If the mean is seven and the standard deviation is two, what value is three standard deviations to the right of the mean?

MATLAB: An Introduction with Applications
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**Question:**

If the mean is seven and the standard deviation is two, what value is three standard deviations to the right of the mean?

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**Explanation:**

In statistical terms, the value that is three standard deviations to the right of the mean can be calculated using the following formula:

\[ \text{Value} = \text{Mean} + (\text{Number of Standard Deviations} \times \text{Standard Deviation}) \]

Given:
- Mean (\(\mu\)) = 7
- Standard Deviation (\(\sigma\)) = 2
- Number of Standard Deviations (k) = 3

Now, substitute the values into the formula:

\[ \text{Value} = 7 + (3 \times 2) \]
\[ \text{Value} = 7 + 6 \]
\[ \text{Value} = 13 \]

Therefore, the value that is three standard deviations to the right of the mean is **13**.
Transcribed Image Text:**Question:** If the mean is seven and the standard deviation is two, what value is three standard deviations to the right of the mean? --- **Explanation:** In statistical terms, the value that is three standard deviations to the right of the mean can be calculated using the following formula: \[ \text{Value} = \text{Mean} + (\text{Number of Standard Deviations} \times \text{Standard Deviation}) \] Given: - Mean (\(\mu\)) = 7 - Standard Deviation (\(\sigma\)) = 2 - Number of Standard Deviations (k) = 3 Now, substitute the values into the formula: \[ \text{Value} = 7 + (3 \times 2) \] \[ \text{Value} = 7 + 6 \] \[ \text{Value} = 13 \] Therefore, the value that is three standard deviations to the right of the mean is **13**.
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