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Questions and Answers
What does SOCS stand for?
What does SOCS stand for?
- Standard, Outliers, Central tendency, Shape
- Shape, Orientation, Center, Spread
- Shape, Center, Odd features, Spread (correct)
- Scatter, Observation, Cluster, Summary
What is the first step to find outliers using IQR?
What is the first step to find outliers using IQR?
Find IQR
If a graph is symmetric, what measures of tendency should you use?
If a graph is symmetric, what measures of tendency should you use?
Standard deviation and mean
If a set of data is skewed, what tendency should you use?
If a set of data is skewed, what tendency should you use?
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Study Notes
SOCS Overview
- SOCS stands for Shape, Center, Odd features, and Spread in data analysis.
- Shape refers to the configuration of data points, including the number of clusters present.
- Center encompasses the average (mean) and middle value (median) of the dataset.
- Odd features highlight unusual characteristics such as gaps (missing data) and outliers (extreme values).
- Spread includes measurements of variability, specifically the Interquartile Range (IQR) and range.
Identifying Outliers
- To determine outliers, calculate the Interquartile Range (IQR) first.
- Multiply the IQR by 1.5 to establish a multiplier.
- Compute the lower boundary using Q1 (first quartile) minus 1.5 times the IQR.
- Compute the upper boundary using Q3 (third quartile) plus 1.5 times the IQR.
- Data points outside these boundaries are considered outliers.
Measures of Central Tendency for Symmetric Data
- When data displays symmetry, the standard deviation and mean are appropriate measures of central tendency.
- These measures provide a clearer representation of the data's distribution when it is balanced.
Measures of Central Tendency for Skewed Data
- In datasets showing skewness, the median and Interquartile Range (IQR) should be utilized.
- The median effectively represents the central value without being influenced by extreme values, while the IQR assesses the spread of the middle 50% of the data.
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