Data Analysis, Statistics, and Probability Formulas for the TSIA2 Assessment
In the TSIA2, you’ll find questions about data analysis, statistics, and probability. These questions actually often involve more “reading” skills than math skills. It sounds counterintuitive, but it’s true. The #1 skill you need for solving these problems is reading and understanding the problem and the data you have. After that, you just need to compute and apply the proper formula, and to help you with that we have compiled the essential formulas you’ll need for the Data Analysis, Statistics, and Probability problems. Just see the chart, below.
You’ll also want to check out our other two math formula charts for this test:
Formulas for Algebra and Functions
Formulas for Geometry and Measurement
And for practice using these formulas and the ones in our other TSIA2 charts, try our free TSIA2 test prep.
Data Analysis, Statistics, and Probability Formulas
Category  Formula  Symbols  Comment 

Data Analysis Statistics and Probability 
\(Du=Su \cdot \dfrac{Du}{Su}=Su \cdot CF\)  Du = Desired Unit Su = Starting Unit CF = Conversion Factor 
Multiple steps may be needed. 
Data Analysis Statistics and Probability 
\(a \cdot b\% =a \cdot \frac{b}{100}\)  a = any real number b% = any percent 
Remember to simplify if necessary 
Data Analysis Statistics and Probability 
\(\% = \frac{\vert ba \vert }{b} \cdot 100= \frac{c}{b} \cdot 100\)  % = % increase or decrease a = new value b = original value c = amount of change 

Data Analysis Statistics and Probability 
\(\overline{x}= \dfrac{\Sigma x_i}{n}\)  \(\overline{x}\) = mean \(x_i\) = value of each measurement n = number of measurements 

Data Analysis Statistics and Probability 
\(Md=(\dfrac{n+1}{2})^{th} term\)  Md = median n = number of measurements (odd) 

Data Analysis Statistics and Probability 
\(Md=\dfrac{(\frac{n}{2})^{th} term + (\frac{n+1}{2})^{th} term }{2}\)  Md = median n = number of measurements (even) 

Data Analysis Statistics and Probability 
\(Q1=\frac{1}{4}(n+1)^{th}\) term \(Q2= Q3  Q1\) \(Q3= \frac{3}{4}(n+1)^{th}\) term 
Q1 = Lower Quartile Q2 = Middle Quartile Q3 = Upper Quartile n = number of measurements 

Data Analysis Statistics and Probability 
\(s=\sqrt{\Sigma(x_i\overline{x})^2/(n1)}\)  s = standard deviation \(\overline{x}\) = mean \(x_i\) = value of each measurement n = number of measurements 

Data Analysis Statistics and Probability 
\(V=s^2\)  v = Variance s = standard deviation 

Data Analysis Statistics and Probability 
\(CV=RSD=100 \cdot \dfrac{s}{\overline{x}}\)  CV = Coefficient of variation RSD = Relative standard deviation s = standard deviation 

Data Analysis Statistics and Probability 
\(p = \dfrac{d}{t}\)  p = probability of an event d = number of times the desired event can occur t = total number of events 
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