Equations

Question 1

Equation of a straight line

Answer 1

y - y1 = m (x - x1)

Question 2

The midpoint between two coordinates

Answer 2

(x1 + x2)/2 , (y1 + y2)/2

Question 3

Equation of a circle

Answer 3

(x + a)^2 + (y + b)^2 = r^2

Question 4

The distance between two points

Answer 4

d = Square root - (x2-x1)^2 + (y2-y1)^2

Question 5

differentiation - First principles

Answer 5

f’(x) = lim (h->0) f(x+h)-f(x) / h

Question 6

dy/dx

Answer 6

Gradient function -
y = x^n
dy/dx = nx^n-1

Question 7

What is the stationary point on a graph

Answer 7

Where dy/dx = 0

Question 8

Factorials

Answer 8

n!

Question 9

Binomial Theorem

Answer 9

nCr

Question 10

stats - what is n

Answer 10

amount of pieces of data

Question 11

stats - what is Ex

Answer 11

total of all data

Question 12

stats - what is Ex / n

Answer 12

mean or x bar

Question 13

What is variance

Answer 13

this is a measure of spread that takes all values into account - average squared distance from the mean.

Question 14

Equation of variance

Answer 14

o^2 = (Ex^2 / n ) - mean^2

Question 15

Equation of standard deviation

Answer 15

standard deviation = square root of variance

Question 16

What happens to data when you code by + or -

Answer 16

The variance and standard deviation stays the same but the mean changes by the +/- value

Question 17

What happens to data when you code by x or /

Answer 17

The variance and standard deviation stay the same but the mean changes by the x or / value.

Question 18

What is qualitative data

Answer 18

Non-numerical values

Question 19

What is quantitative discrete data

Answer 19

Numerical value - Specific value

Question 20

What us quantitative continuous data

Answer 20

Numerical value - can take any decimal value