S.D of a data is 6. When each observation is increased by 1, then the S.D of new data is
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S.D of a data is 6. When each observation is increased by 1, then the S.D of new data is
5
7
6
8
Standard deviation is a measure of dispersion. Adding a constant to every observation does not change the spread of the data, so the standard deviation remains the same.
Standard deviation is a measure of spread that is independent of changes in origin, meaning it is unaffected by adding a constant to every observation. When each observation is increased by 1, the variance and standard deviation remain exactly the same. Therefore, the standard deviation of the new data is 6.