A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). He estimates that the ideal ball has a spin rate of about 7000 revolutions per minute for a five-iron shot. To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 75 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 75 spin rates: Frequency 25. 22 20- 17 15 15 12 10 6 5000 5500 6000 6500 7000 7500 8000 Spin rate (in revolutions per minute) Based on the histogram, estimate the mean spin rate (in revolutions per minute) for the sample of five-iron shots. Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer