Math Problem Statement

66

70

60

40

72

76

68

82

66

52

72

52

62

86

54

88

66

58

94

64

52

84

72

78

70

88

72

54

72

84

68

74

72

74

66

82

60

72

50

80

80

64

70

78

62

82

66

54

42

80

64

76

96

62

64

64

54

62

78

66

78

72

70

86

64

58

84

58

58

64

78

72

56

66

56

68

58

62

58

52

82

72

82

96

82

74

74

64

72

62

74

70

52

76

66

104

64

76

80

82

Solution

You’ve provided a data set, and we can calculate the variance and standard deviation for this new set of numbers.

I'll proceed with calculating both values for you. New data set provided data_set = [ 66, 70, 60, 40, 72, 76, 68, 82, 66, 52, 72, 52, 62, 86, 54, 88, 66, 58, 94,

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Math Problem Analysis

Mathematical Concepts

Statistics
Variance
Standard Deviation

Formulas

Variance formula: σ² = Σ(xi - μ)² / N
Standard deviation formula: σ = √(σ²)

Theorems

Variance and Standard Deviation are measures of spread in a data set

Suitable Grade Level

Grades 9-12