Mathematics
Grade10
Easy

Question

Skewness of normal distribution is ______

  1. Positive
  2. Negative   
  3. 0
  4. Undefined

hintHint:

T h e space s k e w n e s s 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 space i s space z e r o comma
a n d space a n y space s y m m e t r i c space d a t a space s h o u l d space h a v e space a space s k e w n e s s space n e a r space z e r o.
N e g a t i v e space v a l u e s space f o r space t h e space s k e w n e s s space i n d i c a t e space d a t a space t h a t space a r e space s k e w e d space l e f t
a n d space p o s i t i v e space v a l u e s space f o r space t h e space s k e w n e s s space i n d i c a t e space d a t a space t h a t space a r e space s k e w e d space r i g h t.

The correct answer is: 0


    0 comma space i s space t h e space c o r r e c t space c h o i c e

b e c a u s e comma space n o r m a l space d i s t r i b u t i o n space i s space a space s y m m e t r i c space d i s t r i b u t i o n space o f space t h e space d a t a space v a l u e space
a n d space f o r space t h e space s y m m e t r i c space d i s t r i b u t i o n space comma space m e a n space comma space m o d e space a n d space m e d i a n space a r e space e q u a l
a n d space t h e space S k e w n e s s space equals space 0

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T h i s space i s space w h y space t h i s space d i s t r i b u t i o n space i s space a l s o space k n o w n space a s space a space apostrophe n o r m a l space c u r v e apostrophe space o r space apostrophe b e l l space c u r v e apostrophe.

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    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 r u l e space o r space space 68 percent sign minus 95 percent sign minus 99.7 percent sign space r u l e comma
I T space i s 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.

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
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    parallel

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