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 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.
D: 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.
To determine which measure of center, the mean or the median, best describes the shape of the dataset that contains the number of goals scored by the soccer team, we can compare their values.
The mean is calculated by summing all the values in the dataset and then dividing by the total number of values.
The median is the middle value in a sorted dataset. If the dataset has an even number of values, the median is the average of the two middle values.
Now, let's calculate the mean and median for the given dataset:
Game Goals Scored
1 6
2 1
3 1
4 0
5 3
6 1
7 0
8 3
9 8
Mean: (6+1+1+0+3+1+0+3+8) / 9 = 23 / 9 ≈ 2.56 (rounded to two decimal places)
Median: The dataset, when sorted in ascending order, is: 0, 0, 1, 1, 1, 3, 3, 6, 8. The middle value is the 5th value, which is 1.
Based on the calculations, we can determine that:
A: The median value of 1 is the best measure of center that describes the shape of the dataset.
Therefore, the correct answer is A: The median value of 1 is the best measure of center that describes the shape of the dataset.