To determine whether the mean or the median best describes the shape of the data set, we need to examine the values in the data set. The mean is calculated by adding up all the values and then dividing by the total number of values. The median is the middle value when the data set is arranged in order.
In this case, the data set is as follows:
0, 7, 2, 9, 1, 1, 10
The mean is calculated by adding up all the values and then dividing by 7. The sum of the values is 30, so the mean is 30/7, which is approximately 4.29.
To find the median, we arrange the values in order:
0, 1, 1, 2, 7, 9, 10.
Since there are 7 values, the median is the middle value, which in this case is 2.
Comparing the mean of 4.29 to the median of 2, we can see that the median is a better descriptor of the shape of the data set because it represents the middle value and is not influenced by outliers like the mean can be. Therefore, the answer is 2 for median.
Use the table to answer the question.
Game Runs Scored
1 0
2 7
3 2
4 9
5 1
6 1
7 10
What value, the mean or the median, best describes the shape of the data set that contains the number of runs scored by the baseball team? Choose 1 for mean and 2 for median.
(1 point)
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