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The mean absolute deviation of the data set is 1.6

Data obtained from the question

0, 0, 0, 5, 0

Determination of the mean

  • Data => 0, 0, 0, 5, 0
  • Summation of data = 0 + 0 + 0 + 5 + 0 = 5
  • Number of data = 5
  • Mean =?

Mean = Summation of data / Number of data

Mean = 5 / 5

Mean = 1

Determination of the mean absolute deviation

  • Mean = 1
  • Absolute deviation = |1– 0| + |1 – 0| + |1 –0| + |1 – 5| + |1 – 0|
  • Absolute deviation = 1 + 1 + 1 + 4 + 1 = 8
  • Number of data = 5
  • Mean absolute deviation =?

Mean absolute deviation = absolute deviation / number of data

Mean absolute deviation = 8/5

Mean absolute deviation = 1.6

Learn more about mean absolute deviation:

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