Mathematics
Grade10
Easy

Question

In the context of the z-score:
In golf scores,

  1. Lower is better
  2. Higher is better 
  3. Equal is better  
  4. None of the above

hintHint:

z space s c o r e space equals space fraction numerator x minus mu over denominator sigma end fraction
w h e r e space x space equals space e a c h space v a l u e space i n space t h e space d a t a space s e t
a n d space mu space equals space m e a n space o f space a l l space v a l u e s space i n space t h e space d a t a space s e t
sigma equals space s tan d a r d space d e v i a t i o n

The correct answer is: Lower is better


    l o w e r space i s space b e t t e r space comma space c o r r e c t space c h o i c e

w e space k n o w space z minus s c o r e space
z space s c o r e space equals space fraction numerator x minus mu over denominator sigma end fraction
w h e r e space x space equals space e a c h space v a l u e space i n space t h e space d a t a space s e t
a n d space mu space equals space m e a n space o f space a l l space v a l u e s space i n space t h e space d a t a space s e t
sigma equals space s tan d a r d space d e v i a t i o n

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rightwards double arrow 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.
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W h e n space a space h i s t o g r a m space i s space c o n s t r u c t e d space o n space v a l u e s space t h a t space a r e space n o r m a l l y space d i s t r i b u t e d comma space t h e space s h a p e space o f space c o l u m n s space f o r m space a space s y m m e t r i c a l space b e l l space s h a p e.
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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