QUESTION IMAGE
Question
- utilize the following data set to answer this question:
{7, 12, 11, 7, 8, 10, 12, 11, 15, 7, 10}
to find the mean, add all the numbers, which equals
, then divide them by the amount of numbers which is
, and that equals
Step1: Sum all numbers
$$7 + 12+11 + 7+8 + 10+12 + 11+15 + 7+10=110$$
Step2: Count the number of data points
There are \(11\) numbers in the set \(\{7, 12, 11, 7, 8, 10, 12, 11, 15, 7, 10\}\)
Step3: Calculate the mean
The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(\sum_{i=1}^{n}x_{i}\) is the sum of data and \(n\) is the number of data points. So \(\bar{x}=\frac{110}{11} = 10\)
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The sum of all numbers is \(110\), the number of numbers is \(11\), and the mean is \(10\)