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True or false: reading an average from a report

Exercise and reference answers

Questions
  1. Statement is true
    Yes
    Statement
    A high average can hide a very wide spread.
  2. Statement is true
    Yes
    Statement
    The range uses only the two extreme values.
  3. Statement is true
    No
    Statement
    The mean is unaffected by an extreme value.
  4. Statement is true
    Yes
    Statement
    The standard deviation uses every observation.
  5. Statement is true
    Yes
    Statement
    Standard deviation is the square root of the variance.

Explanation

An average without a spread hides a lot. Source: syllabus Maths, Ch 13 Statistics.
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