there are 16 number of observations. Calculate standard error if,

a)  standard deviation is 35.45

b) standard deviation is 0.984

To calculate the standard error (SE) from the standard deviation, the formula is:

\[
SE = \frac{\text{Standard Deviation}}{\sqrt{n}}
\]

Where:
- \( n \) is the number of observations (in this case, \( n = 16 \)).

Now, let's calculate it for both cases:

---

### a) If the standard deviation is 35.45:
\[
SE = \frac{35.45}{\sqrt{16}} = \frac{35.45}{4} = 8.6125
\]

---

### b) If the standard deviation is 0.984:
\[
SE = \frac{0.984}{\sqrt{16}} = \frac{0.984}{4} = 0.246
\]

---

Thus:
- **a) SE = 8.6125**
- **b) SE = 0.246**

Would you like to explore further details or have any questions?

### Related Questions:
1. What is the significance of the standard error in statistics?
2. How does increasing the sample size affect the standard error?
3. Can the standard error be used to create confidence intervals?
4. What is the relationship between standard deviation and standard error?
5. How do you interpret the standard error in terms of data variability?

### Tip:
A smaller standard error indicates that the sample mean is a more accurate estimate of the population mean!

There are 16 number of observations. Calculate standard error if, a) standard deviation is 35.45, b) standard deviation is 0.984.

Learn how to calculate the standard error for a dataset of 16 observations. This problem involves using the standard error formula, SE = Standard Deviation / √n, with given standard deviations of 35.45 and 0.984. Suitable for high school students in Grades 9-12.

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