Histogram, Frequency polygon, and Ogive curve for 60 Mutual funds.
The following data represent the load for a sample of 60 mutual funds (in cents).
|
41
|
76
|
10
|
53
|
36
|
86
|
42
|
81
|
104
|
77
|
|
44
|
25
|
68
|
90
|
94
|
90
|
125
|
25
|
32
|
13
|
|
87
|
121
|
69
|
60
|
72
|
106
|
77
|
25
|
39
|
80
|
|
102
|
68
|
46
|
55
|
41
|
87
|
60
|
74
|
71
|
97
|
|
89
|
47
|
82
|
28
|
104
|
103
|
40
|
13
|
77
|
72
|
|
98
|
74
|
28
|
82
|
107
|
110
|
44
|
10
|
72
|
27
|
Convert the 60 sample observations above to grouped data by means of the frequency distribution. Let first class be 10 < 30 and keep the class width at 20. Disregard the 2k Rule for determining the number of classes. From the frequency distribution, calculate the sample mean and variance, and standard deviation using the grouped data formulas. Produce the histogram, frequency polygon, and Ogive. Keep in mind to find the less than cumulative frequency distribution before you can generate the Ogive. Then use the ogive to estimate the median and first and third quartiles. Also utilize it to answer the following question: What percent of the 60 mutual fund loads are less than 75.