If the variance is 3.6 grams. what is the standard deviation?

If the variance is 3.6 grams, what is the standard deviation?

Answer

General guidance

Concepts and reason

Mean: Mean is the most commonly used measure of central tendency. It is the average of all the observations in the data set. In other words, the mean is obtained by summing the observed numerical values of a variable in a set of data and then dividing the total by the number of observations involved

Variance: The variation between each observation from its mean is known as variance. The greater the distance of the points from the mean, the greater is the variability and vice-versa.

Standard deviation: The variation between each observation from its mean is known as standard deviation. The greater the distance of the points from the mean, the greater is the variability and vice-versa.

Fundamentals

The standard deviation is,

SD = V(X)

Step-by-step

Step 1 of 2

The objective of the problem is identified below:

From the given information, the variance is 3.6 grams. The objective of the problem is finding the value of standard deviation.

The main objective of the problem is finding the standard deviation by using the relation between variance and standard deviation.

Step 2 of 2

The standard deviation is obtained below:

Consider,

SD = 1V()
= 3.6
= 1.8974

The standard deviation is 1.8974.


The standard deviation is obtained by taking the square root of variance.

Answer

The standard deviation is 1.8974.

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