Spm-Add-Maths-Formula-List-Form4

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The variance is a measure of the mean for the square of the deviations from the mean. The standard deviation refers to the square root for the variance. Effects of data changes on Measures of Central Tendency and Measures of dispersion Measures of Central Tendency Measures of dispersion Terminology Convert degree to radian: Convert radian to degree: Remember: � 180 = π rad � 360 = 2π rad 180 � × π radians degrees π × � 180 http://www.one-school.net/notes.html 08 Circular Measures 8 ONE-SCHOOL.NET Data are changed uniformly with + k − k × k ÷ k Mean, median, mode + k − k × k ÷ k Range , Interquartile Range No changes × k ÷ k Standard Deviation No changes × k ÷ k Variance No changes × k 2 ??? 0.7 rad o π x = ( x× )radians 180 180 xradians = ( x× )degrees π O ??? 1.2 rad ÷ k 2
Length and Area Arc Length: s = rθ Length of chord: θ l = 2rsin 2 Gradient of a tangent of a line (curve or straight) Differentiation of Algebraic Function Differentiation of a Constant y = a a is a constant dy = 0 dx Example y = 2 dy = 0 dx dy δ y = lim ( ) dx δ x→0 δ x http://www.one-school.net/notes.html Area of Sector: 1 2 2 A = r θ 09 Differentiation 9 Area of Triangle: 1 2 2 A = r sinθ Differentiation of a Function I n y = x dy = nx dx n−1 Example 3 y = x dy 2 = 3x dx Differentiation of a Function II y = ax dy = dx = = Example y = 3x dy = 3 dx 11 − 0 ax ax a ONE-SCHOOL.NET r = radius A = area s = arc length θ = angle l = length of chord Area of Segment: 1 2 2 A = r ( θ −sin θ )
Page 1 and 2: ONE-SCHOOL.NET Add Maths Formulae L
Page 3 and 4: Fundamental if Indices Zero Index,
Page 5: Area of triangle: Area of Triangle
Page 10 and 11: Differentiation of a Function III n
Page 12 and 13: Gradients of tangents, Equation of
Page 14 and 15: Sine Rule: a sin A = b sin B c sin
Page 16: http://www.one-school.net/notes.htm

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