Maths Standard Preliminary formulas
What is the b in the g-i formula?
y-intercept
What is the blood alcohol content for females?
(10N - 7.5H) ÷ 5.5M
What is the blood alcohol content for males?
(10N - 7.5H) ÷ 6.8M
What is the formula for percentage error?
(absolute error÷measurment) x 100%
How many centimetres cubed equals 1 cm cubed?
1 000 000cm3 = 1m3
What is a grouped frequency table?
1. Classes are listed in ascending order 2. Tally column records the number of times the scored occurred 3. Frequency column is the count of each outcome or class
How do you find sample standard deviation
1.stats mode 1 2.enter your data and press m+ 3. calculate ALPHA 5
How do you find population standard deviation?
1.stats mode 1 2.enter your data and press m+ 3. calculate ALPHA 6
Area of a semi circle
1/2 πr²
Volume of a triangular prism
1/2bh x H
Volume of a rectangular pyramid
1/3 x lb x h
Volume of a square pyramid
1/3 x s² x h
Volume of a cone
1/3 x πr² x h
How many centimetres squared equals metres squared?
10000cm2 = 1m2
How many metres squared equals 1 hectare?
10000m2 = 1ha
Open cylinder SA formula
2πr ²
Closed cylinder SA formula
2πr ² = 2πrh
Volume of a sphere
4 ÷3 πr3
How many kilojoules equal 1 calorie?
4.184kj = 1cal
Sphere SA formula
4πr ² or 2πd
What is compound interest formula
A = 1(P +/- r)n
Formula for fuel consumption
Amount of fuel (L) X 100 ÷ distance travelled (km)
How do you calculate the number of hours?
BAC ÷ 0.015
What is a stratified sample?
Categories of a population are chosen such as male/female. The members are randomly selected from each category
What is a frequency histogram?
Column graph that uses the score as the horizontal axis and the frequency as the vertical axis
What is a cumulative frequency histogram?
Column graph with the score as the horizontal axis and cumulative frequency as the vertical axis.
What is a pareto chart?
Combines a frequency histogram and cumulative frequency line graph
What is Fried's Rule?
D = age (months) x adult dosage ÷ 150
What is Youngs Rule?
D = age (years) x adult dosage ÷ age (years + 12)
What is Clarks Rule?
D = weight (kg) x adult dosage ÷ 70
What is discrete?
Data can only take exact numerical values such as 0 and 1
What is continuous?
Data that can take any numerical value such as 71.25
What is numerical?
Discrete and continuous
Calculating post-GST
Divide the total cost by 110%
What is the relative frequency formula?
Frequency of a data value ÷ number of data values
What is the unit of measurement?
Going down you times, going up you divide
What is the m in the g-i formula?
Gradient of the line
Range formula
Highest score - lowest score
What is the H in BAC?
Hours spent drinking
Simple interest formula
I=Prn
What is a cumulative frequency polygon?
Line graph constructed by joining the top right-hand corner of the rectangles
What is a frequency polygon?
Line graph of a frequency table. It can be joined by joining the mid-points of the bars of the histogram
What is the M in BAC?
Mass in kilograms
What is the upper and lower quartile?
Median of the upper and lower half of data
What is a random sample?
Members of the population have an equal chance of being selected
What is a self-selected sample?
Members of the population volunteer themselves
What is the median
Middle score
What is the mode
Mose common score
How do you calculate distance, speed and time?
Using the triangle
Area of a parallelogram
bh
What is the stopping distance formula?
d = 5vt/18 + r2/170 v=speed t=time to stop r=reaction time
What is Dn in s-l-d formula?
depreciated amount per time period x number of time periods
Trapezodial formula
h ÷ 2 (df + dl)
Volume of a rectangular prism
lb x h
What is the expected frequency formula?
n x p =np
Cube volume formula
s3 x h
What is the gradient formula?
vertical rise ÷ horizontal run
What is the gradient-intercept formula?
y = mx + b
Area of a sector
θ ÷ 360 x πr²
Area of an annulus
π(R² - r²)
Cone SA area formula
πr ² + πrl
Area of a circle formula
πr²
Volume of a cylinder
πr²h
What is ordinal
Name does indicate order
What is a nominal?
Name does not indicate order
What is categorical?
Nominal and Ordinal
What is the N is BAC?
Number of drinks
What is the expected frequency?
Number of time that a particular event should occur
What is a systematic sample?
Population is divided into a structured sample size. The members are orderly selected from this structure, such as each 3rd person order.
How do you describe the skewness of a datasets?
Positively skewed has a long tail on the right hand side and negatively skewed has a long tail on the left hand side
What is Vo in s-l-d formula?
Purchase price
Outlier formula lower quartile
Q1 - 1.5 x IQR
Outlier formula upper quartile
Q3 + 1.5 x IQR
Interquartial range
Q3 - Q1
Straight line depreciation formula
S = Vo - Dn
What is an outlier?
Separated from the majority of the data
What is the sample space?
Set of all possible outcomes
How do you describe the shape of datasets?
Smoothness, symmetry and number of modes
What is standard deviation?
Spread of data about the mean
Mean formula
Sum of scores ÷ number of scores OR x = E times f times x ÷ E times f
What is the absolute error?
The different between the actual value and measured value
What is cumulative frequency?
The frequency of the score plus the frequency of all the scores.
What is the precision or limit of reading?
The smallest unit on the measuring instrument