# 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).

Algebra Formulas for the PRAXIS® Core Academic Skills Test

Geometry Formulas for the PRAXIS® Core Academic Skills Test

Number and Quantity Formulas for the PRAXIS® Core Academic Skills Test

## 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 = rangelv = largest value in the data setsv = 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 |

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