Given a standard deviation of 3.5 and a sample size of 5, what is the standard error?

1 answer

The standard error (SE) can be 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 \( n = 5 \)

Substituting the values into the formula:

\[ SE = \frac{3.5}{\sqrt{5}} \]

Calculating \( \sqrt{5} \):

\[ \sqrt{5} \approx 2.236 \]

Now, substituting this value back into the equation:

\[ SE = \frac{3.5}{2.236} \approx 1.566 \]

Therefore, the standard error is approximately 1.566.