Question

A researcher counts the number of river otters observed on each acre of land in a state Park: 0,10,14,6,0,8,4)

Answer 1

Mean Absolute Deviation=4

Explanation:

Given the number of river otters observed on each acre of land in a state park:

0,10,14,6,0,8,4

Mean

`=(0+10+14+6+0+8+4)/(7) \\=(42)/(7) \\$Mean,$ \bar{x}=6`

Mean Absolute Deviation

`M.A.D.=(|6-0|+|6-10|+|6-14|+|6-6|+|0-6|+|6-8|+|6-4|)/(7) \\=(6+4+8+0+6+2+2)/(7) \\=(28)/(7)\\\\M.A.D=4`

Interpretation: On average, in each park, there is a deviation of 4 from the mean value.