formula of statistics class 7
Answers
Proportion Formula Rules:
Addition: ab+cd=ad+bcbd
Subtraction: ab−cd=ad−bcbd
Multiplication:ab=cd, then ad = bc
Division : abcd=adbc
Set properties:
Commutative property: A∪B=B∪AA∩B=B∩A
Associative property:(A∪B)∪C=A∪(B∪C)(A∩B)∩C=A∩(B∩C)
Algebraic Expression Expansion:
(a+b)2=a2+2ab+b2
(a−b)2=a2−2ab+b2
a2−b2=(a+b)(a−b)
(x+a)(x+b)=x2+x(a+b)+(ab)
Consumer Math Formulas:
Simple Interest, S.I=PTR100,
Where P=Principal, T= Time in years,R=Rate of interest per annum
Rate,R=100×S.IP×T
Principal,P=100×S.IR×T
Time,T=100×S.IR×P
Discount = MP-SP
Principal = Amount – Simple Interest
If Rate of Discount is given, Discount=PastRateofDiscount100
Time and Speed:
Speed=DistancetravelledTimetaken
NumberofRevolution=DistancetravelledCircumferenceofthewheel
Area Formulas for 2D and 3D Figures:
Area of Circle = π r2 Sq units, where r is the radius
Area of Rectangle = l x b Sq.units, where l = length and b is breadth
Total Surface Area for Cube = 6a2 sq.units
Total surface Area of cuboid = 2(lb+bh+hl) Sq.units
Perimeter Formulas
Square = 4s units, where s is side of square
Rectangle= 2(l+b) units, where l is length and b is breadth
Volume Formulas:
Volume of Cube = a3 cu.units
Volume of Sphere=4/3 π r3 cu.units, where r is the radius of the sphere.
Volume of Cylinder= π r2h cu.units, where r is the radius of the base, h is the height of the cylinder.
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