Find the mean deviation about median for the following data :
Marks 0−10 10−20 20−30 30−40 40−50 50−60 Number of Girls 6 8 14 16 4 2
Find the mean deviation about median for the following data :
Marks 0−10 10−20 20−30 30−40 40−50 50−60 Number of Girls 6 8 14 16 4 2
MarksMid values xi fi e.f. |xi−27.86| fi|xi−27.86| 0−10 5 6 6 22.86 137.1610−20 15 8 14 12.86 102.8820−30 25 14 28 2.86 40.04 30−40 35 16 44 7.14 114.2440−50 45 4 48 17.14 68.5650−60 55 2 50 27.14 54.28 50 517.16
N2=502=25
∴ Median class is 20-30 ∴
Median = 20+25−1414×10=20+7.86=27.86
M.D. about median = 1N∑ni=1fi|xi−M|=150×517.16=10.34
MarksMid values xi fi e.f. |xi−27.86| fi|xi−27.86| 0−10 5 6 6 22.86 137.1610−20 15 8 14 12.86 102.8820−30 25 14 28 2.86 40.04 30−40 35 16 44 7.14 114.2440−50 45 4 48 17.14 68.5650−60 55 2 50 27.14 54.28 50 517.16
N2=502=25
∴ Median class is 20-30 ∴
Median = 20+25−1414×10=20+7.86=27.86
M.D. about median = 1N∑ni=1fi|xi−M|=150×517.16=10.34
