Given a set of data, select an appropriate method to represent the data, depending on whether it is numerical or categorical data and on whether it is univariate or bivariate.

### Clarifications

*Clarification 1:* Instruction includes discussions regarding the strengths and weaknesses of each data display.

*Clarification 2:* Numerical univariate includes histograms, stem-and-leaf plots, box plots and line plots; numerical bivariate includes scatter plots and line graphs; categorical univariate includes bar charts, circle graphs, line plots, frequency tables and relative frequency tables; and categorical bivariate includes segmented bar charts, joint frequency tables and joint relative frequency tables.

*Clarification 3:* Instruction includes the use of appropriate units and labels and, where appropriate, using technology to create data displays.

**Subject Area: **Mathematics (B.E.S.T.)

**Grade:** 912

**Strand: **Data Analysis and Probability

**Date Adopted or Revised: **08/20

**Status:** State Board Approved

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**Related Access Points **

**Access Point Number** |
**Access Point Title** |

MA.912.DP.1.AP.1a | Given a set of data, select an appropriate table or graph to represent categorical data and whether it is univariate or bivariate. |

MA.912.DP.1.AP.1b | Given a set of data, select an appropriate table or graph to represent numerical data and whether it is univariate or bivariate. |

**Related Resources **

#### Formative Assessments

**Name** |
**Description** |

Winning Seasons | Students are asked to construct a histogram corresponding to a given set of data. |

Trees in the Park | Students are asked to construct a box plot corresponding to a given set of data. |

Flowering Trees | Students are asked to determine whether each of two given dot plots are consistent with a given histogram. |

A Tomato Garden | Students are asked to construct a dot plot corresponding to a given set of data. |

#### Lesson Plans

**Name** |
**Description** |

Where Should I Go to College? | Students will create and use data displays to determine which college is the right fit for him or her / for hypothetical students. They will justify the data displays they selected, present this information to classmates and write an essay justifying their choice. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |

Scatter plots, spaghetti, and predicting the future | Students will construct a scatter plot from given data. They will identify the correlation, sketch an approximate line of fit, and determine an equation for the line of fit. They will explain the meaning of the slope and y-intercept in the context of the data and use the line of fit to interpolate and extrapolate values. |

#### Original Student Tutorials

**Name** |
**Description** |

Movies Part 2: What’s the Spread? | Follow Jake along as he relates box plots with other plots and identifies possible outliers in real-world data from surveys of moviegoers' ages in part 2 in this interactive tutorial.
This is part 2 of 2-part series, click HERE to view part 1. |

Movies Part 1: What's the Spread? | Follow Jake as he displays real-world data by creating box plots showing the 5 number summary and compares the spread of the data from surveys of the ages of moviegoers in part 1 of this interactive tutorial.
This is part 1 of 2-part series, click HERE to view part 2. |

#### Perspectives Video: Professional/Enthusiast

**Student Resources**

#### Original Student Tutorials

**Name** |
**Description** |

Movies Part 2: What’s the Spread?: | Follow Jake along as he relates box plots with other plots and identifies possible outliers in real-world data from surveys of moviegoers' ages in part 2 in this interactive tutorial.
This is part 2 of 2-part series, click HERE to view part 1. |

Movies Part 1: What's the Spread?: | Follow Jake as he displays real-world data by creating box plots showing the 5 number summary and compares the spread of the data from surveys of the ages of moviegoers in part 1 of this interactive tutorial.
This is part 1 of 2-part series, click HERE to view part 2. |