1. 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.
Solution: Mean = Average = Sum of all the observations/Total number of observations = (2+3+4+5+0+1+3+3+4+3)/10 = 28/10 = 2.8 Median, To find the median, we first arrange the data in ascending order. 0, 1, 2, 3, 3, 3, 3, 4, 4, 5 Here, Number of observations (n) = 10 Since the number of observations are even, the median can be calculated as:
= 3 Mode, To find the mode, we first arrange the data in ascending order. 0, 1, 2, 3, 3, 3, 3, 4, 4, 5. Here, We find that 3 occurs most frequently (4 times) ∴ Mode = 3
