Mathematics
Grade6
Easy

Question

Find the mean absolute deviation of the numbers:
10, 8, 5, 12, 20

  1. 3.4
  2. 4
  3. 11
  4. 5

hintHint:

Algorithm for calculating MAD:
  1. To find the mean absolute deviation of the data, start by finding the mean of the data set.
  2. Find the sum of the data values and divide the sum by the number of data values.
  3. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
  4. Find the sum of the absolute values of the differences.
  5. Divide the sum of the absolute values of the differences by the number of data values.

The correct answer is: 4


    Step 1 of 2:
    Given the dataset, 10, 8, 5, 12, 20
    The mean is fraction numerator 10 plus 8 plus 5 plus 12 plus 20 over denominator 5 end fraction  = 11.
    Step 2 of 2:
    MAD = 
    fraction numerator open vertical bar 10 minus 11 close vertical bar plus open vertical bar 8 minus 11 close vertical bar plus open vertical bar 5 minus 11 close vertical bar plus open vertical bar 12 minus 11 close vertical bar plus open vertical bar 20 minus 11 close vertical bar over denominator 5 end fraction
    = 4
    So, the MAD is 4.
    Final Answer:
    The right choice is-- b. 4

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