In: Statistics and Probability
What is an example of when you would want consistent data and, therefore, a small standard deviation and what is an example of when you might want a large standard deviation?
Answer:
(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:
(b). Example of data with high standard deviation:
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