The mean and standard deviation of 20 observations are found to be 16 and 3 respectively. If each observation is multiplied by 3, find the new mean and new standard deviation.
Answers
Answer:
new Mean = 48
new standard deviation = 9
Step-by-step explanation:
The mean and standard deviation of 20 observations are found to be 16 and 3 respectively.
If each observation is multiplied by 3, find the new mean would also be 3 times
=> new Mean = 3 * 16 = 48
new standard deviation will also be 3 times the standard deviation
=> new standard deviation = 3 * 3 = 9
Answer:
New Mean = 48
New standard deviation = 9
Step-by-step explanation:
In this question
We have been given that
Mean and standard deviation of 20 observations are found to be 16 and 3 respectively, if each observation is multiplied by 3.
We need to find the New mean and New standard deviation.
New Mean = 3 × 16 = 48
New standard deviation will also be 3 times the original standard deviation.
New Standard deviation = 3 × 3 = 9
Therefore, New Mean = 48
New standard deviation = 9