a) 3 goals
The median is the middle number of a data set. The best way to find the median is to list out all of the goals (and their frequencies!) and cross off numbers from the outside in until we find the median, or middle number.
0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4
1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4
1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3
2, 2, 2, 2, 3, 3, 3, 3, 3, 3
2, 2, 3, 3, 3, 3
3, 3
The median is 3 goals.
b) 2.33 goals
To find the mean, we add up all of our listed numbers below and divide by the total number of terms we added together.
0(2) + 1(8) + 2(4) + 3(10) + 4(6) = 70
total number of terms = 2 + 8 + 4 + 10 + 6 = 30
70 / 30 = 2.33
The mean number of goals conceded was approximately 2.33.
Hope this helps! :)
