The variance of 40 values is 100.what is the standard deviation
To calculate the standard deviation, you need to take the square root of the variance.
The variance is the average of the squared differences between each value and the mean. In this case, since the variance is given as 100, you can use the formula:
variance = sum of squared differences / number of values
Therefore, 100 = sum of squared differences / 40
To find the sum of squared differences, you can rearrange the equation as follows:
sum of squared differences = variance * number of values
Substituting the given values, you get:
sum of squared differences = 100 * 40 = 4000
Now, to find the standard deviation, take the square root of the sum of squared differences. This can be done using a calculator or software that has square root functionality.
The square root of 4000 is approximately 63.25. Thus, the standard deviation of the 40 values is 63.25.