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True or false: what an average tells you

Exercise and reference answers

Questions
  1. Statement is true
    Yes
    Statement
    An average is a measure of central tendency.
  2. Statement is true
    Yes
    Statement
    Two sets with the same mean can be spread very differently.
  3. Statement is true
    No
    Statement
    An average alone describes a data set completely.
  4. Statement is true
    Yes
    Statement
    A measure of dispersion is needed as well.
  5. Statement is true
    Yes
    Statement
    The mean uses every observation.

Explanation

Two data sets can share a mean and look nothing alike. Source: syllabus Maths, Ch 13 Statistics.
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