Six people were asked to determine the amount of money they were carrying, to the nearest dollar. The results were 33, 60, 53, 56, 42, and 50 dollars. (a) Compute the mean and standard deviation for...

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Extracted text: Six people were asked to determine the amount of money they were carrying, to the nearest dollar. The results were 33, 60, 53, 56, 42, and 50 dollars. (a) Compute the mean and standard deviation for these data. (b) Add 20 to each of the values. Compute the mean and the standard deviation for this new set of values. (c) What properties of the mean and standard deviation are suggested by parts (a) and (b)? (a) Compute the mean and standard deviation for these data. The mean is dollars. (Type an integer or a decimal.) The standard deviation isdollars. (Round to the nearest hundredth as needed.) (b) Add 20 to each of the values. Compute the mean and the standard deviation for this new set of values. The mean of the new data is dollars. (Type an integer or a decimal.) The standard deviation of the new data isdollars. (Round to the nearest hundredth as needed.) (c) What properties of the mean and standard deviation are suggested by parts (a) and (b)? OA. The mean increases by the additional value and the standard deviation remains the same. O B. The mean remains the same and the standard deviation increases by the additional value. O C. The mean and standard deviation both remain the same. OD. The mean and standard deviation both increase by the additional value.