Use the table to answer the question.
Game Free Throws Made
1 4
2 14
3 5
4 7
5 19
6 15
7 6
What value, the mean or median, best describes the shape of the data set that contains the number of free throws made by the basketball team? Choose 1 for mean and 2 for median.
(1 point)
2 (median)
To determine whether the mean or median best describes the shape of the data set, we need to consider the distribution of the data.
To do this, we can calculate both the mean and median and compare them.
Mean: (4 + 14 + 5 + 7 + 19 + 15 + 6) / 7 = 70 / 7 = 10
Median: Arrange the data in ascending order: 4, 5, 6, 7, 14, 15, 19
The median is the middle value, which is 7.
Based on the values calculated, the answer is 1 for mean because the mean of 10 provides a better representation of the overall values in the dataset compared to the median of 7.