If a value equal to the mean is added to a data set do the following statistics
ID: 3130429 • Letter: I
Question
If a value equal to the mean is added to a data set do the following statistics increase, decrease, remain the same, or can't you tell. Standard deviation Range Median Mode Variance If n is 4 and r is 3 what is the answer for the following problems: Partial permutation problem Combination problem Assume n is 6 - what is the answer for a complete permutation problem? Assuming the order of selection is important - we want to select 3 objects from a set of 7. How many ways can we do that? If the order of selection is not important and we want to select 3 objects from this H set of seven, how many ways can we do that?Explanation / Answer
6.
a. REMAIN THE SAME. Standard deviation does not change when you add any constant to all data, as the dispersion would not change.
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b. REMAIN THE SAME. Both the maximum and minimum values would increase by the same amount, so the range would not change.
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c. INCREASE. Every data increased, hence, the middle entry would also increase.
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d. INCREASE. Every data increased, hence, the most frequent entry would also increase.
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e. REMAIN THE SAME. Variance does not change when you add any constant to all data, as the dispersion would not change.
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