Calculating Standard Deviation from Mean Deviation
To calculate the standard deviation from the mean deviation, we can use the following formula:
Standard Deviation = Mean Deviation x √(2/π)

Applying the Formula
In this case, we are given that the mean deviation of the distribution is 20.20.

Substituting this value into the formula, we get:
Standard Deviation = 20.20 x √(2/π)

Simplifying the Formula
To simplify this expression, we need to evaluate the square root of 2/π. This can be done using a calculator or by approximating the value to 0.7979.

Substituting this value, we get:
Standard Deviation = 20.20 x 0.7979

Simplifying further, we get:
Standard Deviation = 16.12

Therefore, the standard deviation of the distribution is 16.12.

Explanation
The mean deviation and standard deviation are both measures of dispersion that describe how spread out a set of data is. The mean deviation measures the average difference between each data point and the mean of the distribution, while the standard deviation measures the average distance of each data point from the mean.

The formula for converting mean deviation to standard deviation involves multiplying the mean deviation by a constant factor (√(2/π)). This factor is derived from the relationship between the mean deviation and standard deviation for a normal distribution. Applying this formula allows us to convert between these two measures of dispersion.

25.25 answer any problem.then reply me