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Published byBasil Andrews Modified over 6 years ago

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Statistics 300: Introduction to Probability and Statistics Section 2-2

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Chapters 2 and 3 Describing data Exploring data Comparing data

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Describe or Infer? Descriptive statistics Inferential statistics

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Descriptive Statistics Describe characteristics of (statistics) data samples as they are without extending their meaning beyond the data sample Chapters 2 through 6

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Inferential Statistics Based on a sample or multiple samples, make inferences (judgments) about the population(s) from which the sample(s) came. Chapters 7 through 12

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Descriptive Statistics Distribution Center Variation Position

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Distribution How are the data spread out? Where are data plentiful? Where are data rarely found?

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Distribution Frequency tables Pictures

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Frequency Tables Identify categories for the data – Nominal categories or – Interval categories Count the number of observations in each category

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Frequency Tables Interval Categories Class Limits Class Midpoints Class Boundaries

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Class Limits Convenient values representing the range of values in a class Lower class limit Upper class limit

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Class Midpoints Values that are midway between the lower and upper class limits of each class To compute, average the two class limits

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Class Boundaries Values that truly separate one class from the next To compute: average the upper class boundary and the following lower class boundary

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Frequency Tables Frequency Relative frequency Cumulative frequency Cumulative relative frequency

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Frequency Count of the observations that belong to each class

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Relative Frequency Frequency divided by the total number of observations

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Cumulative Frequency Sum of the frequencies in the first class through the current class

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Cumulative Relative Frequency Sum of the relative frequencies in the first class through the current class

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Distribution Frequency tables Pictures

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Histograms and Bar Charts Pareto Charts Pie Charts

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