Project-Points-Percentile Rank cezar.pptx

presentation for percentile of data.

1. Grade 10 Fourth Quarter Percentile Rank M easures of Position; Percentile Rank ( M10SP-IVd-e-1 ) 1 2 3 4 5 Lesson

2. Grade 10 Fourth Quarter Objective 1 2 3 4 5 Lesson 1. Calculate the Percentile Rank of ungrouped data and grouped data 2. Value accumulated knowledge as means of new understanding. 3. Appreciate the concept of measures of position in real-life situations.

3. Activate Prior Knowledge 1 PERCENTILE RANK Percentile ranks are particularly useful in relating individual scores to their positions in the entire group. A percentile rank is typically defined as the proportion of scores in a distribution that a specific score is greater than or equal to. For instance, if you received a score of 95 on a Mathematics test and this score was greater than or equal to the scores of 88% of the students taking the test, then your percentile rank would be 88

4. Activate Prior Knowledge 1 Percentile rank is typically defined as the proportion of scores in a distribution that a specific score is greater than or equal to.

5. Acquire New Knowledge 2 An example is the National Career Assessment Examination (NCAE) given to Grade 9 students. The scores of students are represented by their percentile ranks .

6. Acquire New Knowledge 2 where: PR = percentile rank, the answer will be a percentage 𝑐𝑓 = cumulative frequency of all the values below the critical value n = total frequency

7. Acquire New Knowledge 2 A teacher gave a 20 – item quiz to 10 students. The scores are as follows 12, 14, 10, 19, 12, 11, 9, 18, 9, 20. Find the percentile rank of 14. Illustrative Examples:

8. Acquire New Knowledge 2 Step 1 Step 2 Step 3 Step 4 Step 5 Therefore, the student with a score of 14 did better than 65% of the class. Solutions:

9. Acquire New Knowledge 2 A teacher gave a 20 – item quiz to 10 students. The scores are as follows 12, 14, 10, 19, 12, 11, 9, 18, 9, 20. Find the percentile rank of 12. Illustrative Examples:

10. Acquire New Knowledge 2 Step 1 Step 2 Step 3 Step 4 Step 5 Therefore, the student with a score of 12 did better than 50% of the class. Solutions:

11. Acquire New Knowledge 2 where: PR = percentile rank, the answer will be a percentage 𝑐𝑓 p = cumulative frequency of all the values below the critical value P = raw score or value for which one wants to find a percentile rank LB = lower boundary of the kth percentile class 𝑓 p = frequency of the percentile class N = total frequency i = size of the class interval

12. Acquire New Knowledge 2 1. Assume that a researcher wanted to know the percentage of consultants who made ₱5,400 or more per day.

13. Acquire New Knowledge 2 Solutions: ₱5,400 is within 5200 – 6399 LB = 5199.5 N = 120 P = 5400 𝑐𝑓𝑝 = 60 𝑓𝑝 = 36 i =1200

14. Acquire New Knowledge 2 Substituting the following given in the formula: 𝑃𝑅 = 55.01 Round off the resulting value to the nearest whole number . Therefore, 55% of consultants make ₱5,400 or less per day and 45% of consultants make ₱5,400 or more per day.

15. Acquire New Knowledge 2 Illustrative Examples:

16. Acquire New Knowledge 2 Illustrative Examples:

17. Acquire New Knowledge 2 Illustrative Examples:

18. Application 3 Answer the following:

19. Assessment 4

20. Assessment 4 1. _______________of the distribution are below the 1st quartile . A C B D 25% 50% 35% 100%  

21. Assessment 4 A C B D   2. Which of the following is the meaning of the statement “You are in the 91 st percentile of your batch in the entrance test” ?    Your standing in the batch is as lower as the 91% of the batch. Your standing in the batch is as equal as the 91% of the batch. Your standing in the batch is as higher than the 91% of the batch. Your standing 91% grade

22. Assessment 4 A C B D   3.  It is one of the measures of position that divides the data into hundred equal parts? Quartile Decile Percentile Mean

23. Assessment 4 A C B D   4. The scores of 20 learners in a 50 – item Mathematics test are as follows. If Miguel’s score is 32, find his percentile rank. 43 rd 6 3 rd 53 rd 3 3 rd

24. Assessment 4 A C B D   5. A teacher gave a 20 – item quiz to 10 students. The scores are as follows 12, 14, 10, 19, 12, 11, 9, 18, 9, 20. Find the percentile rank of 12. 45th 5 5th 6 5th 50th

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26. Additional Activity 5 A C B D 5 4. In Math scores; 5 4 7 8 9 6 4 7 8 9 7, which is the 1 st quartile ? 6 7 8