Question

Find the standard deviation for the following data:
8,9,15,23,5,11,19,8,10,12

Answer 1

Answer:

Types of Measures of Dispersion

There are two main types of dispersion methods in statistics which are:

Absolute Measure of Dispersion

Relative Measure of Dispersion

Absolute Measure of Dispersion

An absolute measure of dispersion contains the same unit as the original data set. Absolute dispersion method expresses the variations in terms of the average of deviations of observations like standard or means deviations. It includes range, standard deviation, quartile deviation, etc.

The types of absolute measures of dispersion are:

Range: It is simply the difference between the maximum value and the minimum value given in a data set. Example: 1, 3,5, 6, 7 => Range = 7 -1= 6

Variance: Deduct the mean from each data in the set then squaring each of them and adding each square and finally dividing them by the total no of values in the data set is the variance. Variance (σ2)=∑(X−μ)2/N

Standard Deviation: The square root of the variance is known as the standard deviation i.e. S.D. = √σ.

Answer 2

Explanation:

arithmetic mean is 12

standard deviation is 5.23