If the variance of a data is 289, then the standard deviation is

Options

A. 17
B. 12
C. 121
D. `sqrt11`

Answer

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

### Step-by-Step Solution:

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

2. **Identify the given variance**:
In this problem, we are given that the variance is 289.

3. **Calculate the standard deviation**:
Now, we will calculate the standard deviation by taking the square root of the variance:
\[ \text{SD} = \sqrt{289} \]

4. **Compute the square root**:
The square root of 289 is:
\[ \text{SD} = 17 \]

5. **Conclude the result**:
Therefore, the standard deviation of the data is 17.

### Final Answer:
The standard deviation is 17.

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