Homework Sourseanswer through excel The population standard deviation of th
answer through excel: The population standard deviation of the numbers 3, 8, 12, 17, and 25 is 7.563 correct to 3 decimal places. What happens if each of the five numbers is multiplied by 3?
| a. The standard deviation remains the same. |
| b. The standard deviation is increased by 3. |
| c. The standard deviation is multiplied by 3. |
| d. The standard deviation is multiplied by 9. |
Solution
Sol)
standard deviation of the numbers 3, 8, 12, 17, and 25 is 7.563
Note: If all observation is multiply with some constant (k) then variance also multiply with k only.
Then Variance of 9,24,36,51,and 75 is also 3 times of 7.563
Hence variance= 22.689
