Find the mean deviation about the mean for the data in Exercises 9 to 10 Income per day 0−100 100−200 200−300 300−400 400−500 500−600 600−700 700−800 Number of persons 4 8 9 10 7 5 4 3
Find the mean deviation about the mean for the data in Exercises 9 to 10 Income per day 0−100 100−200 200−300 300−400 400−500 500−600 600−700 700−800 Number of persons 4 8 9 10 7 5 4 3
Income perMid values day xi fi fixi |xi−358| fi|xi−358| 0−100 50 4 200 308 1232100−200 15 8 1200 208 1664200−300 350 10 3500 8 80 400−500 450 7 3150 92 644500−600 550 5 2750 192 960600−700 650 4 2600 292 1168700−800 750 3 2250 392 1176 50 17900 7896
Mean (¯¯¯x)=1N∑fixi=150×17900=358
Mean deviation about mean 1N∑ni=1fi|xi−¯¯¯x|
=150×7896=157.92
Income perMid values day xi fi fixi |xi−358| fi|xi−358| 0−100 50 4 200 308 1232100−200 15 8 1200 208 1664200−300 350 10 3500 8 80 400−500 450 7 3150 92 644500−600 550 5 2750 192 960600−700 650 4 2600 292 1168700−800 750 3 2250 392 1176 50 17900 7896
Mean (¯¯¯x)=1N∑fixi=150×17900=358
Mean deviation about mean 1N∑ni=1fi|xi−¯¯¯x|
=150×7896=157.92
