Question

After every score in a sample is multiplied by 3, themean is found to be M=48 and the standard deviation is s= 18. What were the values for the mean and standard deviation for the original sample?

Answer 1

Answer:

The values or the original sample are:

• Mean = 16

,

• Standard deviation = 6

Step-by-step explanation

After ever score in a sample is multiplied by 3, the mean and standard deviation are also multiplied by 3.

Given that the mean and standard deviation after multiplication are 48 and 18 respectively, their values for the original sample are as follows:

Mean = 48/3 = 16

Standard deviation = 18/3 = 6