Organzation of scores, Uses of a Talligram

Assessment 1

1. Jolieto C. Caparida , BPE - SPE

2. Organization of Scores

3. TALLIGRAM is a process of tallying scores in a statistical table using a tally and a diagram

4. 86 74 66 70 56 69 70 73 66 74 81 62 60 76 80 81 67 68 73 63 75 71 66 70

5. Procedure: Create a table 1 2 3 4 5 6 7 8 9 Total 9 8 1 11 1 4 7 111 1 11 11 1 1 10 6 1 1 1 111 1 1 1 9 5 1 1 Total 5 3 1 3 2 1 6 1 1 1 24 The columns stands for the ten´s digit. Look at the distribution of the scores, from highest to lowest. In this example, the highest score has 8 as its ten´s digit and 5 as the ten´s of the lowest score. The rows stands for the one´s digit; that is from 0 to 9.

6. Tally in the intersection of the column for the tens and the row column for the one´s digit For example, the first score is 86. Tally in the intersection of 8 and 6. Continue the process until all scores are tallied When all the scores have been tallied, and the totals for each rows and columns have been made, you have finished a talligram .

7. Uses of Talligram It shows the frequency of each score, the number of times a score occurs. It shows the frequency of scores in each ten´s digit or line of tens; thus facilitating in the arrangement of large number of scores in an ascending or descending order.

8. Uses of Talligram It is used as an aid in score frequency distribution. It shows the normalcy and skewness of the distribution.

9. RANKING is the position of an observation, score or individual in relation to the others in the group according to some characters such as magnitude, quality, or importance.

10. RANKING is the process or method of determining the relative position of values, measures, or scores according to some bases such as magnitude, worth, quality, importance or chronology. it is an arrangement of values or scores from the highest to the lowest.

11. 45 56 51 61 39 88 85 61 45 61 72 61 69 61 45 70 72 69 37 69

12. PROCEDURE Arrange the scores in a descending order; that is, from highest to lowest in vertical column Number the scores consecutively from highest to lowest

13. PROCEDURE Assign the ranks. The rank of a score occurring once is the same as its consecutive number. If the score occurs two or more times, add the first and last consecutive numbers of the score and divide the sum by the number of sores that appears the same.

14. CN Rank CN R 88 1 1 61 11 11 85 2 2 61 12 11 72 3 3.5 61 13 11 72 4 3.5 56 14 14 70 5 5 51 15 15 69 6 7 45 16 17 69 7 7 45 17 17 69 8 7 45 18 17 61 9 11 39 19 19 61 10 11 37 20 20

15. Explanation A score of 88 occurs once; it has a rank of 1. 72 appears twice. Their consecutive numbers are 3 and 4; the sum is 7; so 7/2 is equal to 3.5. The next score is 70 (occurs once); it follows its consecutive numbers are: 6 + 7 + 8 = 21/3 = 7. A score of 69 has a rank of 7. The same procedure is followed for all other numbers.

16. USES OF RANKING It is used to indicate the relative position of a student in a group to which he belongs. It is used in the computation of correlation of coefficients. It is used in almost all kinds of tests

17. It provides for a limited amount of comparison. Rank symbols cannot indicate the extent of difference between adjacent ranks. LIMITATIONS OF RANKING

18. It is limited to what can be done to them mathematically. Scale symbols can be converted into rank symbols but rank symbols cannot be changed into scale symbols LIMITATIONS OF RANKING

19. SCORE FREQUENCY DISTRIBUTION A frequency distribution is a table showing how each score occurred. Each score value is listed and the number of times it occurred is shown.

20. Score: 48 32 35 28 20 25 28 36 38 41 35 15 16 19 18 33 34 13 15 36 46 44 41 38 39 19 29 16 44 40 43 48 46 47 43 39

21. Steps: Find the range Range = Highest score – lowest score 48 – 13 = 35 range Decide on the number of intervals or number of step interval Maximum number = 20 Minimum number = 7 Ideal number = 10 Determine the interval by dividing the range by the number of interval decided 35/10 = 3.5 or 4 size of the interval

22. Put up he class interval, starting with the lowest class interval The lowest class interval should be the lowest score or the next lower number that is exactly divisible by the size of the class interval. In the example, our lowest score is 13; however 13 is not divisible by 4 (size of the class interval). The next lower number which is divisible by 4 is 12; therefore the lowest class interval should be 12 – 15.

23. Score Tally f 48 – 51 ll 2 44 – 47 llll 5 40 – 43 llll 5 36 – 39 llll l 6 32 – 35 llll 5 28 – 31 lll 3 24 – 27 l 1 20 – 23 l 1 16 – 19 llll 5 12 – 15 lll 3 N = 36

24. GRAPHICAL PRESENTATION OF DATA It is often good to present data in graphical form. A common type of graphic presentation is called a HISTOGRAM

25. F requency side Scores

26. Scores The score intervals are shown along the horizontal base line. The vertical height represents the number of cases. Another way of presenting the data is to use the frequency polygon

27. two types of distribution as a result of using a frequency polygon. Symmetrical Asymmetrical In a symmetrical distribution, each half or side of the distribution is a mirror image of the other side.

28. An asymmetrical distribution, has nonmatching side of halves . An symmetrical distribution results to a skewed distribution .

29. TWO TYPES OF SKEWNESS Positive Skewness – indicates that the class did poorly in the test (majority got low in the test). Negative Skewness – indicates that majority have high scores.

30. Positively skewed Negatively skewed

31. Thank you For Listening!!!!! God Bless!!!