Question

the prices of backpacks are $22, 16, 39, 35, 19, 34, 20 and $26. how do i find the mean absolute deviation of the prices?

Answer 1

`mean:\overline{X}=(22+16+39+35+19+34+20+26)/(8)=(211)/(8)\\\\absolute\ deviation :\\\\D=(|22-(211)/(8)|+|16-(211)/(8)|+|39-(211)/(8)|+|35-(211)/(8)|+|19-(211)/(8)|+|34-(211)/(8)|+|20-(211)/(8)|+|26-(211)/(8)|)/(8)`


`=((35)/(8)+(83)/(8)+(101)/(8)+(69)/(8)+(59)/(8)+(61)/(8)+(51)/(8)+(3)/(8))/(8)=((462)/(8))/(8)=((231)/(4))/(8)=(231)/(4\cdot8)=(231)/(32)=7.21875`