Answer:
Mean of new data = 51
Standard deviation of new data = 14
Step-by-step explanation:
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]
