Question

question #11. a class collected data on the weight of each hardcover textbook in their backpacks. the mean weight of the books was 2.3 pounds with a standard deviation of 0.7 pound. if these textbooks were softcover editions, each would weigh 0.3 pound less. what would be the mean weight and standard deviation of the softcover editions of these same books? a the mean would be 2 pounds, and the standard deviation would be 0.4 pound. b the mean would be 2 pounds, and the standard deviation would remain at 0.7 pound. c the mean would remain at 2.3 pounds, and the standard deviation would be 0.4 pound. d the mean would remain at 2.3 pounds, and the standard deviation would remain at 0.7 pound.

Explanation:

Step1: Calculate new mean

Subtract 0.3 from original mean. So, $2.3 - 0.3=2$ pounds.

Step2: Analyze standard - deviation

Standard deviation measures the spread of data. Subtracting a constant from each data - point does not change the spread. So, it remains 0.7 pounds.

Answer:

B. The mean would be 2 pounds, and the standard deviation would remain at 0.7 pound.