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# Formulas for the Data Analysis Questions on the GRE® Quantitative Reasoning Test

## Solving the Data Analysis Questions on the GRE® Quantitative Reasoning Test is like fixing something at your house. You need a set of tools, and you need to know how to use them.

The tools are the equations needed to solve each particular problem, and Union Test Prep has you covered! In the following chart, you’ll find the essential formulas to solve the Data Analysis Questions on the GRE® Quantitative Reasoning Test.

And you can hone your skills for solving the problems by reading our free study guide, and solving our free practice problems and free flashcards.

Remember that this chart only shows formulas for one part of the test: Data Analysis. Access our other three formula charts for the GRE® Quantitative Reasoning section, here:

Arithmetic

Algebra

Geometry

$$rg = lv - sv$$ rg = range
lv = largest value in the data set
sv = smallest value in the data set

$$\overline{x} = \dfrac{\Sigma x_i}{n}$$ $$\overline{x}$$ = mean
$$x_i$$ = value of each measurement
n = number of measurements

$$Md = (\frac{n+1}{2})^{th}$$ term Md = Median
n = number of measurements (odd)

$$Md = \dfrac{(\frac{n}{2})^{th} \text{ term} + (\frac{n}{2} + 1)^{th} \text{ term}}{2}$$ Md = Median
n = number of measurements (even)

$$s = \sqrt{\Sigma (x_i - \overline{x})^2 \div (n-1)}$$ s = standard deviation
$$\overline{x}$$ = mean
$$x_i$$ = value of each measurement
n = number of measurements

$$V = s^2$$ V = Variance
s = standard deviation

$$CV = RSD = 100 \cdot s \div \overline{x}$$ CV = Coefficient of variation
RSD = Relative standard deviation
s = standard deviation

$$Q1 = \frac{1}{4}(n+1)^{th} term$$
$$Q2 = \frac{2}{4}(n+1)^{th} term$$
$$Q3 = \frac{3}{4}(n+1)^{th} term$$
$$IQR = Q3-Q2$$
Q1 = Lower Quartile
Q2 = Middle Quartile (Median)
Q3 = Upper Quartile
n = number of measurements
IQR = Interquartile range

$$P(n,r) = \dfrac{n !}{(n-r) !}$$ P = number of permutations
n = total number of objects in the set
r = number of choosing objects from the set

$$C(n,r) = \dfrac{n!}{r! \cdot (n-r)!}$$ C = number of combinations
n = total number of objects in the set
r = number of choosing objects from the set

$$p = \frac{d}{t}$$ p = probability of an event
d = desired event
t = total number of possible events

$$P(A \cup B) = P(A) + P(B) - P(A \cap B)$$ $$P(A \cup B)$$ = Probability of A or B
P(A) = Probability of A
P(B) = Probability of B
$$P(A \cap B)$$ = Probability of A and B
Rule of
$$P(A \cap B) = P(A) \cdot P(B)$$ $$P(A \cap B)$$ = Probability of A and B
P(A) = Probability of A
P(B) = Probability of B
Independent
Events
$$P(A \cap B) = 0$$ $$P(A \cap B)$$ = Probability of A and B Mutually
Exclusive
Events
$$P(A \vert B) = \dfrac{P(A \cap B)}{P(B)}$$ $$P(A \vert B)$$ = Probability of A given B
$$P(A \cap B)$$ = Probability of A and B
P(B) = Probability of B
Conditional
Probability
$$P(B \vert A) = \dfrac{P(A \vert B) \cdot P(B)}{P(A)}$$ $$P(B \vert A)$$ = Probability of B given A
$$P(A \vert B)$$ = Probability of A given B
P(B) = Probability of B
P(A) = Probability of A
Bayes’
Theorem
$$P(x) = \dfrac{n!}{x! \cdot (n-x)!} \cdot p^x \cdot q^{n-x}$$ P(x) = Probability of x successes
p = Probability of success in one trial
q = 1 - p = Probability of failure in one trial
n = number of trials
x = number of successes
Binomial
Distribution
Formula