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Center number (or average of 2 center numbers for even set) 


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The number that occurs most frequently 


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The greatest value in the set minus the least value. 


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Gen: is greater the more data are spread away from the mean.
For each number in set, X, (xmean)^{2}. Add the sum of these numbers. 


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For each data value in a set, counting the number of its frequency. 


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A collection of numbers or other objects. S={5,1,0}; ABS(s)=3. A set can also be a subset of another set. 


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The elements that are in a OR in b OR in both. Denoted as: aUb 


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All elements that are contained in both a AND b. The shaded, shared part of a venn diagram. Denoted by A∩B. 


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for sets S and T, the number of elements in their union (U)= ABS(SuT)=ABS(S)+ABS(T)(SnT). The intersecting numbers are subtracted so that they aren't counted twice. 


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Two sets are disjointed or mutually exclusive if they share no elements. Thus, ABS(SuT)=ABS(S)+ABS(T). 


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Factorial for counting combinations 

Definition
Factorials are useful for the ordering of objects, or permutations (i.e. combinations for A,b,c).
N!=N+(N1)+(N2), etc.
Permutation is a selection process in which objects are selected one by one in a certain order. 


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For a set of objects (n) where only some (k) are selected, and order doesn't matter.
The number of possible complete selections of k objects is the # of combinations of n objects taken k at a time, denoted by (n over k).
(n over k)=(n!)/((k!)(nk)!). or (5 over 2)=5!/(2!3!)=120/(2*6)=10. 


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(n over k)=(n over (nk)). Because every set chosen corresponds to a set not chosen. (5 over 2)=10=(5 over 3). 


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Discrete probability of an event 

Definition
P(E)=(the number of outcomes in E)/(the total number of possible outcomes). 


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Outcomes of experiment with two events 

Definition
For experiment with events E and F: "not E"  set of outcomes that are not outcomes in E. "E or F"  the set of outcomes in E or F or both; union; EUF. "E and F" outcomes in both E and F: intersection; EnF. 


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P(E or F)=P(E)+P(F)P(E and F). If "E and F" is impossible, then it equals 0. 


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P(E and F)=P(E)P(F). Because they are independent, the order of the events does not matter.
P(E or F)=P(E)+P(F)P(E)P(F). 


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The same as solving an equation, except that div. or mult. by a neg number reverses the sign. 


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An expression denoted by f(x), and the variable is given a value. In any function there can be no more than one output for any given input. 


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GEOMETRY  intersecting lines 

Definition
any two straight lines that intersect; the opposite angles have the same measure. Two angles on a straight line add up to 180 deg. 


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a closed plane figure formed by three or more line segments. The interior angles of a triangle =180. The int. ang. of a polygon with n sides = (n2)*180.
[image] 


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The sum of the lengths of any two sides is greater than the length of the third. 


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Equilatoral/isoceles triangle 

Definition
Equilatoral  all sides same length
Isocelese  at least two sides the same length
If two sides are same length, then two angles opposite those sides have same measure.
[image] 


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Hypoteneuse is the side opposite the right angle (c). Ratio of 3:4:5 is right triangle. Thus, a^{2}+b^{2}=c^{2}
[image] 


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454590 tri: lengths are 1:1:√2
306090 tri: lengths are 1:√3:2 


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area=(height X base)*(1/2)
[image] 


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Quadrilateral with two sets of parallel lines. The opposite sides are of equal length.
Area = base x height
[image] 


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Two sides are parallel (but other two are not). Area=(.5)(top+bottom)(height)
[image] 


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Circumference = 2Πr Area = Πr^{2}
Deg=360 


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Length of arc is x(deg)/360 of the circumference of circle. If x=60, arc is 60/360 * circumference.
[image] 


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If a triangle in a circle has one side on the diameter, then the circle is a right triangle. 


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Vertex: point where two edges meet. Rec solid has 6 faces, 12 edges, and 8 vertices.
Surface area = sum of all areas of faces.
Volume = LxWxH 


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Two base circles are the same size.
Surface area = 2(Πr^{2})+2ΠrH
Volume=Πr^{2}*H
[image] 


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four quadrants; the center is the origin.
[image] 


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y=mx+b m= slope= (y2y1)/(x2x1) b= yintercept (value when x=0) To find xint must set y=0 and solve for x.
After establishing the slope, plug a known coordinate on line into equation to find the equation of the line. 


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If unique solution, then cross at a single point.
If equations are equivalent, then they are the same line.
If no solution, the two lines are parallel and do not intersect. 

