2. The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming magazine. 17 23 13 31 25 (d) What is the mean, x, of the data set? Show your work. (1 point for correctly calculating the mean of the data set; 1 point for showing work) (e) What is the sum of the squares of the differences between each data value and the mean? Use the table to organize your work. (2 points for using the table to organize your work: 2 points for correct values in the table; 1 point for calculating the aum) x x-x (x-x) Answer (f) What is the standard deviation of the data set? Use the sum from Part (b) and show your work. Round your answer to the nearest hundredth. (1 point for correctly calculating the standard deviation rounded to the nearest hundredth: 1 point for showing work) (g) A second group of pumpkins, with weights of 32, 35, 33, 34, and 36 pounds, are chosen for another photograph. Will the standard deviation of these weights be greater or less than the standard deviation found in Part (c)? Answer this without doing a calculation and explain your reasoning. (fpoint for providing an answer to the question without doing a calculation: 1 point for explaining your reasoning)

Fig: 1