Consider the following. 2, 3, 10, 24, 15, 27 Compute the population standard deviation of the numbers. (Round your answer to two decimal place.) 10.48 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. (a) Double each of your original numbers and compute the standard deviation of this new population. (Round your answer to two decimal place.) (b) Use the results of part (a) and inductive reasoning to state what happens to the standard deviation of a population when each data item is multiplied by a positive constant k. The standard deviation is divided by k. The standard deviation is unchanged. The standard deviation is multiplied by -k. The standard deviation is multiplied by k. The standard deviation is k. Incorrect: Your answer is incorrect.