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Statistics for Business: Key Concepts and Tools

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  • Population vs Sample

    Population is the entire group of interest; Sample is a subset used to represent the population.

  • Descriptive, Inferential, and Predictive Statistics

    Descriptive summarizes data; Inferential draws conclusions about populations from samples; Predictive forecasts future data trends.

  • Qualitative vs Quantitative Data

    Qualitative data describe categories or qualities; Quantitative data are numerical measurements.

  • Levels of Measurement

    Four levels: Nominal, Ordinal, Interval, and Ratio, each with increasing measurement precision.

  • Nominal Level

    Data categorized without order, e.g., gender or color.

  • Ordinal Level

    Data with a meaningful order but no fixed intervals, e.g., rankings.

  • Interval Level

    Ordered data with equal intervals but no true zero, e.g., temperature in Celsius.

  • Ratio Level

    Ordered data with equal intervals and a true zero, e.g., weight or height.

  • Time Series vs Cross-Sectional Data

    Time Series data are collected over time; Cross-Sectional data are collected at one point in time.

  • Bias in Statistics

    Bias is systematic error causing results to deviate from the true value.

  • Discrete vs Continuous Data

    Discrete data are countable values; Continuous data can take any value within a range.

  • Bar Chart

    A graphical display of categorical data using bars of different heights.

  • Pie Chart

    A circular chart divided into sectors representing relative frequencies.

  • Frequency Distribution

    A table showing the number of occurrences of each data value or category.

  • Relative Frequency Distribution

    Shows the proportion or percentage of total observations for each category.

  • Cumulative Frequency Distribution

    Displays the running total of frequencies up to each class or category.

  • Histogram

    A bar graph representing frequency distribution of continuous data with adjacent bars.

  • Ogive

    A line graph showing cumulative frequencies for classes in a frequency distribution.

  • Pareto Chart

    A bar chart ordered by frequency combined with a cumulative percentage line.

  • Scatter Diagram

    A graph showing the relationship between two quantitative variables.

  • Contingency Table

    A table showing frequency distribution of variables to analyze relationships.

  • Line Chart

    A graph that connects data points with lines, often used for time series data.

  • Arithmetic Mean

    The sum of all data values divided by the number of values.

  • Median

    The middle value when data are ordered from smallest to largest.

  • Mode

    The most frequently occurring value in a data set.

  • Weighted Mean

    The mean calculated by giving different weights to data values.

  • Range

    The difference between the maximum and minimum data values.

  • Variance

    The average of squared deviations from the mean, measuring data spread.

  • Standard Deviation

    The square root of variance, indicating average distance from the mean.

  • Empirical Rule

    In a normal distribution, about 68%, 95%, and 99.7% of data fall within 1, 2, and 3 standard deviations from the mean.

  • Grouped Data

    Data organized into classes or intervals for frequency analysis.

  • Quartiles, Deciles, Percentiles

    Measures dividing data into equal parts: quartiles (4), deciles (10), percentiles (100).

  • Box Plot

    A graphical summary showing median, quartiles, and potential outliers.

  • Outliers

    Data points significantly different from others, possibly indicating variability or errors.