9th Maths 14.4
Exercise 14.4 Q1. The following number of goals were scored by a team in a series of `10` matches `2, 3, 4, 5, 0, 1, 3, 3, 4, 3` Find the mean, median, and mode of these scores. Sol. : By arranging the data in ascending order, `0, 1, 2, 3, 3, 3, 3, 4, 4, 5.` Mean `overlinex=(x_1+x_2+x_3+...+x_10)/10` `(sum_(i=1)^10x_i)/n` `= (0+1+2+3+3+3+3+4+4+5)/10` `= 28/10` So, `=2.8` Median`=((n/2)^(th)term+(n/2+1)^(th)term)/2` `=((10/2)^(th)term+(10/2+1)^(th)term)/2` `=(5^(th)term+6^(th)term)/2` `=(3+3)/2=6/2=3` Mode`=`Maximum frequency`=3` Answer: Mean `=2.8` Median `=3` Mode `=3` Q2. In a mathematics test given to `15` students, the following marks (out of `100`) are recorded: `41, 39, 48, 52, 46, 54, 40, 96, 52, 98, 40, 42, 52, 60` Find the mean, median, and mode of this data. Sol. : By arranging the data in ascending order `39, 40, 40, 41, 42, 46, 48, 5...