The variance of a set of data is 196. Then the standard deviation of the data is.

Options

A. `+- 14`
B. 14
C. 96
D. 98

Answer

To find the standard deviation from the variance, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given information**:
- We know that the variance of the data is given as 196.

2. **Recall the relationship between variance and standard deviation**:
- The standard deviation (SD) is the square root of the variance (Var).
- Mathematically, this is expressed as:
\[ \text{SD} = \sqrt{\text{Var}} \]

3. **Substitute the value of variance into the formula**:
- Since the variance is 196, we can substitute this value into the formula:
\[ \text{SD} = \sqrt{196} \]

4. **Calculate the square root**:
- Now, we need to find the square root of 196:
\[ \text{SD} = 14 \]

5. **Conclusion**:
- Therefore, the standard deviation of the data is 14.

### Final Answer:
The standard deviation of the data is **14**.