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    Mathematics
    Grade10
    Easy

    Question

    The normal distribution has a special property called _______

    1. Empirical rule
    2. Molecular rule
    3. Structural rule 
    4. None of the above

    hintHint:

    n o r m a l space d i s t r i b u t i o n space h a s space s o m e space i n t e r e s t i n g space p r o p e r t i e s colon l i k e space e m p i r i c a l space r u l e i t space h a s space a space b e l l space s h a p e comma space t h e space m e a n space a n d space m e d i a n space a r e space e q u a l comma space a n d space 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n.

    The correct answer is: Empirical rule

      e m p i r i c a l space r u l e comma space i s space t h e space c o r r e c t space c h o i c e

      T h e space e m p i r i c a l space r u l e comma space a l s o space r e f e r r e d space t o space a s space t h e space t h r e e minus s i g m a space left parenthesis sigma right parenthesis space r u l e space o r space 68 percent sign minus 95 percent sign minus 99.7 percent sign space r u l e comma space i t space a space s t a t i s t i c a l space r u l e space w h i c h space s t a t e s space t h a t space f o r space a space n o r m a l space d i s t r i b u t i o n comma space a l m o s t space a l l space o b s e r v e d space d a t a space w i l l space f a l l space w i t h i n space t h r e e space s tan d a r d space d e v i a t i o n s space left parenthesis d e n o t e d space b y space sigma right parenthesis space o f space t h e space m e a n space o r space a v e r a g e space left parenthesis d e n o t e d space b y space µ right parenthesis. I n space p a r t i c u l a r comma space t h e space e m p i r i c a l space r u l e space p r e d i c t s space t h a t space 68 percent sign space o f space o b s e r v a t i o n s space f a l l s space w i t h i n space t h e space f i r s t space s tan d a r d space d e v i a t i o n space left parenthesis µ space plus-or-minus space sigma right parenthesis comma space 95 percent sign space w i t h i n space t h e space f i r s t space t w o space s tan d a r d space d e v i a t i o n s space left parenthesis µ space plus-or-minus space 2 sigma right parenthesis comma space a n d space 99.7 percent sign space w i t h i n space t h e space f i r s t space t h r e e space s tan d a r d space d e v i a t i o n s space left parenthesis µ space plus-or-minus space 3 sigma right parenthesis.

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