ST

The following set of data represents final grades of 50 students in statistics, selected at random from among all students taking the course at a given University, in a given year:

 66 58 47 40 93 74 70 56 34 66 61 72 81 42 95 78 65 74 86 44 67 79 42 82 34 67 65 60 75 85 53 36 62 56 98 68 67 44 76 88 87 51 92 49 67 89 62 78 55 76

We wish to analyze this data set both as an UNGROUPED and GROUPED data set.

1. 1) Considering this data set as an UNGROUPED data set:
   1. a) Construct an appropriate data array
   2. b) Plot the corresponding line diagram
3. 2) Considering this data set as a GROUPED data set:
   1. a) Construct a frequency distribution for this data set, using 31 as the starting point, and with class width c=10.
   2. b) Construct a HISTOGRAM, with both ABSOLUTE and RELATIVE scales
   3. c) Construct a FREQUENCY POLYGON with both ABSOLUTE and RELATIVE scales
   4. d) Construct an OGIVE with both ABSOLUTE and RELATIVE scales
5. 3) Considering this first as an UNGROUPED and then as a GROUPED set:
6. a) Calculatex,xm,x0.5
7. b) Calculates2,s
8. c) CalculateQ1,Q3
9. d) CalculateP ,P 90 10
10. e) Calculatethe coefficient of Skewness
11. f) Calculatethe coefficient of Kurtosis

4) Use MINITAB to calculate DESCRIPTIVE STATISTICS and to plot the HISTOGRAM and DOT PLOT. In the MINITAB HISTOGRAM use c = 10,and 35.5 as the starting point.

2. 5) How do MINITAB and HAND calculations compare? BE SEPCIFIC!
4. 6) What Generalized and Specific Conclusions can you draw about the type of this data set?