Math-10-quarter-4.docx

Republic of the Philippines Department of Education DIVISION OF LANAO DEL NORTE Fourth Quarterly Examination Mathematics 10 SY 2017 - 2018

Name: ___________________________________________________ Date: _________________ Grade & Section____________________________________________ Score: ________________ I. MULTIPLE CHOICE: Read each item carefully and write the letter of the correct answer on the blank provided. ______1. The upper quartile is equal to A. 50th percentile C. 2nd decile B. 25th percentile D. 3rd quartile ______2. Which of the following does not belong to the group? 2𝑁 50𝑁 A. 4 C. 100 B.

5𝑁

D.

10

3𝑁 4

______3. Kristine got a score of 55, which is equivalent to a 70th percentile rank in a mathematics test. Which of the following is NOT true? A. She scored above 70% of her classmates. B. Thirty percent of the class got scores of 55 and above. C. If the passing mark is the first quartile, she passed the test. D. Her score is below the 5th decile. _____4. The lower quartile is equal to A. 50th percentile C. 2nd decile B. 25th percentile D. 3rd quartile _____5. The following are the test scores of a random sample of eleven (11) students. 8, 23, 18, 9, 16, 25, 12, 10, 21, 15, and 11. Find the 40th percentile or P40. A. 10 C. 15 B. 12 D. 16 For items 6 to 9, please refer to the table below. Class Interval Scores 40 – 45 35 – 39 30 – 34 25 - 29

Frequency

TABLE 1 Cumulative Frequency

6 5 3 4

18 12 7 4

Cumulative Percentage (%) 100.00 66.67 38.89 22.22

______ 6. What class interval has the highest frequency? A. 40 – 45 C. 30 – 34 B. 35 – 39 D. 25 – 29 _______7. In solving for the 60th percentile, the lower boundary to use is _________. A. 39.5 C. 34.5 B. 39 D. 34 _______8. What cumulative frequency should be used in solving for the 35th percentile? A. 18 C. 7 B. 12 D. 4 _______9. The 45th percentile is ____________. A. 30.8 C. 33.4

B. 32.7 D. 35.6 For items 10 to 12, consider the score distribution of 15 students given below: 85 74 89 81 84 79 82 75 88 83 81 84 81 76 76 _______10. The lower quartile is ________________. A. 74 C. 81 B. 76 D. 88 _______11. The median score is _______________. A. 75 C. 82 B. 81 D. 84 _______12. In a 40-item test, Jenny got a score of 30 which is the third quartile. This means that A. She got the highest score. B. Her score is higher than 25 of his classmates. C. She surpassed 75% of his classmates D. Seventy-five percent of the class did not pass the test. For items 13-14. Consider the situation. The poultry caretaker was instructed by the owner to record the eggs of 500 layer chickens collected each day for 15 days. The results were: 401, 400, 380, 400, 350, 375, 320, 415, 425, 375, 380, 358, 385, 345, 360. ________13. Which of the following is the lower quartile? A. 345 C. 375 B. 358 D. 380 ________14. Which of the following is the upper quartile? A. 400 C. 415 B. 401 D. 420 ________15. The scores of a student in three tests are 19, 17, and 15. What must be his 4th score to gain an average of 17? A. 20 C. 17 B. 19 D. 15 rd ________16. Find the 3 decile of the following test scores of a random sample of ten (10) students using linear interpolation. 15, 20, 23, 18, 40, 42, 28, 28, 35, 33. A. 19.6 C. 20.9 B. 20.3 D. 21.3 ________17. 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. ________18. If you are the 9th tallest student in a group of 12, how many percent of the students are shorter than you? A. 60% C. 70% B. 67% D. 75% ________19. The school canteen vendor recorded the number of customers who came into his stall each hour in a day. The results were: 8, 15, 11, 5 13, 6, 2, 15, 8, 10 and 4. Find the lower and interpret the result. A. The lower quartile is 4 , which means that 25% of the customers is less than or equal to 4. B. The lower quartile is 5 , which means that 25% of the customers is less than or equal to 5. C. The lower quartile is 8, which means 25% of the customers is less than or

equal to 8. D. The lower quartile is 6 which means 25% of the customers is less than or equal to 6. ________20. If your percentile score in a mathematics test is 88, should you be happy? A. Yes, because I got the highest score. B. Yes, because only 12% of my classmates got a score higher than my score. C. No, because I only surpassed 12% of my classmates. D. No, because 88% of my classmates performed better than me. For items 21-23: Test Scores of 35 students in Biology Scores Frequency 95-99 5 90-94 7 85-89 8 80-84 6 75-79 4 70-74 1 65-69 3 60-64 1 ________21. Find the median. A. 86.00 C. 86.16 B. 86.06 D. 86.61 ________22. The lower boundary to be used is A. 74.5 C. 84.5 B. 79.5 D. 89.5 ________23. What cumulative frequency to be used? A. 9 C. 23 B. 15 D. 30 ________24. Given the set of data: 81, 72, 94, 66,85, 70, 87. Find the 5th decile. A. 66 C. 72 B. 70 D. 81 ________25. Find the 50th percentile from the given set of values: 18.1, 35.6, 81.0, 44.4, 72.5, 25.0 A. 44.4 C. 35.6 B. 40 D. 35 For items 26 to 29, complete the table below. Class Interval / Daily Allowance

Frequency (f)

Less Than Cumulative Frequency (
Lower Boundary (LB)

91 - 100 3 81 – 90 2 71 – 80 2 61 – 70 3 51 – 60 8 41 – 50 5 31 – 40 6 21 – 30 10 11 – 20 11 1 - 10 15 Note: 2 points for correct and complete data under cumulative frequency (cf) and 2 points for correct and complete data under lower boundary (LB).

_______30. From the table above, the median can also be interpreted as _______. A. 50% of the students have daily allowance of less than 27. B. 50% of the students have daily allowance of greater than 27. C. 50% of the students have daily allowance of less than or equal to 27. D. 50% of the students have daily allowance of greater than or equal to 27. _______31. If the 65th percentile rank is 38 and it falls in the class interval 36-40, which is the best conclusion of this result? A. 65% of the students got scores belong to the class interval 36-40. B. 65% of the students got scores less than or equal to 38. C. 35% of the students got scores belong to the class interval 36-40. D. 35% of the students got scores less than or equal to 38. _______32. The 1st quartile of the ages of 250 fourth year students is 16 years. Which of the following statements is true? A. Most of the students are below 16 years old. B. Seventy-five percent of the students are 16 years old and above. C. Twenty-five percent of the students are 16 years old. D. One hundred fifty students are younger than 16 years. For items 33 – 36: Kim and Alex scored 32 and 23, respectively, in the qualifying exam for a scholarship grant. The determining factor for a college scholarship is that as student’s score should be in the top ten percent of the scores of his/her graduating class. The students in the graduating class obtained the following scores in the qualifying exam. SCORES (QUALIFYING EXAM) 39 – 41 36 – 38 33 – 35 30 – 32 27 – 29 24 – 26 21 – 23 18 – 20 15 – 17 12 – 14 9 – 11 6–8 3-5

FREQUENCY (f) 6 7 9 13 22 10 9 7 8 4 2 1 1

LOWER BOUNDARY (LB)

LESS THAN CUMULATIVE FREQUENCY(
33. Complete the table by filling in the values of LB (lower boundaries) and
MATHEMATICS 10 ANSWER KEY 1. D 2. D 3. D 4. B 5. B 6. A 7. C 8. D 9. D 10. B 11. B 12. C 13. B 14. A 15. C 16. C 17. A 18. B 19. B 20. B 21. B 22. C 23. B 24. D 25. B 26 – 29: CLASS INTERVAL

FREQUENCY (f)

LESS THAN CUMULATIVE LOWER BOUNDARY FREQUENCY (
FREQUENCY (f)

91-100 81-90 71-80

3 2 2

LESS THAN CUMULATIVE FREQUENCY (
LOWER BOUNDARY (LB) 90.5 80.5 70.5

61-70 51-60 41-50 31-40 21-30 11-20 1-10

3 8 5 6 10 11 15

55 + 3 = 58 47 + 8 = 55 42 + 5 = 47 36 + 6 = 42 26 + 10 = 36 15 + 11 = 26 15

60.5 50.5 40.5 30.5 20.5 10.5 0.5

30. C 31. B 32. B 33-36: SCORES (QUALIFYING EXAM)

FREQUENCY (f)

LOWER BOUNDARY (LB)

39 – 41 36 – 38 33 – 35 30 – 32 27 – 29 24 – 26 21 – 23 18 – 20 15 – 17 12 – 14 9 – 11 6–8 3-5

6 7 9 13 22 10 9 7 8 4 2 1 1

38.5 35.5 32.5 29.5 26.5 23.5 20.5 17.5 14.5 11.5 8.5 5.5 2.5

37 – 40:

LESS THAN CUMULATIVE FREQUENCY(