After a researcher multiplies every score in a sample by 2,the standard deviation is found to be s = 10.The original sample had a standard deviation of s = 5.

Question

After a researcher multiplies every score in a sample by 2,the standard deviation is found to be s = 10.The original sample had a standard deviation of s = 5.​

Quizplus · Accepted Answer

When every score in a sample is multiplied by a constant, the standard deviation is also multiplied by that same constant. In this case, the constant is 2, so the new standard deviation is 2 times the original standard deviation, or s * 2 = 5 * 2 = 10. Therefore, the statement is true.

After a Researcher Multiplies Every Score in a Sample by 2,the