Question

the following number of a goals were scored by team 10 matchs
2,3,4,5,0,1,3,3,4,3
find the mean , median , and mode of score

Answer 1

Let us arrange the scores in ascending order .

0 , 1 , 2 , 3 , 3 , 3 , 3 , 4 , 4 , 5.

mean = ( 0 + 1 +2 + 3 + 3 + 3 + 3 + 4 + 4 + 5)/10 = 2.8

median is the middle element in this sequence. Since there are 10 numbers , there is no middle number. So We take average of middle 2 numbers.
So median = ( 3 + 3 ) / 2 = 3.

mode is the number whose frequency in the distribution is higher. i.e., 3 appears 4 times.
So mode = 3.