# Data, Statistics, and Probability Formulas for the PRAXIS® Core Academic Skills for Educators Mathematics Test

The importance of Data, Statistics, and Probability for the “PRAXIS Core Academic Skills for Educator: Mathematics” Test (5733) increased after the revision. It was initially one of the smaller sections of the test (20% of the questions) but it increased all the way to 32% of the questions, to become the second most important section. You’re probably asking yourself why. The reason is because data, statistics, and probability are important skills for educators to master, not only to teach, but also to use when organizing data and tracking their students’ progress.

Here you’ll find the most important Data, Statistics, and Probability formulas for the current “PRAXIS Core Academic Skills for Educator: Mathematics” Test (5733).

## Data Interpretation and Representation, Statistics, and Probability Formulas

Category Formula Symbols
Data
Analysis,
Probability, and
Statistics
$$\overline{x} = \dfrac{\Sigma x_i}{n}$$ $$\overline{x}$$ = sample mean
$$x_i$$ = value of each measurement
$$n$$ = number of measurements
Data
Analysis,
Probability, and
Statistics
$$Md = (\frac{n+1}{2})^{th} \ term$$ $$Md$$ = Median
$$n$$ = number of measurements (odd)
Data
Analysis,
Probability, and
Statistics
$$Md = \dfrac{(\frac{n}{2})^{th} \ term + (\frac{n}{2} +1)^{th} \ term}{2}$$ $$Md$$ = Median
$$n$$ = number of measurements (even)
ACT$$^\circledR$$
Science
Assessment
$$rg=lv-sv$$ rg = range
lv = largest value in the data set
sv = smallest value in the data set
Data
Analysis,
Probability, and
Statistics
$$s = \sqrt{\Sigma(x_i- \overline{x})^2 / (n-1)}$$ $$s$$ = Standard Deviation
$$\overline{x}$$ = mean
$$x_i$$ = value of each measurement
$$n$$ = number of measurements
Data
Analysis,
Probability, and
Statistics
$$V = s^2$$ $$V$$ = Variance
$$s$$ = Standard Deviation
Statistics
and
Problem
Solving
$$p= \frac{d}{t}$$ $$p$$ = Probability of an Event
$$d$$ = Number of Ways Desired Event Can Occur
$$t$$ = Total Number of Possible Events