The data in the table were gathered from a process used to make PrintGear, Inc.'s plastic gears for a computer printer. The gears were designed to be 2.75+0.05 centimeters (cm) in diameter. Construct a histogram based on the data given. What can you observe about the shape of the distribution? What would you recommend to the production manager, based on your analysis? 2.67 2.72 2.74 2.76 2.76 2.77 2.79 2.81 2.67 2.72 2.74 2.76 2.76 2.77 2.79 2.81 2.68 2.72 2.74 2.76 2.76 2.77 2.79 2.82 2.68 2.72 2.74 2.76 2.76 2.78 2.79 2.82 2.69 2.72 2.74 2.76 2.76 2.78 2.79 2.82 2.69 2.72 2.74 2.76 2.76 2.78 2.80 2.82 2.69 2.72 2.74 2.76 2.76 2.78 2.80 2.82 2.70 2.72 2.74 2.762.77 2.78 2.80 2.83 2.70 2.73 2.75 2.76 2.77 2.78 2.80 2.83 2.70 2.73 2.75 2.76 2.77 2.78 2.80 2.84 2.70 2.73 2.75 2.76 2.77 2.78 2.80 2.70 2.73 2.75 2.76 2.77 2.78 2.80 2.70 2.73 2.75 2.76 2.77 2.78 2.80 2.71 2.73 2.75 2.76 2.77 2.79 2.81 2.71 2.73 2.75 2.762.77 2.79 2.81 2.71 2.73 2.75 2.76 2.77 2.79 2.81 2.71 2.73 2.75 2.762.77 2.79 2.81 2.71 2.74 2.75 2.76 2.77 2.79 2.81 NNN 2.71 2.74 2.75 2.762.77 2.79 2.81 2.71 2.74 2.75 2.762.77 2.79 2.81 2.72 2.74 2.75 2.76 2.77 2.79 2.81 Recommended steps to follow in order to build a histogram: - Find the number of samples, and use it along with the special equation we learned to decide the number of bars of histogram. - Find the range of the data, the smallest and the largest numbers (data already sorted by the ascending order). - Divide the range (the largest minus the smallest) by the number of bars. This is the width of the bar. - Decide a range of each bar. - Find the frequencies of data for each bar. - Draw a histogram