The weight of 65 castings in kilograms is distributed as follows: Cell midpoint 3.5 3.8 4.1 4.4 4.7 5.0 Frequency 6 9 18 14 13 a. Calculate the average of the data b. Calculate the standard deviation c. What is the variance of the data d. Plot the histogram. (Label each axis and place a suitable scale on each axis. e. Comment on the shape, the central tendency and the dispersion of the histogram. f. What is the mode of the data. g. Comparing the relative location of the mode and the average/mean of the histogram, is the distribution symmetrical? If no, is it skewed, positively or negatively? [No scribble/scratching on the assignment. If you made a mistake, please redo the whole assignment. Please be neat and clear. Use a ruler to draw lines and axis when plotting histogram].