Questions and Answers
What is categorical data?
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?
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What makes up the five-number summary?
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What is meant by distribution in terms of data?
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A bell-shaped distribution indicates most data is clustered near the center.
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A bimodal distribution has one peak.
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A skewed distribution has equal values on both sides.
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What is a symmetric distribution?
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What defines a uniform distribution?
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What is the median?
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What is the minimum in a data set?
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What is the maximum in a data set?
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What does range refer to in a data set?
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What is the interquartile range (IQR)?
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What is the first quartile (Q1)?
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What is the third quartile (Q3)?
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What is a histogram?
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What is a dot plot?
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What is a box plot?
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What does mean absolute deviation (MAD) measure?
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What is the formula for adding cells A1, A2, and A3 in a spreadsheet?
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What is the formula for multiplying cells A1, A2, and A3 in a spreadsheet?
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What is the formula for multiplying cells A1 and A3 in a spreadsheet?
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What is the formula for adding cells A1 and A3 in a spreadsheet?
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What is an outlier?
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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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Description
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.