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Summary Statistics (1).

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Summary Statistics (1).

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  • June 18, 2024
  • 3
  • 2023/2024
  • Exam (elaborations)
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Summary statistics
Summary statistics - correct answer-- The first thing you want to do in Data analysis
- describe data sets or relationships between variables with one or a few numbers:
- What is the central value?
- How widely are values spread from the center?
- Are there data that are very atypical?
- Are variables related?

Why central tendency? - correct answer-- You can't report the 1000 values to your boss!
- Describe a whole set of data with a single value that represents a central or typical value
for the distribution.

Mean - correct answer-- the sum of the value of each observation in a dataset divided by the
number of observations

Median - correct answer-- the "middle" number when those numbers are listed in order from
smallest to greatest. When dataset x is ordered:

Mode - correct answer-- the value that appears most often in a set of data values

three main measures of central tendency - correct answer-- mean
- median
- mode

central tendency - correct answer-- do not work on nominal or ordinal scale
- sensitivity to outliers

Measures of variability - correct answer-- Dispersion: variance, standard deviation,
interquartile range, and range

Variance - correct answer-The sum of the squared deviations from the mean divided by the
number of observations minus one.

interquartile range - correct answer-- Difference between the first and third quartiles of the
distribution: Q3 -Q1
- focuses on the central portion of the dataset and is less influenced by outliers than the
range.

Range - correct answer-The maximum value for a variable minus the minimum value for that
variable.

Information from SD - correct answer-- Measure of Variability: SD helps quantify the spread
of data points. Are they tightly clustered or widely scattered?
- Risk/ Uncertainty Assessment: high SD indicates lower consistency (usually a bad signal
for customer feedback or brand perception)

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