In: Statistics and Probability
1a. What is an example of when you would want consistent data and, therefore, a small standard deviation?
b. What is an example of when you might want a large standard deviation? That is, data that is more spread out?
1.(a). Consistency of data can be viewed in many ways .Typical measures of data consistency include statistics such as the range (i.e., the largest value minus the smallest value among a distribution of data), the variance (i.e., the sum of the squared deviations of each value in a distribution from the mean value in a distribution divided by the number of values in a distribution) and the standard deviation (i.e., the square root of the variance).
A data with small standard deviation is called a consistent data( in terms of standard deviation).
Example of consistent data:
1.(b). Example of data with high standard deviation: