Calculating the Standard Deviation:

The standard deviation (SD) measures the amount of variation or dispersion in a set of values. It indicates how spread out the data points are from the mean. To calculate the standard deviation, we can use the coefficient of standard deviation (CSD) and the mean of the observations.

Formula:
Standard Deviation (SD) = Coefficient of Standard Deviation (CSD) * Mean

Given:
Mean = 11.23
Coefficient of Standard Deviation (CSD) = 0.28

Calculating the Standard Deviation:
To find the value of the standard deviation, we can simply multiply the mean by the coefficient of standard deviation.

Standard Deviation (SD) = CSD * Mean
Standard Deviation (SD) = 0.28 * 11.23

Solution:
Multiplying 0.28 by 11.23, we get:

Standard Deviation (SD) ≈ 3.14

Therefore, the value of the standard deviation is approximately 3.14.

Explanation:
The standard deviation provides a measure of the amount of variation or dispersion in a set of data. In this case, the mean is given as 11.23 and the coefficient of standard deviation is 0.28. By multiplying the mean by the coefficient of standard deviation, we can determine the value of the standard deviation.

The standard deviation is used in statistics to understand the spread of data points around the mean. It helps in analyzing the reliability and consistency of the data set. A higher standard deviation indicates that the data points are more spread out from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

In this case, a standard deviation of approximately 3.14 indicates that the observations have a moderate amount of dispersion around the mean of 11.23. This means that the data points are not too closely clustered around the mean, but also not widely scattered.