Suppose that the distribution of a set of scores has a mean of 47 and a standard deviation of 14. If 4 is added to each score, what will be the mean and the standard deviation of the distribution of new scores?
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the population doubles every day.
10,000*2=20,000 day 4
20,000*2=40,000 day 5
40,000*2=80,000 day 6
Mean of new data = 51
Standard deviation of new data = 14
We are given the following in the question:
Mean of data = 47
Standard deviation = 14.
Then, 4 is added to every observation of the data.
a) Mean of new data
When a constant value is added to every observation, the mean of the data increases by the same amount
Mean of new score =
[tex]\mu' = \mu+4 = 47+4=51[/tex]
b) Standard deviation of new data
When a constant value is added to every observation, the standard deviation remains the same.
Standard deviation of new score =
[tex]\sigma' = \sigma = 14[/tex]