ppose you have a data set of size 20, with mean 35 and standard deviation 4. If you subtract 4 from every data value, how will the mean and standard deviation change?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Suppose you have a data set of size 20, with mean 35 and standard deviation 4. If you subtract 4 from every data value, how will the mean and standard deviation change?

The mean and standard deviation will both stay the same.
The mean will increase and the standard deviation will stay the same
The mean will decrease and the standard deviation will stay the same.
The mean and standard deviation will both increase.
The mean and standard deviation will both decrease.
The mean will increase and the standard deviation will decrease.
The mean will decrease and the standard deviation will increase.
Expert Solution
Step 1

Mean is the average value of the given dataset. It is based on all observations.

Standard deviation is the amount of variation of a set values. It is an important measures of dispersion. Low standard deviation indicates that the values are closed to the mean of the given dataset. High standard deviation indicates that the values have a greater spread.

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