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![maths - Statistics - · Complete Formulas 1. Mean ( Arithmetic Mean ) ( a ) Individual Series Mean ( x ) = x n ( b ) Discrete Series Mean ( x ) = Σfx Σf ( c ) Continuous Series - Direct Method Mean ( x ) = fx Σf ( d ) Assumed Mean Method x = a + ( Efd ) Where : dx - a ( e ) Step Deviation Method x = a + ( Σfd ) x h Where : d = 3. Mode x - a h ( a ) Discrete / Individual Series Mode = Value occurring most frequently ( b ) Continuous Series Mode = 1 + [ f₁ - fo [ 2f1 - fo - f2 ] 5. Variance ( a ) Individual Series σ² = Σ ( x - x ) ² n ( b ) Discrete Series 02 Σf ( x - x ) ² Σf ( c ) Step Deviation Method 02 = x h [ Σf d² - ( 3rd ) ² ] × h² ΣΑ x 2. Median ( a ) Individual Series ( b ) Discrete Series Median n + 1 2 th observation Median = Value corresponding to cumulative frequency ≥2 ( c ) Continuous Series Median = 1+ [ ( ) ] xh n Where : lower limit of median class cf cumulative frequency before median class f = frequency of median class hclass width 4. Empirical Relation Mode = 3 Median - 2 Mean f1 = frequency of modal class fo frequency of preceeding class = = f2 frequency of succeeding class 6. Standard Deviation Standard Deviation ( σ ) = √Variance = 7. Coefficient of Variation ( CV ) σ CV = × 100 x 8. Comparison of Two Data Sets Greater CV Smaller CV Greater variability More consistency - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_185459_1913881c_1773454876584_sc.jpg?tenant=sc&referrer=pwa-sharechat-service&f=584_sc.jpg "maths - Statistics - · Complete Formulas 1. Mean ( Arithmetic Mean ) ( a ) Individual Series Mean ( x ) = x n ( b ) Discrete Series Mean ( x ) = Σfx Σf ( c ) Continuous Series - Direct Method Mean ( x ) = fx Σf ( d ) Assumed Mean Method x = a + ( Efd ) Where : dx - a ( e ) Step Deviation Method x = a + ( Σfd ) x h Where : d = 3. Mode x - a h ( a ) Discrete / Individual Series Mode = Value occurring most frequently ( b ) Continuous Series Mode = 1 + [ f₁ - fo [ 2f1 - fo - f2 ] 5. Variance ( a ) Individual Series σ² = Σ ( x - x ) ² n ( b ) Discrete Series 02 Σf ( x - x ) ² Σf ( c ) Step Deviation Method 02 = x h [ Σf d² - ( 3rd ) ² ] × h² ΣΑ x 2. Median ( a ) Individual Series ( b ) Discrete Series Median n + 1 2 th observation Median = Value corresponding to cumulative frequency ≥2 ( c ) Continuous Series Median = 1+ [ ( ) ] xh n Where : lower limit of median class cf cumulative frequency before median class f = frequency of median class hclass width 4. Empirical Relation Mode = 3 Median - 2 Mean f1 = frequency of modal class fo frequency of preceeding class = = f2 frequency of succeeding class 6. Standard Deviation Standard Deviation ( σ ) = √Variance = 7. Coefficient of Variation ( CV ) σ CV = × 100 x 8. Comparison of Two Data Sets Greater CV Smaller CV Greater variability More consistency - ShareChat")