(Solved): Question 4: A group of grape juice enthusiasts tested taste of grape juice from South America. The ...

Question 4: A group of grape juice enthusiasts tested taste of grape juice from South America. The evaluation was to grid the juice on a 0 -to-100-point scale. The results were as follows. a) Construct an ordered stem-and-leaf diagram for these data $[4$ points]. From the diagram, comment on important features including min, max, range, mode, frequency that you notice $[2$ points]. b) Compute the sample mean $[2$ points], the sample standard deviation $[4$ points], and the sample median [2 points]. c) A juice rated above 90 (excluding) is considered truly exceptional. What proportion of the tastetasters considered this particular juice truly exceptional? [2 points] d) Determine the (1) frequency distribution [3 points], cumulative frequency $[2$ points] and then (2 construet a histogram $[3$ points] for the same grape juice rating data. Comment on the shape of $t]$ histogram, does it convey the same information as the stem-and-leaf display [1 point]?