Illustrative Math Algebra 1 Unit 1 Flashcards

Data Types

• Categorical data consists of categories, e.g., types of trees in an area.
• Numerical data involves numbers or measurements, e.g., weights of dogs.

Questions and Variability

• Non-statistical questions can be answered with specific measurements, e.g., duration of a math class.
• Statistical questions require data and expect variability, e.g., popularity of musical artists in a school.

Data Summary Techniques

• The five-number summary includes minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum values, often depicted in box plots.
• Distribution shows how data values are spread; visualized through dot plots, histograms, and box plots.

Distribution Shapes

• Bell-shaped distribution displays data clustered around the center, resembling a bell curve.
• Bimodal distribution features two distinct data peaks, e.g., common values in a dataset like 2 and 7.
• Skewed distribution has one side with more extreme values than the other.
• Symmetric distribution has a vertical line of symmetry at its center.
• Uniform distribution shows evenly spread data values across the range.

Statistical Measures

• The median is the central value of a sorted data set; if two middle values exist, their average is taken.
• Minimum is the smallest value, while maximum is the largest in a dataset.
• Range measures data spread, calculated as maximum minus minimum.
• Interquartile range (IQR) highlights variability by subtracting the first quartile (Q1) from the third quartile (Q3).
• Quartiles divide data into quarters, with Q1 being the median of the lower half and Q3 for the upper half.

Visual Representation

• Histograms display frequency distributions using vertical bins.
• Dot plots summarize data with dots above each value on a horizontal axis.
• Box plots illustrate the five-number summary through a visual format.

Data Anomalies and Analysis

• Mean Absolute Deviation (MAD) indicates the average distance of data values from the mean.
• Outliers are unusual data points that deviate significantly from the rest of the dataset, such as values of 75 and 85 in a specific context.

Spreadsheet Functions

• Use =sum(A1:A3) to add values in cells A1, A2, and A3.
• The product of cells A1, A2, and A3 is calculated with =Product(A1:A3).
• Multiply cells A1 and A3 using =A1*A3.
• Add values in cells A1 and A3 with =A1+A3.

Explore key concepts in the first Unit of Algebra 1 with these flashcards. This quiz covers essential terms such as categorical and numerical data, as well as non-statistical questions. Test your understanding and prepare for assessments with this interactive learning tool.