Illustrative Math Algebra 1 Unit 1 Flashcards

Questions and Answers

What is categorical data?

Data organized into categories (correct)

Data where values are numbers

Data with no variability

Data analyzed using statistical methods

What is a non-statistical question?

A question which can be answered by a specific measurement where no variability is anticipated.

What is numerical data?

Data where the values are numbers, measurements, or quantities.

What is a statistical question?

A question that can only be answered using data and where we expect variability. Signup and view all the answers

What makes up the five-number summary?

Minimum, lower quartile, median, upper quartile, maximum. Signup and view all the answers

What is meant by distribution in terms of data?

It tells how many of each value or category are present in the data set. Signup and view all the answers

A bell-shaped distribution indicates most data is clustered near the center.

True Signup and view all the answers

A bimodal distribution has one peak.

False Signup and view all the answers

A skewed distribution has equal values on both sides.

False Signup and view all the answers

What is a symmetric distribution?

A distribution with a vertical line of symmetry. Signup and view all the answers

What defines a uniform distribution?

Data values are evenly distributed throughout the range of data. Signup and view all the answers

What is the median?

The number exactly in the middle of a sequential data set. Signup and view all the answers

What is the minimum in a data set?

The smallest value in the data set. Signup and view all the answers

What is the maximum in a data set?

The largest value in the data set. Signup and view all the answers

What does range refer to in a data set?

The difference between the maximum and the minimum. Signup and view all the answers

What is the interquartile range (IQR)?

The difference between the third and first quartiles. Signup and view all the answers

What is the first quartile (Q1)?

The median of the lower half of the data. Signup and view all the answers

What is the third quartile (Q3)?

The median of the upper half of the data. Signup and view all the answers

What is a histogram?

A graph of vertical 'bins' representing the frequency distribution. Signup and view all the answers

What is a dot plot?

A graphical representation that summarizes data by the number of dots above each value. Signup and view all the answers

What is a box plot?

A graphical representation showing the five-number summary of data. Signup and view all the answers

What does mean absolute deviation (MAD) measure?

The average distance between each data value and the mean. Signup and view all the answers

What is the formula for adding cells A1, A2, and A3 in a spreadsheet?

=sum(A1:A3) Signup and view all the answers

What is the formula for multiplying cells A1, A2, and A3 in a spreadsheet?

=Product(A1:A3) Signup and view all the answers

What is the formula for multiplying cells A1 and A3 in a spreadsheet?

=A1*A3 Signup and view all the answers

What is the formula for adding cells A1 and A3 in a spreadsheet?

=A1+A3 Signup and view all the answers

What is an outlier?

A data value that is unusual and differs significantly from other values. Signup and view all the answers

Study Notes

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.

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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.