# statistics, core 1, core 2 fomule

• Created by: Yasmin
• Created on: 25-04-13 18:05
mean
x = ∑x/n x = ∑xifi/∑fi
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variance
o = ∑x/n - x o=∑xifi/∑fi - x
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standard deviation
o = o
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Binomial conditions
(in context) outcome of each trial is independent of outcomes and other trials. And probability of success is contant
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Geometric conditions
(in context) outcome of each trial is independent of outcomes and other trial. And a single trial has exactly 2 possible outcomes
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Regression x on y (x dependent, y independent)
x = a'+b'y b'= sxy/syy a' = x-b'y
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Sin(x)
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cos (x)
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tan (x)
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trigonometry identity 1
tan Ө = sin Ө/ cos Ө
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trigonometry identity 2
sin Ө + cos Ө = 1
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increasing sequence
diverege
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decreasing sequence
converge
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up & down sequence
osiatting
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Intergration
add one onto the power , THEN divide by new power (+k if there are no limits)
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trapezium rule
area = 1/2 x h x ((add ends) + 2x(add rest of values))
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UNDERestimate
(when line curves down) as the top of he trapezium are under the curve
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OVERestimate
(when line curves up) as the top of the trapezium are above the curve
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LOGaB = C
a(to the power of C)=B
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LOG mulitipilcation rule
LOG PQ = LOG P + LOG Q
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LOG division rule
LOG (P/Q) = LOG P - LOG Q
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LOG power rule
LOG(Px) = x LOG P
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SIN rule when finding an angle
SIN A/ a = SIN B/ b (when have 1 angle and 2 sides)
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SIN rule when finding a side
a/ SIN A = b/ SIN B (when have 1 side and 2 angles)
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COSINE rule when finding angle
a - b - c / -2 b c = COS A
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area of triangle
1/2 ab SIN C
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S = Ө r
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A= 1/2 r Ө
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length of a line
(x1 - x2) + (y1 - y2)
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midpoint of a line
(x1 + x2 / 2 , y1 + y2 / 2 )
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y2- y1 / x2- x1
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## Other cards in this set

### Card 2

#### Front

o = ∑x/n - x o=∑xifi/∑fi - x

variance

### Card 3

o = o

#### Back ### Card 4

#### Front

(in context) outcome of each trial is independent of outcomes and other trials. And probability of success is contant

#### Back ### Card 5

#### Front

(in context) outcome of each trial is independent of outcomes and other trial. And a single trial has exactly 2 possible outcomes

#### Back 