Given that s2\= (3.2- $$\bar{x}$$)2+(5.7- $$\bar{x}$$)2+(4.3- $$\bar{x}$$)2+(6.8-$$\bar{x}$$)2 is the calculation process written by Li Hua when calculating the variance of a set of data, then the value of is \_\_\_\_\_\_.
Solution
Since s2\= (3.2- $$\bar{x}$$)2+(5.7- $$\bar{x}$$)2+(4.3- $$\bar{x}$$)2+(6.8-$$\bar{x}$$)2,
We know that is the mean of 3.2, 5.7, 4.3, and 6.8.
Therefore, = (3.2 + 5.7 + 4.3 + 6.8) ÷ 4
= 20 ÷ 4
= 5
So the answer is: \boxed{5}.
The variance of a set of data is the average of the squared differences from the mean, so is the mean of 3.2, 5.7, 4.3, and 6.8. By calculating the mean, we find the value of .
This problem primarily tests the understanding and calculation of variance. It is essential to master the concept that the variance is the average of the squared differences from the mean.
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