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Three of these are wrong. Find the one that holds.

Exercise and reference answers

Questions
  1. Question
    Three of these statements about range are false.
    Choices
    1. Item
      Maximum value minus minimum value
      Correct
      Yes
    2. Explanation
      Only the two extreme values enter it.
      Item
      It uses every observation
    3. Explanation
      It says nothing about a central tendency.
      Item
      It measures spread about the mean
    4. Explanation
      It is a measure of dispersion.
      Item
      It is a measure of central tendency
  2. Question
    Three of these statements about variance are false.
    Choices
    1. Item
      It averages squared deviations
      Correct
      Yes
    2. Explanation
      Squares are never negative.
      Item
      It can be negative
    3. Explanation
      It is the other way round.
      Item
      It is the root of the standard deviation
    4. Explanation
      That describes mean deviation instead.
      Item
      It averages absolute deviations

Explanation

Each trap swaps a measure of spread for a measure of centre, or inverts the variance relation. Source: syllabus Maths, Ch 13 Statistics.
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