8000, which consists of three strata of size N = 4000. N = 2400 and N = 1600. If the allocation is to proportional, how large a sample must be taken from each stratum? 4. Draw a proportional stratied random sample using the table of exercise 1. Determine the sample size using the sloven's formula N n _ 1+Ne2 5. A study was conducted to nd the distribution of fraternity members in colleges of a university. If the total population is 12,000 and the students are distributed by college as follows: Liberal Arts = 1,200: Commerce = 4.950: Engineering = 2.700: Science = 2350 and Education = 300, determine the sample using a) Simple random b) Stratied random 6. The following tables shows the number of hours it takes the employees of Hi-Tech Corporation to get to work. Constmct a pie chart of this percentage distribution: Number of Hours 7. The following table shows the score of 40 students in a 50-item test: 25 42 14 38 25 31 45 27 Human\" 30 35 32 43 31 4s 13 23 z: :2 0 fl] cdn.fbsbx.com Done 7. The following table shows the score of 40 students in a 50-item test: 25 42 14 38 25 31 45 27 16 8 44 36 30 36 37 39 30 35 32 43 31 48 13 28 29 39 32 19 32 23 34 24 20 27 17 31 20 26 28 44 a) Use the stem-and-leaf display of the above data. b) Construct a frequency distribution table showing the frequency of scores c) Construct the histogram and frequency polygon Study on the attitudes of 5 different religious sects toward artificial family planning in a barangay with population of 10,000 distributed as follows: Religion Frequency Catholic 3,650 Born Again Christian 2,120 Protestant 1,630 Iglesia NI Cristo 1920 7th Day Adventist 680 CHAPTER 3 EXERCISES 1. The number of incorrect answers on true-false test for random sample student of 10 students are 51, 63, 80, 75, 82, 63, 81, 63, 76 and 92. Find the. (a) mean (b) median (c) mode 2. A student got the following grades in 7 different subjects, 1.25 for mathematics; 1.50 for physics; 2.00 for English; 3.00 for chemistry; 2.75 for statistics; 1.25 for physical education; and 2.50 for history. Compute the weighted mean grade if the weight for the 7 subjects are 3, 5, 3, 4, 3, 2, and 3 respectively. 3. A food inspector examined a random sample of 5 cans of certain brand of canned goods to determine the percent of foreign impurities. The following data were recorded. 1.2, 1.8, 0.8, 1.3 and 1.8. find the measure of central tendency. (a) mean (b) median (c) mode 4. The reactions of a random sample of 10 rats to stimulant were recorded as 4.0, 2.6, 3.2, 4.1, 2.3, 3.5, 2.2, 2.3, 2.6 and 4.2 seconds. Calculate the: (a) mean (b) mediancdn.fbsbx.com Done 4. The reactions of a random sample of 10 rats to stimulant were recorded as 4.0, 2.6, 3.2, 4.1, 2.3, 3.5, 2.2, 2.3, 2.6 and 4.2 seconds. Calculate the: (a) mean (b) median (c) mode 5. Below is the frequency distribution of final examination scores in Basic math for BSPh 1- S. Complete the table and compute for the mean, median and mode. Class Interval Frequency 50-54 1 55-59 60-64 9 65-69 19 70-74 13 75-79 3 80-84 2 6. In determining the refractive index of a volatile oil, 40ovserbatons were made at 22 C and the following values were recorded. Compute for the mean, median and mode. Class Interval Frequency 1.57 - 1.59 4 1.54 - 1.56 9 1.51 - 1.53 14 1.48 - 1.50 10 1.45 - 1.47 3 7. The blood pressures of a group of 15 individuals were taken and recorded as follows. 125 119 115 120 119 110 120 119 115 120 115 110 125 110 124 Calculate the weighted arithmetic mean. 8. A bus is design to carry a maximum load of 2, 100 lbs. is it over loaded if at one time, it is loaded with 9men whose mean weight is 182 lbs. and 6 women whose mean weight is 131 lbs.? 9. A consumer testing company performed 6 test runs as the number of kilometers per lite consumed by the 3 latest passenger jeepney models. The results were as follows: (a) Jeep 1 7.2, 6.9, 8.5, 9.6, 10.8, 11.2 (b) Jeep 2 9.2, 11.90, 7.5, 8.1, 6.2, 9.0 (c) Jeep 3 8.6, 10.9, 11.0, 9.0, 6.1, 8.1 Which passenger Jeepney model performed best in the test 10. A study conducted on the records of the Land Transportation Office (LTO) shows 20 drivers belonging to 18-23 age groups received traffic violation receipt (TVR) for the firstdn.fbsbx.com consumed by the 3 latest passenger jeepney models. The results were as follows: (a) Jeep 1 7.2. 6.9. 8.5, 9.6. 10.8. 11.2 (b) Jeep 2 9.2, 11.90. 7.5. 8.1. 6.2. 9.0 (c) Jeep 3 8.6, 10.9, 11.0. 9.0, 6.1, 8.1 Which passenger Jeepney model performed best in the test 10.A study conducted on the records of the Land Transportation Ofce (LTO) shows 20 drivers belonging to 1823 age groups received trafc violation receipt (TVR) for the first quarter of the year. The 4. 2. 3. 1. 0. 1. 2. 4, 4, 2. 0. 0. 2. 1. 3. 4. 4. 3, 2. 1. Find the mode. Describe the kind of drivers in this particular age group based on the recorded data. 11 . In determining the refractive index of a volatile oil, 40ovserbatons were made at 22C and the following values were recorded. Compute for the mean, median and mode. 12.The following is the frequency distribution of the weights of 100 expectant mothers admitted in a hospital during a week (a). Draw a histogram of the distribution. (b). Draw a frequency polygon of the distribution. 13.0n Six consecutive days. the maintenance department received 7. 10. 9. 11, 13 and 7 service calls. Calculate s. 14. Find the variance. given: x = 45?. x2: 15.345. n = 14. 15. Here are the scores of Miss Universe candidate from 8 judges: 8.95. 8.60, 9.60. 9.10, 9.15, 9.25, 8.85 and 9.30. Find the standard deviation of the scores. 16. In a statistics class are 20 massoom students, 18 commerce students. and 12 science students. If the masscom students average 68 in the test, the commerce students averaged 75, and science students average 86 nd the standard deviation of the scores