The standard error (SE) is calculated using the formula:
\[ SE = \frac{s}{\sqrt{n}} \]
where \( s \) is the standard deviation and \( n \) is the sample size.
Given:
- Standard deviation (\( s \)) = 3.5
- Sample size (\( n \)) = 5
Now plug the values into the formula:
\[ SE = \frac{3.5}{\sqrt{5}} \]
First, calculate \( \sqrt{5} \):
\[ \sqrt{5} \approx 2.236 \]
Now, calculate the standard error:
\[ SE = \frac{3.5}{2.236} \approx 1.566 \]
Rounding to the nearest hundredth, the standard error is:
\[ SE \approx 1.57 \]
So, the standard error is approximately 1.57.