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	\(\% = \frac{\vert b-a \vert }{b} \cdot 100= \frac{c}{b} \cdot 100\)	% = % 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	\(s=\sqrt{\Sigma(x_i-\overline{x})^2/(n-1)}\)	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