Question

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 and median of these scores

Answer 1

mean=2+3+4+5+0+1+3+3+4+3
=28

median=1

Answer 2

Mean of data = ( )/( ) = (2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3)/10 = 28/10 = 2.8 goals Median Arranging the number of goals in ascending order, 0, 1, 2, 3, 3, 3, 3, 4, 4, 5 Number of observations = n = 10 (even number) Median = (/2)"th obs. + " (/2 +1)"th obs. " /2 = (10/2)"th obs. + " (10/2 + 1)"th obs. " /2 = (5ℎ .+6ℎ .)/2 = (3 + 3)/2 = 6/2 = 3 Mode 0, 1, 2, 3, 3, 3, 3, 4, 4, 5 Here, 0 occurs 1 time, 1 occurs 1 time, 3 occurs 4 times 4 occurs 2 times 5 occurs 1 time Since 3 occurs maximum
of times Mode = 3
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