To calculate the standard error (SE) of a sample, you can use the formula:
\[ SE = \frac{\sigma}{\sqrt{n}} \]
Where:
- \(\sigma\) is the standard deviation,
- \(n\) is the sample size.
Given:
- \(\sigma = 3.5\)
- \(n = 5\)
Substituting the values into the formula:
\[ SE = \frac{3.5}{\sqrt{5}} \]
First, calculate the square root of 5:
\[ \sqrt{5} \approx 2.236 \]
Now, substitute that back into the equation for SE:
\[ SE = \frac{3.5}{2.236} \approx 1.566 \]
Now, rounding to the nearest hundredth:
\[ SE \approx 1.57 \]
Thus, the standard error is approximately 1.57.