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The following websites provide information on how to reduce the carbon emissions and
costs associated with construction site energy use:
The Strategic Forum for Construction has
Variance and standard deviation (grouped data)
Introduction
In this leaet we extend the denitions of variance and standard deviation to data which has been
grouped.
Variance
The variance of a set of v
Measures of Location
Averages
Averages can be tricky.
Consider:
Rate of
Return
Year 1
Year 2
Year 3
Year 4
Year 5
0.07
0.1
0.12
0.3
0.15
What is the average rate of return over the five year period?
A
Statistics - Median of Grouped Data
On arranging the data in ascending or descending order median is the middle - most
observation. If the number of observations are odd then the median is (n+1 / 2)th
Chapter 3 Descriptive Statistics: Numerical Measures
Slide 1
Learning objectives
1. Single variable Part I (Basic) 1.1. How to calculate and use the measures of location 1.2. How to calculate and use
Including Revision 1 dated May 2012
Including Revision 1 dated May 2012
Page 4
2009 Edition - Revision 1
Standard:
07
Signs and other devices that do not have any traffic control purpose that are pl
D. Cvitanic, I. Lozic, D. Breski: An analysis of intersection traffic signal warrants
DRAZEN CVITANIC, M. Se.
e-mail address: [email protected]
IVO LOZIC, D. Se.
DEANA BRESKI, B. Eng.
Sveucili
Ordinary Dierential Equations
1
Introduction
A dierential equation is an equation relating an independent variable, e.g. t, a dependent variable, y,
and one or more derivatives of y with respect to t:
Differentiation Rules Calculus I
General Formulas 1. 2. 3. 4. 5.
d dx k
Integration Formulas Calculus I
General Formulas 1. k dx = kx + C. (u + v) dx = (u - v) dx = u dv = uv - u dx + u dx - v dx. v d
CALIBRATING FREEWAY SIMULATION
MODELS IN VISSIM
Submitted By:
Tony Woody
Master of Science in Civil Engineering
CEE 600 Final Research Report
University of Washington
Seattle, WA
Spring Term 2006
Abst
Formulas from Calculus
Derivatives
d
dx
d
dx
d
dx
[xn ]
= nxn1
[c]
=0
[x]
d
dx
d
dx
d
dx
[ x]
d
dx
1
x
[ex ]
= ex
[bx ]
= bx ln b
=1
d
dx
d
dx
d
dx
[ln x]
=
1
x
1
= x2
d
dx
[logb x]
=
1
x2
2
= x3
d
dx
Christen G. Byler
Christen G. Byler is an economist
in the Division of Census of Fatal
Occupational Injuries, Ofce
of Compensation and Working
Conditions, Bureau of Labor
Statistics. Email: byler.chri
Owner Controlled Insurance Programs - Part 1
David L. Grenier
Owner-controlled insurance programs (OCIPs) are a type of wrap-up, an increasingly popular insurance
procurement option that allows covera
Remediation is considered as the management of the
contaminant at a site so as to prevent, minimize or
mitigate damage to human health, property or the
environment. It is a broader term than clean up
A RATIONAL APPROACH TO THE PREDICTION OF REFLECTIVE CRACKING
IN BITUMINOUS OVERLAYS FOR CONCRETE PAVEMENTS
by
THOMAS A. BENNERT
A Dissertation submitted to the
Graduate School-New Brunswick
Rutgers, T
SECTION R8A
BITUMINOUS PRIME COAT
R8A 01 SCOPE
The work covered by this Section of the Specification consists in furnishing all plant, labor, equipment
and materials and in performing all operations i
Lecture 2 Grouped Data
Calculation
Mean, Median and Mode
2. First Quantile, third Quantile and
Interquantile Range.
1.
Mean Grouped Data
Example: The following table gives the frequency distribution o
Bed 16
Bed 10
Bed 9
Bed 17
Bed 13
Bed 12
Bed 8
Batch
Plant
Bed19
Product Storage
Bed 23
Bed 22
Bed 20
Bed 21
Bed 15
Bed 14
Bed 11
G
Finsihing Bay
D
A
Bed 18
H
E
Stock
room
Food
F
Bed 7
Bed 5
Bed 4
Bed
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