Calculate the mean (x) of the data set.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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1. Calculate the standard deviation of 2,3,3,4,5,5,7,7 and 9.
Step 1: Calculate the mean ($\bar{x}$) of the data set.
The data set is $X = \{2, 3, 3, 4, 5, 5, 7, 7, 9\}$.
The number of data points is $n = 9$.
$$ \bar{x} = \frac{\sum x}{n} = \frac{2+3+3+4+5+5+7+7+9}{9} = \frac{45}{9} = 5 $$
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