(a) The masses of 20 ingots in kilograms are measured correct to the nearest 0.1kg and the results are shown in table 1 for each candidate. Use the ungrouped data (i.e. table 1) that you have been supplied with to solve the following: (b) The mean, median, and mode (manually) (c) Variance and standard deviation (d) Determine the frequency distribution and Draw the cumulative frequency graph (e) Use the normal probability to determine whether the data given in table 1 is distributed approximately normally and draw the graph. (f) If the data is distributed normally, solve the mean and standard deviation from the plotted graph you developed in question 1-(d). (g) Solve accurately the given engineering problem using software package (e.g., Microsoft Excel) to determine mean, variance, and standard deviation, cumulative frequency curves, histogram, skewness, and normal distribution (h) Find the upper and lower quartile values and the inter-quartile range for the given data. (i) Evaluate the correct synthesis and application of routine probability to solve the given engineering problem. To do this, you should be able to evaluate the obtained results, application, and applied processes in question 1 from (a) to (g). 4.4 4.6 4.5 4.4 4.3 4.7 4.7 4.6 4.6 4.8 4 4.6 4.7 4.5 4.6 4.7 4.4 4.8 4.3 4.2 4.8