Problem

Find the range and standard deviation of the set of data.
\[
3,7,8,10,12,14 \text { 무 }
\]

The range is $\square$.
(Simplify your answer.)

Answer

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Answer

So, the range of the data set is \(\boxed{11}\) and the standard deviation is approximately \(\boxed{3.90}\).

Steps

Step 1 :Given the data set [3, 7, 8, 10, 12, 14].

Step 2 :The range of a data set is calculated by subtracting the smallest value from the largest value. In this case, the range is \(14 - 3 = 11\).

Step 3 :The standard deviation is a measure of the amount of variation or dispersion of a set of values. It can be calculated using a statistics library in Python, which gives a result of approximately 3.90.

Step 4 :So, the range of the data set is \(\boxed{11}\) and the standard deviation is approximately \(\boxed{3.90}\).

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