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Variance

Math A Guide

Subject: 
Algebra
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Differential calculus
Data analysis
rates
Analytic geometry
equations
Normal distribution
Variance
Expected value
derivative
Linear equation
Trigonometric functions
Cumulative distribution function

A-Level Maths Revision notes 2015 1 Contents Coordinate Geometry ........................................................................................................................... 3 Trigonometry ......................................................................................................................................... 5 Basic Algebra ......................................................................................................................................... 8 Advanced Algebra ............................................................................................................................... 10

Data Analyzation of Lab 2.1 (Picket Fence Free Fall)

Subject: 
Physics
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Summary statistics
Means
Data analysis
Probability distributions
Statistical theory
Skewness
Kurtosis
Standard deviation
Variance
Median
Mode
Normal distribution

Sheet3 Sheet4 Column Labels Row Labels 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Gate State (blank) Grand Total 0 (blank) 0.0165 (blank) 0.038879 1.4761970342 9.7819247708 0.051521 (blank) 0.069619 1.7745302221 9.6281720355 0.080271 (blank) 0.095919 2.0314492317 9.9093952291 0.105167 (blank) 0.119209 2.2611747043 9.817996153 0.127646 (blank) 0.140351 2.470616489 9.9948677845 0.148107 (blank) 0.159822 2.6632752884 9.7944393321 0.166958 (blank) 0.177989 (blank) 0.184769 (blank) Time (s) (blank) (blank) (blank) Grand Total Sheet5 Time (s) 0 3.8878999999999997E-2 6.9619E-2 9.5919000000000004E-2 0.119209 0.140351 0.15982199999999999 0.17798900000000001 Distance (m) 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 SUMMARY OUTPUT Regression Statistics

Standard Deviation

Subject: 
Statistics
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Statistics
Data analysis
Summary statistics
Probability theory
Variance
Standard deviation
Deviation
measurement
Bessel's correction
Analysis of variance

The Standard Deviation is a measure of how spread out numbers are. Its symbol is???(the greek letter sigma) The formula is easy: it is the?square root?of the?Variance Variance = The average of the?squared?differences from the Mean. To calculate the variance follow these steps: Work out the Mean (the simple average of the numbers) Then for each number: subtract the Mean and square the result (the squared difference). Then work out the average of those squared differences. (Why Square?)
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Against All Odds Video Quizzes

Subject: 
Statistics
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Statistics
Data analysis
Statistical inference
measurement
Summary statistics
Probability theory
Normal distribution
Confidence interval
Mode
Standard deviation
Student's t-distribution
Variance

Against All Odds Program 1 Quiz ?What is Statistics?? Name ________________ 1. Dr. Amabile is a _______________ as well as a psychologist. The secret of success is using _______________ to check each step of the operation. Consumer trials stick to a precise script so the results can be compared _______________. Any _______________ due to order of presentation gets cancelled out in the second round. There?s one more essential step, ________________________ the whole package in selected cities and measuring the response. Without these statistical analyses, we would never really be sure whether or not two things are ___________________ different or not, we?d just be guessing.

ANOVA sample problem

Subject: 
Statistics
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Statistics
Data analysis
Means
Probability theory
Variance
Normal distribution
Arithmetic mean
health
Anova

Age-Problem A researcher wishes to see whether there is a difference in the average age of nurses, doctors, and X-ray technicians at a local hospital. Employees are randomly selected. At 95% confidence level, can the researcher conclude that there is a difference in the average ages of each group? Nurses Doctors X-Ray Techs 23 60 33 25 36 28 26 29 35 35 56 29 42 32 23 22 54 41 58 28.833333333333332 46.428571428571431 31.5 Mean 62.966666666666605 181.28571428571436 39.1 Variance 36.157894736842103 Grand Mean GPA-Problem The GPAs of students participating in college sports programs are to be compared. At ?=0.05, can one conclude that there is a difference in the mean GPA of the three groups? Football Baseball Hockey 3.2 3.8 2.6 2.6 3.1 1.9 2.4 2.6 1.7
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