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Introduction to Statistics Exercises

 


The scores of a group of students in a course on statistics are:

62

52

67

78

47

55

57

44

58

48

77

82

43

63

59

61

66

61

76

54

spreadsheet

a. Find the mean of the scores   
b. Find the median of the scores 
c. Calculate the standard deviation of the scores   
 
d. Draw a histogram of the scores



The weights of a group of men (in kilograms) were recorded as follows:

82

79

80

80

72

74

88

82

112

83

77

86

81

84

78

72

87

70

78

97

spreadsheet

a. Calculate the standard deviation of the weights  
 
b. Draw a histogram of the weights



The following times (in minutes) to process hot-rolled steel were observed for a random sample of size 10:

5.4

6.2

7.9

4.8

7.5

6.2

5.5

4.5

7.2

6.2

spreadsheet

a. Estimate the variance of the processing times   
 
 




Two systems for measuring the calcium content of laboratory samples were being considered. A standard sample, containing 100 units of calcium was weighed 16 times using each system. The results were:

System 'A'

105
102
102
105
106
107
108
108
104
105
107
104
103
105
107
105

System 'B'

95
95
99
102
97
107
98
103
101
103
109
100
100
91
98
96

spreadsheet

Which system is potentially the 'best'?
System A:
System B:
 

 
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