Question

What is an example of when you would want consistent data and, therefore, a small standard deviation? What is an example of when you might want a large standard deviation? That is, data that is more spread out?

Answer 1

solution : Let, a) consistency of data can be viewed irimanyways. Typical measures of data consistency includes Statistics such as the range (ie the largest value minus the smallest value among a distributions of data, the Variance Cire the sum of the Squared deviations of each Value in a distribution from the mean value in a distribuition divided by the no. of values in a distribution) and the Standard deviation (ie, the Square root of the variance). Tota l t A data with small standard deviation is called a consistent data (in terms of Standard deviation) Estample of consistent data : - o) A weather reporter is analyzing the high temperature forecasted for a series of dates versus the actual high temperature recorded on Eachdate. A low standard deviation would show a reliable weather forecast. b) Example of data with high Standard deviation: .) A dog walker wants to determine if the dogs on his route' are close in weight or not close in weight. He takes the average of the weight of all ten dogs.

He then calculates the Variance and then the S.D. His &.D is extremely high- . This suggests that the dogs are of many Various weighte, 8t that he has afew dogs whose weights are outliers that are skewing the data