statistics by: simran arora. shark data mean: the average of a set of data. in my data set, females...

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STATISTICS BY: SIM RAN AROR A

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Page 1: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

STATI

STICS

BY :

SI M

RA

N A

RO

RA

Page 3: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

TURTLE GAME

Blue Yellow Green Red Orange

0

5

10

15

20

25

SurvivedNumber of Hatchlings

Turtle Survival at Beach Site: D

SurvivedNumber of Hatchlings

Colors

Num

ber

of

Hatc

hlings

Please don’t litter when visiting the beach.

Page 4: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

BOTTLE CAPS

Red15% Orange

7%

Yellow5%

Blue21%

Green12%

Purple1%

Black11%

White18%

Clear7%

Other3%

Bottle Caps Percentages

Percentage: A proportion per hundred. The percentages here are to show the percentage of each color bottle cap.

Page 5: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

FREQUENCY DISTRIBUTION OF SEA CIGARS BY SIZE

"1-5" "6-10" "11-15" "16-20" "21-25" "26-30" "31-35"0

2

4

6

8

10

12

Frequency Distribution of Sea Cigars by Size

Size Class (cm)

Frequency

Size Interval of Sea Cigars"1-5" 0"6-10" 1"11-15" 5"16-20" 12"21-25" 4"26-30" 2"31-35" 1

Page 6: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

CORAL SURVIVALTrial Number

Water Temperature Depth

Wave Action

Survived?

1 5 2 4Yes2 2 4 5Yes3 4 3 6Yes4 5 6 3No 5 5 2 5Yes6 5 2 4Yes7 2 4 5Yes8 2 1 4Yes9 1 3 2No

10 5 4 6Yes11 1 3 6No 12 5 5 3No 13 5 5 6No 14 4 6 4No 15 4 2 4Yes16 5 5 1No 17 5 2 4Yes18 2 2 6Yes

Theo

retic

al P

roba

bilit

y

Obser

ved

Prob

abili

ty0

0.6

Probability of Coral Survival

Probability Types

Pro

babilit

y

Probability: The likelihood of something is going to happen

The factors that

affected the Coral

survival the most

were Depth and

Wave Action.

Page 7: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

VARIANCEVariance – How far the data is from the mean

Formula -

Length6.77.37.57.59.49.8

11.212.513.1

17 Variance 10.8 10.77556

Page 8: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

STANDARD DEVIATION

Standard Deviation – How spread out the data are

Formula -

Length6.77.37.57.59.49.8

11.212.513.1

17

Standard Deviation 3.33.28261

4√- Radical is the symbol for square root

Page 9: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

THEORETICAL DISTRIBUTION CURVE (TDC)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250

0.5

1

1.5

2

2.5

3

3.5

4

Actual Distribution of Sea Cigar Lengths

Sizes (cm)

Frequency

4 6 8 10 12 14 16 18 20 22 240

0.5

1

1.5

2

2.5

3

Bell Curve of Sea Cigar Lengths

Sizes (cm)

Fre

quency

Theoretical Distribution Curve: An ideal picture of a distribution based upon random sampling.

Page 10: STATISTICS BY: SIMRAN ARORA. SHARK DATA Mean: The average of a set of data. In my data set, females are normally larger than the males in this group

T-TEST

T-Test: An equation that tells whether there is a significant difference between the means of two independent samples

Equation:

Sp2( +

X1 – X2

P value: Must be less than 0.05 in order to reject the null.

ControlTreatment

14 14

13 13

13 15

13 15

13 15

13 14

  14

  14

  15

  15

   

T-Test 0.000545