Mathematics
Grade6
Easy

Question

Find the Mean Absolute Deviation: (MAD)
10, 9, 3, 8, 10.

  1. 3
  2. 5
  3. 1
  4. 2

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: 2


    Step 1 of 2:
    The mean is fraction numerator 10 plus 9 plus 3 plus 8 plus 10 over denominator 5 end fraction = 8.
    Step 2 of 2:
    MAD = fraction numerator sum vertical line d a t a space v a l u e minus M e a n vertical line space over denominator n u m b e r space o f space d a t a space v a l u e s end fraction
    fraction numerator open vertical bar 10 minus 8 close vertical bar plus open vertical bar 9 minus 8 close vertical bar plus open vertical bar 3 minus 8 close vertical bar plus open vertical bar 8 minus 8 close vertical bar plus open vertical bar 10 minus 8 close vertical bar over denominator 5 end fraction
    fraction numerator 2 plus 1 plus 5 plus 0 plus 2 over denominator 5 end fraction equals 10 over 5
    So, the MAD is 2.
    Final Answer:
    The right choice is-- d. 2

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