Question

Data set

87 52 57 51 85 53 46 72 42 83

41 33 98 48 35 87 46 60 75 36

62 32 35 54 27 47 43 86 63 70

39 48 39 32 74 73 67 44 82 89

23 34 38 46 92 44 57 88 49 28

58 40 21 29 42 49 60 26 86 58.

For the given data set, create a frequency distribution with 7 classes. on separate page(s), provide answers for the following: n=, max, min, range, class width, upper and lower class limits, upper and lower class boundaries, class mid points, frequency distribution with histogram and frequency polygon, relative distribution with pareto chart, cummulative distribution with Ogive. submit a summary page(s) with your conclusions and graphs. submissions must be neat and professinal. points may be deducted for sloppy and unprofessional papers. please include your work at the end of the submission.

Answer 1

class interval	frequency
21-32	8
33-44	15
45-56	12
57-68	9
69-80	5
81-92	10
93-104	1

	X
total sum	3261
n	60

mean =    ΣX/n =    3261.000   /   60   =   54.3500
maximum =    98              
minimum=   21              
                  
range=max-min =    98   -   21   =   77
no. of class interval=   7
  
class width =    12
data count , N=   60

lower limit	upper limit
21	33
33	45
45	57
57	69
69	81
81	93
93	105

class boundaries	class interval	mid point
20.5-31.5	21-32	26.5
32.5-43.5	33-44	38.5
44.5-55.5	45-56	50.5
56.5-67.5	57-68	62.5
68.5-79.5	69-80	74.5
80.5-91.5	81-92	86.5
92.5-103.5	93-104	98.5

class interval	frequency	relative frequency=fi/N	cumulative frequency
21-32	8	0.1333	8
33-44	15	0.2500	23
45-56	12	0.2000	35
57-68	9	0.1500	44
69-80	5	0.0833	49
81-92	10	0.1667	59
93-104	1	0.0167	60