Podcast
Questions and Answers
What is the term used for the 100-quantiles?
What is the term used for the 100-quantiles?
Percentiles
What is the purpose of quartiles?
What is the purpose of quartiles?
Quartiles provide information about a distribution's center, spread, and shape.
What is the most widely used form of quantiles?
What is the most widely used form of quantiles?
Median, quartiles, and percentiles
What is the relationship between the first quartile (Q1) and the 25th percentile?
What is the relationship between the first quartile (Q1) and the 25th percentile?
What does the third quartile (Q3) represent?
What does the third quartile (Q3) represent?
What does the interquartile range (IQR) measure?
What does the interquartile range (IQR) measure?
What is the formula for calculating the interquartile range (IQR)?
What is the formula for calculating the interquartile range (IQR)?
Given the salary data (in thousands of dollars): 30, 36, 47, 50, 52, 52, 56, 60, 63, 70, 70, 110. What is the IQR for this data?
Given the salary data (in thousands of dollars): 30, 36, 47, 50, 52, 52, 56, 60, 63, 70, 70, 110. What is the IQR for this data?
What is the median of the weights of the boxes of raisins?
What is the median of the weights of the boxes of raisins?
Identify the first quartile (Q1) from the weights of the boxes of raisins.
Identify the first quartile (Q1) from the weights of the boxes of raisins.
What is the maximum weight of the boxes of raisins?
What is the maximum weight of the boxes of raisins?
Calculate the range of the weights of the boxes of raisins.
Calculate the range of the weights of the boxes of raisins.
Construct the lower hinge for the box plot from the given monetary data.
Construct the lower hinge for the box plot from the given monetary data.
What is the third quartile (Q3) for the hourly collections from the Salvation Army kettle?
What is the third quartile (Q3) for the hourly collections from the Salvation Army kettle?
Using the hourly collections, what is the sum of the values between Q1 and Q3?
Using the hourly collections, what is the sum of the values between Q1 and Q3?
How many data points lie above the median in the hourly collections?
How many data points lie above the median in the hourly collections?
What distinguishes ordinal data from nominal data?
What distinguishes ordinal data from nominal data?
Why can't mathematical operations be performed on nominal data?
Why can't mathematical operations be performed on nominal data?
What is one key feature of interval data that makes it different from ratio data?
What is one key feature of interval data that makes it different from ratio data?
Identify an example of ordinal data and explain its order.
Identify an example of ordinal data and explain its order.
What types of central tendency measures can be utilized with ordinal data?
What types of central tendency measures can be utilized with ordinal data?
How are ratio data characterized in terms of mathematical operations?
How are ratio data characterized in terms of mathematical operations?
Provide an example of quantitative data and explain why it is considered measurable.
Provide an example of quantitative data and explain why it is considered measurable.
What makes the difference between measuring temperature in interval data and ratio data?
What makes the difference between measuring temperature in interval data and ratio data?
How do outliers affect the mean in a dataset?
How do outliers affect the mean in a dataset?
What is the weighted mean and why is it useful?
What is the weighted mean and why is it useful?
Calculate the final weighted average for three exams with scores 80, 80, and 95 and weights 40%, 40%, and 20%.
Calculate the final weighted average for three exams with scores 80, 80, and 95 and weights 40%, 40%, and 20%.
What does a small deviation between mean and median suggest about a dataset?
What does a small deviation between mean and median suggest about a dataset?
Define the mode in a dataset and provide an example.
Define the mode in a dataset and provide an example.
What is the significance of missing values in an attribute like horsepower?
What is the significance of missing values in an attribute like horsepower?
How does examining measures of data spread contribute to understanding a dataset?
How does examining measures of data spread contribute to understanding a dataset?
Why might certain attributes have significant deviations between mean and median?
Why might certain attributes have significant deviations between mean and median?
What is a potential disadvantage of ignoring tuples with missing values in a dataset?
What is a potential disadvantage of ignoring tuples with missing values in a dataset?
Why might manually filling in missing values be impractical?
Why might manually filling in missing values be impractical?
What is the risk of using a global constant to fill in missing values?
What is the risk of using a global constant to fill in missing values?
When should the mean be used to replace a missing value, and when should the median be favored?
When should the mean be used to replace a missing value, and when should the median be favored?
How can the mean or median be utilized for filling missing values within classes?
How can the mean or median be utilized for filling missing values within classes?
What methods can be used to determine the most probable value for filling in missing data?
What methods can be used to determine the most probable value for filling in missing data?
Define min-max normalization in the context of data scaling.
Define min-max normalization in the context of data scaling.
What is a potential drawback of using the most probable value approach for missing data?
What is a potential drawback of using the most probable value approach for missing data?
What is the interquartile range if the first quartile is 64 and the third quartile is 77?
What is the interquartile range if the first quartile is 64 and the third quartile is 77?
How do you calculate the first quartile when the sample size is odd, for example, the lower half consists of values 64 and 64?
How do you calculate the first quartile when the sample size is odd, for example, the lower half consists of values 64 and 64?
What does a box plot visually represent in terms of data distribution?
What does a box plot visually represent in terms of data distribution?
What marks the mid-point of a data set in a box plot?
What marks the mid-point of a data set in a box plot?
What is indicated by the lower whisker in a box plot?
What is indicated by the lower whisker in a box plot?
In a dataset, if 75% of scores fall below a certain value, what is this value called?
In a dataset, if 75% of scores fall below a certain value, what is this value called?
What is the five number summary in statistics?
What is the five number summary in statistics?
How can you determine if there are outliers in a dataset based on a box plot?
How can you determine if there are outliers in a dataset based on a box plot?
Flashcards
Nominal Data
Nominal Data
Categorical data without a natural order or ranking.
Ordinal Data
Ordinal Data
Categorical data with a clear, ordered relationship among values.
Quantitative Data
Quantitative Data
Numeric data that can be measured and has numerical values.
Interval Data
Interval Data
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Ratio Data
Ratio Data
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Mode
Mode
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Median
Median
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Mean
Mean
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Outliers
Outliers
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Weighted Mean
Weighted Mean
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Deviation
Deviation
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Dispersion of Data
Dispersion of Data
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Missing Values
Missing Values
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First Quartile (Q1)
First Quartile (Q1)
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Third Quartile (Q3)
Third Quartile (Q3)
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Interquartile Range (IQR)
Interquartile Range (IQR)
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Box Plot
Box Plot
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Five Number Summary
Five Number Summary
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Upper Whisker
Upper Whisker
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Lower Whisker
Lower Whisker
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Ignoring tuples
Ignoring tuples
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Manual filling
Manual filling
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Global constant replacement
Global constant replacement
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Central tendency
Central tendency
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Class-based filling
Class-based filling
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Most probable value
Most probable value
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Decision trees
Decision trees
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Min-max normalization
Min-max normalization
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Minimum (Min)
Minimum (Min)
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Maximum (Max)
Maximum (Max)
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Quartiles
Quartiles
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Percentiles
Percentiles
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Second Quartile (Q2)
Second Quartile (Q2)
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Measuring Spread
Measuring Spread
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Dataset Example
Dataset Example
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Study Notes
Machine Learning 702AI0C012 Unit-2: Data Exploration, Pre-processing and Visualization
- This unit covers data exploration, pre-processing, and visualization techniques for machine learning.
- Topics include missing value treatment, handling categorical data (mapping ordinal features, encoding class labels, one-hot encoding for nominal features), outlier detection and treatment, feature engineering (variable transformation, variable creation, and feature selection), and data visualization (box plots).
- The workflow of machine learning involves:
- Input data
- Preparing the model (data exploration and pre-processing)
- Learning (model selection, training, and tuning)
- Performance evaluation (testing & validating models)
- Performance improvement (refining models & using ensembling techniques like bagging and boosting).
Data Types in Machine Learning
- Data is categorized as qualitative (categorical) or quantitative (numerical).
- Categorical data comprises:
- Nominal data: unordered categories like blood type, nationality, and gender.
- Ordinal data: ordered categories like customer satisfaction levels, grades, and hardness of metal.
- Numerical data includes:
- Interval data: data with meaningful intervals, like temperature or date, but no true zero point.
- Ratio data: data with a true zero point, like height, weight, and salary.
Data Attributes
- Discrete attributes have a finite or countably infinite number of values (e.g., roll number, street number, gender).
- Numeric attributes can take on any value within a range (e.g., student counts, ranks).
- Binary attributes have only two values (e.g., male/female, yes/no).
- Continuous attributes can take on any real number (e.g., length, height, price).
Descriptive Statistics
- Measures of central tendency:
- Mean: the average of all data values.
- Median: the middle value when data is ordered.
- Mode: the most frequently occurring value.
- Measures of dispersion:
- Range: the difference between the largest and smallest values.
- Interquartile range (IQR): the difference between the 75th and 25th percentiles.
- Standard deviation: a measure of how spread out the data is from the mean.
- Variance
Data Visualization - Box Plots
- Box plots display data through quartiles, median, minimum, maximum, and outliers to show data distribution and skewness.
- Box plots aid in visualizing the five-number summary (minimum, first quartile, median, third quartile, maximum), which shows the center, spread & shape of data.
- They are helpful in identifying outliers, dispersion, mean values, and signs of skewness in given data.
Handling Missing Values
- Three main categories of methods to handle missing values:
- Skipping: discarding data points or features with missing values.
- Imputation: replacing missing values with estimated values based on other data points or features.
- Methods for imputation:
- Global constant
- Central tendency (mean or median)
- Most probable value (mode)
- Choosing a method depends on the context and strategy of analysis that would minimize loss or skewing of results when the data is discarded.
Normalization
- Techniques to convert different scales of data to a consistent scale:
- Min-max normalization: shifts data to range between 0 and 1.
- Z-score normalization: standardizes data to mean = 0, std dev = 1.
Outlier Treatment
- Three approaches to treat outliers aside from removal:
- Trimming: reducing the effect of outliers (weights)
- Mean/Median: replace outlier values using mean/median
- Log transformation: transform the variable to reduce skewness
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