First 10 Even Natural numbers are 2, 4, 6, 8, 10, 12, 14, 16,18 and 20.
Mean,
xˉ=n∑xi=102+4+6+…+20xˉ=102(1+2+3+…+10)xˉ=51×210(10+1)=11→ Now, To calculate Mean deviation, we should calculate
xi−xˉ for each observation.
xi−:−9,−7,−5,−3,−1,1,3,5,7,9∣xi−∣:9,7,5,3,1,1,3,5,7,9\therefore
Meandeviation,M.D.=\frac{\sum|x i-\bar{x}|}{n}
M.D. =109+7+5+3+1+1+3+5+7+9 M.D. =102(1+3+5+7+9)=102×25 M.D. =5$