Question

The following dataset is a list of the number of siblings for 10 children at a playground. Describe the spread of the dataset using the mean absolute deviation.

Number of siblings =
{0,0,1,1,1,1,1,2,3,5}


(1 point)

The mean absolute deviation is 1.1. On average, the number of siblings each child has is about 1.1 siblings from the mean.

The mean absolute deviation is 1.5. On average, the children at the playground have 1.5 siblings.

The mean absolute deviation is 1.5. On average, the number of siblings each child has is about 1.5 siblings from the mean.

The mean absolute deviation is 1.1. The number of siblings each child has is within 1.1 siblings from the mean.
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Answer 1

Mean = (0+0+1+1+1+1+1+2+3+5)/10 = 15/10 = 1.5.
Absolute deviations: 1.5,1.5,0.5,0.5,0.5,0.5,0.5,0.5,1.5,3.5 (sum = 11.0).
MAD = 11.0/10 = 1.1.

Correct choice: "The mean absolute deviation is 1.1. On average, the number of siblings each child has is about 1.1 siblings from the mean."