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CHAPTER 2 TOPICS – TRIOLA
2.1 – Overview
- General divisions of statistics:
- Descriptive
- Inferential
- Important characteristics of data
- Center
- Variation
- Distribution
- Outliers
- Time
2.2 – Frequency Distributions
- Advantage
- Disadvantage
- Lower and upper class limits
- Class boundaries
- Class midpoints
- Class width
- Relative frequency
- Cumulative frequency
- Constructing frequency distributions
2.3 – Visualizing Data
- Histograms
- Relative frequency histograms
- Sketching histograms
- From raw data
- From grouped data
- Frequency polygon
- Ogive
- Dot plots
- Stem and leaf plots
- Pareto chart
- Pie charts
- Scatter diagram
- Time series graph
2.4 – Measures of the Center
- Mean
- Median
- Mode
- Midrange
- Using the formulas to find the mean for raw data
- Using the calculator to find the mean and median
- From raw data
- From grouped data
- Weighted mean
- Skewness
- Symmetric
- Skewed to the right
- Skewed to the left
2.5 – Measures of Variation
- Range
- Variance
- Standard deviation
- Using the formulas to find the standard deviation for raw data
- Using the calculator to find the standard deviation
- From raw data
- From grouped data
- Comparing variation in different populations
- Interpreting the standard deviation
- Range rule of thumb
- Usual values
- Minimum and maximum usual values
- Unusual values
- Empirical rule
- Chebyshev’s theorem
2.6 – Measures of relative standing
- z scores
- Usual and unusual values
- Quartiles
- Percentiles
- Finding the percentile corresponding to a particular score
- Finding the score corresponding to a particular percentile
- Interquartile range
2.7 Exploratory Data Analysis
- Outliers
- Box plots
- Five number summary
- Constructing a box plot by hand and with the calculator