Question

The list shows the number of miles six people drove in a month 445 380 365 375 370 315 what is the mean absolute deviation of these numbers.

Answer 1

first we find the mean

`\bar{x}=(445+380+365+375+370+315)/(6)=(2250)/(6)=375`

then we find the mean absolute deviation

`\begin{gathered} D_{\bar{x}}=(|445-375|+|380-375|+|365-375|+|375-375|+|370-375|+|315-375|)/(6) \\ D_{\bar{x}}=(70+5+10+0+5+60)/(6) \\ D_{\bar{x}}=(150)/(6)=25 \end{gathered}`

answer: the mean absolute deviation is 25