Standard Deviation of n Natural Number:

Imperical Relation:

• The Mean deviation = 4σ/5
• The semi-intererquatile range = 2σ/3

Example: The S.D of 7 scores 1, 2, 3, 4, 5, 6, 7 is

                        (A) 4                                                    (B) 2

                        (C) √7                                                (D) none of these

Solution:         S.D of 1^st n natural number is 

                        For n = 7 this value = 

Example:    Variance of 2, 4, 6, 8, 10 is

                        (A) 8                                                    (B) √8

                        (C) 6                                                    (D) none of these

Solution:         Variance of 1, 2, 3, 4, 5, is 

                        ( variance of 1^st n natural number is (n² -1)/12, when each item can be doubled (that is 2, 4, 5, 8, 10) variance is multiplied by 2² = 4. The required variance = 4 ´ 2 = 8)

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