Class 11

Math

JEE Main Questions

Statistics

Find the mean deviation about the median for the data : $x_{i}$ 5 7 9 10 12 15$f_{i}$ 8 6 2 2 2 6

**Solution: **Solution: X f cf X-M $∣X−M∣$5 8 8 -2 27 6 14 0 09 2 16 2 210 2 18 3 312 2 20 5 515 6 26 8 8The data given to us can be arranged in the form of table above. $Median=(2N+1 )_{th}term$$=(226+1 )_{th}term$ $=13.5_{th}term=7$Deviations from the median will be calculated in the column (X-M) Mean deviation from median = $N∑∣X−M∣ $$=620 =3.33$