Answer:
The standard deviation of the age is 6.16
Step-by-step explanation:
* Lets talk about the variance and the standard deviation
- The variance is the measure of how much values in a set of data are
likely to differ from the mean value of the same data
- The steps to find the variance are:
1- Find the mean of the data
2- Subtract the mean from each value and square the answer
3- Add all of these squared answer and divide the sum by the number
of the values
- The answer of the step 3 is The variance (σ²)
- The standard deviation (σ) is the square root of the variance
* Now lets solve the problem
∵ The variance of the ages of the people who attended a rock
concert is 38
∴ σ² = 38
∵ The standard deviation is the square root of the variance
∴ σ = √38 = 6.16
* The standard deviation of the age is 6.16
Answer:
[tex]\sigma=6.16[/tex]
Step-by-step explanation:
By definition, the variance V of a population is defined as:
[tex]V = \sigma^2[/tex]
Where [tex]\sigma[/tex] is the standard deviation
We know that [tex]V = 38[/tex], then we can solve the equation for the standard deviation [tex]\sigma[/tex]
[tex]38 = \sigma^2[/tex]
[tex]\sigma^2=38[/tex]
[tex]\sigma=\sqrt{38}[/tex]
[tex]\sigma=6.16[/tex]
Finally the standard deviation is: [tex]\sigma=6.16[/tex]
