Calculate the mean deviation about median age for the age distribution of 100 persons given below :
Age 16−20 21−25 26−30 31−35 36−40 41−45 46−50 51−55 Number 5 6 12 14 26 12 16 9
Calculate the mean deviation about median age for the age distribution of 100 persons given below :
Age 16−20 21−25 26−30 31−35 36−40 41−45 46−50 51−55 Number 5 6 12 14 26 12 16 9
AgeMid values xi fi e.f. |xi−38| fi|xi−38|16−20 18 5 5 20 10021−25 23 6 11 15 9026−30 28 12 23 10 120 31−35 33 14 37 5 7036−40 38 26 63 0 041−45 43 12 75 5 6046−50 48 16 91 10 16051−55 53 9 100 15 135 100 735
N2=1002=50
∴ Median class is 35.5 - 40.5
∴ Median = 35.5 + 50−3726×5=35.5+2.5=38
M.D. about median = 1N∑ni−1fi|xi−M|=1100×735=7.35
AgeMid values xi fi e.f. |xi−38| fi|xi−38|16−20 18 5 5 20 10021−25 23 6 11 15 9026−30 28 12 23 10 120 31−35 33 14 37 5 7036−40 38 26 63 0 041−45 43 12 75 5 6046−50 48 16 91 10 16051−55 53 9 100 15 135 100 735
N2=1002=50
∴ Median class is 35.5 - 40.5
∴ Median = 35.5 + 50−3726×5=35.5+2.5=38
M.D. about median = 1N∑ni−1fi|xi−M|=1100×735=7.35
