Understanding Variance and Standard Deviation
The question provides the variance of a set of 5 values and asks for the standard deviation.
Calculating Standard Deviation
The standard deviation is defined as the square root of the variance.
The formula relating standard deviation ($\sigma$) and variance ($\sigma^2$) is:
$\sigma = \sqrt{\sigma^2}$
Applying the Formula
Given Variance ($\sigma^2$) = 0.64
Calculate the Standard Deviation ($\sigma$):
- Substitute the given variance value into the formula: $\sigma = \sqrt{0.64}$
- Calculate the square root: $\sigma = 0.8$
Therefore, the standard deviation is 0.8.
Similar Questions
- The standard deviation of 12 values is 3. If each value is increased by 4, then find the variance of the new set of values.
Calculate the standard deviation for the following data.
4, 7, 9, 10, 15
- Calculate the standard deviation for the following data.
$3, 4, 5, 6, 7$
Important Questions from Standard Deviation
A cold drink bottling plant fills bottles of 500 ml. capacity with mean of 500 ml. and a standard deviation of 5 ml. Atleast what percentage of bottles would contain cold drink between 490 ml. and 510 ml.?
The mean and standard deviation of 100 terms are 50 and 3, respectively. The sum of squares of the 100 terms is:
- Following are the ages (in years) of 6 people in a group: 25, 30, 35, 40, 45 and 50. What is the standard deviation of their ages (rounded to two decimal places)?
If the mean of a random variable X following Poisson distribution is 3, then standard deviation of the distribution is:
If the standard deviation of a population is 100, then based on a sample of size 100, the standard deviation of sample mean is equal to:
