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 2^{k} Rule for determining the number of classes. From the frequency distribution, find out 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 problem: What percent of the 60 mutual fund loads are less than 75.