Data Tables Packet #19

Raw Data Table Raw data tables lists all scores (data) in no particular order. Usually the first table drawn Difficult to understand by merely looking at it Organization will become necessary

Raw Data Table II 82 90 98 75 62 86 72 58 36 80 92 94 68 83 70 78 84

Ordered Array Table The scores (data) is listed in order typically from lowest to highest. 98 80 94 92 78 90 75 86 72 84 70 83 68 82 62 58 36

Rank Ordered Table Scores (data) are listed in order and then assigned a ranking. Two or more equal scores are each given the same rank average. Raw Score Rank 98 1 80 11.5 94 2 92 3 78 13 90 4 75 14 86 5 72 15 84 6 70 16 83 7 68 17 82 9 62 18 58 19 36 20

Rank Ordered Table II The raw score 82 occurs three times. If it had been three different scores, the scores would have received rankings of 8, 9 and 10 Since there are three of them, however, they each receive the average of the three scores. (8+9+10)/3 = 27/3 = 9 Raw Score Rank 98 1 80 11.5 94 2 92 3 78 13 90 4 75 14 86 5 72 15 84 6 70 16 83 7 68 17 82 9 62 18 58 19 36 20

Percentile Rank Percentage of scores falling at or below a specific score For a score of 98, 20 of 20 people scored at or lower 20/20 = 1.0 or 100% For a score of 70, 5 of 20 people scored at or lower 5/20 = .25 or 25% Please note that the same scores receive the same percentile rank Raw Score Percentile Rank 98 100 80 50 94 95 92 90 78 40 85 75 35 86 72 30 84 70 25 83 68 20 82 65 62 15 58 10 36 5

Frequency Distribution Each achieved score is listed in numerical order with the frequency, or number of times the score occurs. Raw Score Frequency 98 1 78 94 75 92 72 90 70 86 68 84 62 83 58 82 3 36 80 2

Group Frequency Shows the number of times a score appears that is within a particular range

Grouped Frequency II Range Frequency Raw Score Grade 90 – 100 4 A 80 – 89 8 B 70 – 79 70 – 70 C 60 – 69 2 D 50 – 59 1 0 – 59 F 40 – 49 30 – 39 20 – 29 10 – 19 0 – 9