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STATISTICS B Y E LY J R A D E SHARK DATA Mean Length Of Sharp-Nose Sharks Females Gender of Shark Mean is the average of a Data set. In this case, the mean is the average male and female shark lengths. Males 920 930 940 950 960 970 Length in mm 980 990 1000 SEA TURTLE SURVIVAL Number of Turtles that survived Beach Site E 25 # of Turtles 20 15 10 5 Hatchlings 0 Blue Survived Yellow Green Red Color of Turtle PERCENTAGE OF BOTTLE CAPS Percentage of bottle caps Other 1% Percent is a way of expressing numbers out of 100. In this case percentages are used to show the percent of different colored bottle caps out of the total. Clear 13% Red 21% Orange 4% White 18% Yellow 9% Black 6% Green 14% Blue 14% SEA CIGAR LENGTH INTERVAL Frequency Distribution of Sea Cigars by size (cm) 9 8 Frequency Size class Frequency "1-5" 0 "6-10" 1 "11-15" 9 16-20" 5 "21-25" 7 "26-30" 3 7 6 5 4 3 2 1 0 "1-5" "6-10" "11-15" 16-20" Size Interval (cm) "21-25" "26-30" FACTORS THAT AFFECT CORAL PLANULA Probability is a way SURVIVAL to measure the chances that something will occur in relation to the possible alternatives Probability of Coral Survival Probability In this case probability was the probability of 18 0.25 coral planula surviving certain 0.20 conditions using dice. Observed 0.15 probability is the amount of Coral 0.10 that survived when I rolled the dice. 0.05 Theoretical probability is the 0.00 amount of Coral Observed probability that theoretically were supposed to These are the factors that affect coral survive. Temp 2,3,4,5 Depth 1,2,3,4 Theoretical probability Probabilities Wave 4,5,6 Trial Temp Depth Wave 1 4 4 4 2 1 2 1 3 3 5 6 4 6 3 4 5 3 2 1 6 3 5 3 7 6 5 4 8 1 5 1 9 2 1 2 10 2 2 5 11 6 2 2 12 5 5 3 13 5 4 3 14 4 2 6 15 3 6 1 16 6 2 5 17 4 5 3 18 4 6 2 VARIANCE Definition: Variance is the measure of how far apart a set of numbers are. The variance of the sea cigar lengths are 25.3 πΉ2 = β (X-π³)2 π-1 2 X STANDARD DEVIATION Definition: Describes how far data is from the average π = π½πππππππ π=standard deviation The standard deviation of the sea cigar lengths is ±5.3 THEORETICAL DISTRIBUTION CURVE 3 Actual Distribution of Sea Cigars by Length Theoretical Distribution of Sea Cigars by length 2.5 4 3.5 2 Frequency Frequency 3 2.5 1.5 2 1.5 1 1 0.5 0.5 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Size of Sea Cigar (cm) TDC is a curve to show the theoretical areas random samples would likely fall under. 0 0 5 10 15 Size of Sea Cigar (cm) 20 25 T-TEST T-Test is to find if there is a significant difference between two means from two sets. πΏπ β πΏπ π π πΊ ππ ( + ) ππ ππ If the t-test is greater than the critical number in the df row and 2 tail or 1 tail column, than the null hypothesis is rejected and if the t test is less than the critical number than the null hypothesis failed to be rejected.