Transcript Statistics - University of Miami

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
𝜹2 = ∑ (X-𝒳)2
𝓃-1
2
X
STANDARD DEVIATION
Definition: Describes how far data is from the
average
𝝈 = 𝑽𝒂𝒓𝒊𝒂𝒏𝒄𝒆 𝝈=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.
𝑿𝟏 − 𝑿𝟐
𝟏
𝟏
𝑺 𝒑𝟐 ( + )
𝒏𝟏 𝒏𝟐
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.