Mathematics
Grade6
Easy

Question

An amusement park recorded the ages of the first ten people to ride a new attraction. The ages were as follows: 11, 34, 16, 18, 22, 30, 18, 20, 15, and 16. Find the mean absolute deviation of this data set.

  1. 20
  2. 5.2
  3. 18
  4. 4.8

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: 5.2


    Step 1 of 2:
    Given the dataset, 11, 34, 16, 18, 22, 30, 18, 20, 15, and 16
    The mean is fraction numerator 11 plus 34 plus 16 plus 18 plus 22 plus 30 plus 18 plus 20 plus 15 plus 16 over denominator 10 end fraction  = 20.76
    Step 2 of 2:
    MAD = 
    52 over 10
    = 5.2
    So, the MAD is 5.2
    Final Answer:
    The right choice is-- b. 5.2

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