FOURTH QUARTER SUMMATIVE TEST MATHEMATICS 10 Name: _______________________________________________________Score: ___________________ Yr. & Section: ________________________________________ Date: ___________________ Test I. Multiple Choice: Read the following questions carefully. Choose the correct answer and shade the circle that corresponds to your answer. O O O a b c O O O O d O a b c d O a O a O a O b O b O b O c O c O c O d O d O d 3. O O O a b c O O O O d O 6. a c d O O O a b c O O O O d O a b c O O O a b c d O d 10. O O O O 11. a b c O O O a b c d O d 12. O a O a O c O c O d O d 13. O O O O 15. a d b O b O b b c 1. 2. 4. 5. 7. 8. 9. 14. The median score is also the a. 7th percentile b. 5th decile c. 3rd decile d. 1st quartile th Rochelle got a score of 55, which is equivalent to a 70 percentile rank in a mathematics test. Which of the following is NOT true? a. She scored above 70% of her c. If the passing mark is the 1st quartile, she classmates. passed the test. b. 30% of the class got scores of 55 and d. Her score is below the 5th decile. above The lower quartile is equal to a.50th percentile b. 25th percentile c. 2nd decile d. 3rd decile In the set of scores 14, 17, 10, 22, 19, 24, 8, 12 and 19, the median score is ________. a. 17 b. 15 c. 16 d. 13 In 70-item test, Melody got a score of 50 which is the third quartile. This means that a. She got the highest score. c. She surpassed 75% of his classmates. b. Her score is higher than 25 of his d. 75% of the class did not pass the test. classmates. Angie ranks 10th in a class of 40. Her percentile rank is a. 75 b. 90 c. 10 d. 25 The 1st quartile of the ages of 250 fourth year students is 16 years. Which of the following is true? a. Most of the students are below 16 c. 25% of the students are 16 years old. years old. b.75% of the students are 16 years old d. 150 students are younger than 16 years. and above. Mel’s score I a 75-item test was the median score. What is his percentile rank? a. 35th b. 60th c. 25th d. 75th When a distribution is divided into hundred equal parts, each score point that describes the distribution is called a __________. a. percentile b. decile c. quartile d. median In a 100-item test, the passing mark is the 3rd quartile. What does it imply? a. The students should answer at least 75 items correctly to pass the test. b. The students should answer at least 50 items correctly to pass the test. c. The students should answer at most 75 items correctly to pass the test. d. The students should answer at most 50 items correctly to pass the test. For items 11-14, consider the score distribution of 15 students given below: 83 72 87 79 82 77 80 73 86 81 79 82 79 74 74 The median score is _______________. a. 80 B. 82 C. 73 D. 79 The lower quartile is a. 74 b. 72 c. 86 d. 79 The value of the 2nd decile is ________. a. 74 b. 85 c. 72 d. 83 The median in the score distribution for items 11 to 14 can also be interpreted as a. seven students scored above 79 c. a. seven students scored below and seven students scored above 79 b. seven students scored below 79 d. fourteen students scored below 79 In a group of 55 examinees taking the 50-item test, Rachel obtained a score of 38 and 38 scores were above her. This implies that her score is __________________. a. the 38th b. at the upper c. the 55th percentile d. below the 4th decile percentile quartile O O O O a O a O a O a O a O c O c O c O c O c O d O d O d O d O d O a b c O O O a b c d O d 22. O O O O 23. a b c O O O a b c d O d 24. O O O O 25. a c d O O O O 26. a b c O O O d O 27. a b c d O a O a O a O O b O b O b O O c O c O c O O d O d O d O a b c O O O d O a O a O a O a d O d O d O d b O b O b O b O b O b b O b O b O b c O c O c O c 16. 17. 18. 19. 20. 21. 28. 29. 30. 31. 32. 33. 34. 35. For items 16 to 19, please refer to the Table A below: Table A Score Frequency Cumulative Cumulative Frequency Percentage (%) 40-45 6 18 100.00 35-39 5 12 66.67 30-34 3 7 38.89 25-29 4 4 22.22 In solving for the 60th percentile, the lower boundary to use is _________________. a. 34 b. 34.5 c. 39 d. 39.5 th What cumulative frequency should be used in solving for the 35 percentile? a. 4 b. 7 c. 12 d. 18 The 45th percentile is _________________. a. 33.4 b. 32.7 c. 30.8 d.35.6 The 50th percentile is a. 36.0 b. 37.0 c. 36.5 d. 37.5 th The 50 percentile is equivalent to a. 5th decile b. 2nd quartile c. mean score d. all of the above The test scores for a class of 50 students are computed. What is the location of the test score associated with the second decile? a. 20% b. 31 c. 10.2 d. 20.5 For a data set, the interquartile range is: a. the difference between the minimum c. the standard deviation. and maximum values. b. the difference between the 1st and d. the skewness of a distribution. 3rd quartiles. If the inter-quartile range of the group of numbers 0, 3, 7, 17, 30, x, 51, 70 is 41.5, find the value of x. (Assume the group of numbers are arranged in ascending order.) a. 41.5 b. 42 c. 46.5 d. 48.5 Which of the following sets of data has the largest inter-quartile range? a. -4, 18, 32, 6 b. 0, 10, -27, 3, -15 c. -1, -11, -31, -101, d. 5, 53, 47, 21, 1 -71, -61 Many professional schools require applicants to take a standardized test. Suppose that 1000 students write the test, and you ﬁnd that your mark of 63 (out of 100) was the 73rd percentile. This means a. At least 73% of the people got 63 or c. At least 270 people got 63 or better better. b. At least 270 people got 73 or better d. At least 27% of the people got 73 or worse A student discovers that his grade on a recent test was the72nd percentile. If 90 students wrote the test, then approximately how many students received a higher grade than he did? a. 65 b. 25 c. 72 d. 71 4. While computing mean of grouped data, we assume that the frequencies are : a. evenly distributed over all the classes c. centred at the upper limits of the classes b. centred at the class-marks of the d. centred at the lower limits of the classes classes The mean of the following data is : 10, 20, 30, 40, 50 : a. 15 b. 25 c. 35 d. 30 The number of declies in a data set is a. 10 b. 12 c. 99 d. 9 In case of open-ended classes, an appropriate measure of dispersion to be used is a. range b. quartile c. mean d. standard deviation . A researcher has collected the following sample data. 5 12 6 8 5 6 7 5 12 4 1 The median is a.5 b. 6 c. 7 d. 8 A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 The range is a. 1 b. 2 c. 10 d.12 . Find out the mean and median of 1, 2, 3, 6, 8. a. 4,6 b. 4,3 c. 4,2 d. 4,8 Find the mode of 3, 5, 6, 6, 5, 3, 5, 3, 6, 5, 3, 5, 7, 6, 5, 7, 5 a. 3 b. 5 c. 7 d. 6 Find the median and mode for the set of numbers 2, 2, 3, 6, 6, 6, 7, 8, 9. a. 3,3 b. 7,7 c.8,8 d. 6,6 O O O O a O a O a b O b O b c O c O c d O d O d O a O a O O b O b O O c O c O O d O d O a b c d O O O a b c O O O O d O a b c O O O d O 44. a b c O O O d O 45. a b c O O O d O 46. a b c O O O d O 47. a O a O c O c O d O d O a b c O O O a b c d O d b O b O 36. 37. 38. 39. 40. 41. For what value of x, the mode of the following data is 27? 25, 26, 27, 23, 27, 26, 24, x, 27, 26, 25, 25 a. 24 b. 25 c. 26 d. 27 The 75th percentile is referred to as the a. first quartile b. second quartile c. third quartile d.fourth quartile The first quartile a. contains at least one third of the data c. is the same as the 50th percentile elements b. is the same as the 25th percentile d. is the same as the 75th percentile For the data set 8, 12, 15, 20, 11, 5, 21, 0, what is the value of the seventh decile? a. 6.5 b. 11.5 c. 17.5 d. 15 The most frequently occurring value of a data set is called the a. range b. mode c. mean d. median The interquartile range is a. the 50th percentile 42. 43. 48. 49. 50 c. the difference between the largest and smallest values b. another name for the variance d. the difference between the third quartile and the first quartile . __________ quartile is also known as upper quartiles a. first b. second c. third d. fourth A student has seven statistics books open in front of him. The page numbers are as follows: 231, 423, 521, 139, 347, 400, 345. The second quartile for this set of numbers is a. 231 b. 347 c. 330 d. 423 A cyclist recorded the number of miles per day she cycled for 5 days. The recordings were as follows: 13, 10, 12, 10, 11. The 50th percentile for the number of miles she cycled per day is. a. 12.5 b. 11 c. 10 d. 11.5 An instructor recorded the following quiz scores (out of a possible 10 points) for the 12 students present: 7, 4, 4, 7, 2, 9, 10, 6, 7, 3, 8, 5. The 25th percentile for this set of scores is a. 4 b. 6 c. 6.5 d. 7.5 An instructor recorded the following quiz scores (out of a possible 10 points) for the 12 students present: 7, 4, 4, 7, 2, 9, 10, 6, 7, 3, 8, 5. The sixth decile for this set of scores is a. 9 b. 7.5 c. 6.5 d. 7 The following values are the ages of fifteen students in a statistics class: 18 21 25 21 28 23 21 19 24 26 21 24 18 27 23 The value of the first quartile for this set of data is a. 25 b. 23 c. 21 d. 22.5 Which of the following is not a measure of position? a. first quartile b. median. C. 4th decile d. mean When it is necessary to determine whether an observation from a set of data falls in the upper 25 percent or thc lower 75 percent of the ordered data set. which measure should be used? a.3rd quartile b. mean c. 1st quartile d. 70th percentile The 75th percentile of a data set is equivalent to a. the seventh declie of the data set. c. the second quartile of the data set b. the first quartile of the data set d. the third quartile of the data set. Prepared by: Noted: ANABEL C. DUMRIQUE Teacher III JOHANNA S. CAYANAN, Ed.D. Principal III