A collection of 65 observations has a standard deviation of 120. If the value of each observation is reduced by 7, the new standard deviation for these observations isQuestion 20Answera.127b.71c.113d.120
Question
A collection of 65 observations has a standard deviation of 120. If the value of each observation is reduced by 7, the new standard deviation for these observations isQuestion 20Answera.127b.71c.113d.120
Solution
The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
One of the properties of standard deviation is that it is not affected by changes in location. This means that if you add or subtract a constant value from each data point in your data set (which is a change in location), the standard deviation will not change.
So, if you have a collection of 65 observations with a standard deviation of 120, and you subtract 7 from each observation, the new standard deviation will still be 120.
Therefore, the answer is d. 120.
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