Data set:
Game | Goals scored
1 | 6
2 | 1
3 | 1
4 | 0
5 | 3
6 | 1
7 | 0
8 | 3
9 | 8
What value, the mean or median, best describes the shape of the data set that contains the number of goals scored by the soccer team? (1 point)
A. The median value of 1 is the best measure of center that describes the shape of the data set.
B. The mean value of 1 is the best measure of center that describes the shape of the data set.
C. The mean value of 2.6 is the best measure of center that describes the shape of the data set.
D. The median value of 2.6 is the best measure of center that describes the shape of the data set.
C. The mean value of 2.6 is the best measure of center that describes the shape of the data set.
Calculating the mean: (6+1+1+0+3+1+0+3+8)/9 = 23/9 = 2.6
The mean provides a better representation of the distribution of the data because it takes into account all the values in the data set, including the relatively higher value of 8. The median, on the other hand, may be skewed by extreme values like the 8, making the mean a more reliable measure of center in this case.