math compo formulas

formula for standard deviation σ

Formula for variance V(x)

Mean x̄

Average

Mode

Most frequent element ( if there are two write both)

Median/ Q2

Middle value when ordered from lowest the highest (if there are two find the average)

Range

Highest number - lowest number

What does standard deviation mean?

How spread out the elements/ numbers are from each other in a data set

Q1 formula

Median of elements below median(Q2)

Q3 formula

Median of elements above median

IQR (interquartile range) formula

Q3-Q1

Outliers

Elements below or above X or Y

X= Q1-1.5•IQR

Y= Q3+1.5•IQR

Whiskers

Smallest and biggest number that isn’t an outlier

Minimum (minX) in statistics

Smallest number in a set

Maximum (MaxX)

Biggest number in a set

In sientific notation

Axis of symmetry

Where line that divides the parabola meets X axis

Minimum (quadratic equations)

Maximum(quadratic equations)

Zeros of F(x)

What intersects the X axis

How to find formula for F(x)

Replace X with one of the zeros to get 0

Sign table

30° to radians (π)

30° = (30°π) ÷ 180

5/3π to degrees

5/3π = 5/3·180°

How do you find sin/cos/tan of an angle?( subtract it from what’s angles)

180°, 360° ( the x axis)

Sin Cos Tan values table

x̂= ? ( on calc what to write) cos

x̂= cos - ¹ =(adj/hyp)

When do you use Pythagoras theorem

When no angles are involved

Formula for exponential growth

y=c•a ×

Final value(y) = initial (c • growth factor(a) ^ time(x)

If a population increases by 28% how do you write the formula for a ^x

( 1+ 28/100) ^x

If a population decreases by 28%, how do you write the formula for a^x?

(1 - 28/100)^x

Initial population© is where on a graph

Where line intersect is the Y axis (3)

what is the function for a minima versus maxima?

Minima = no negative before brackets

Maxima= negative before brackets -(x-2)(x+3)

How do you write a formula for a parabola?

1. Find zeros

2. Put them in(x -/+ 4)(x -/+ 5)

3. Change signs

4. If it’s a maximum add a negative (-)

What does sin(x) +2 shift(x or y value) vs sin(x+2)

Sin(x) +2 = y value

Sin(x+2) = x value

What is the period of a function?

Length of wave

F(x)= cos(x)

F(x)= tan(x)

F(x)= sin(x)

What is surface area measured in?

Cm²

how do you calculate surface area?

Some of all surface areas

how do you find the surface area of a cylinder?

2πr(r+h)

How do you find the surface area of a cone?

πr(l+r)

To find the angle cos of x what do u put

Cos-1 = adj/ hyp

How do you recognise the adjacent hypotenuse and opposite sides?

Adjacent→ Line touching the angle

How do you find the length of a right angle triangle using sin cos or tan?

Sin(angle) =opp/x

Formula for P(AηB) if the events are independent

P(A) • P(B)

Formula for P(A/B)

P(AnB)

—-

P(B)

Formula for P(A’) or P(A- ) ( line on top)

U -P(A)

Formula for P(AuB)

P(A)+ P(B) -P(AnB)

What are independent events?

Occurrence of one events doesn’t affect the other

What are exhaustive events?

Events that cover all possible outcomes

Mutually exclusive events

Events that cannot happen at the same time