True or False? The first distribution shown below has a smaller standard deviation than does the second distribution. A) 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22. B) 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122

Respuesta :

Distribution A:
X m = ( 11 + 12 + 13 + 14 +....+ 22 ) : 12 = 198 : 12 = 16.5 
s² ( A ) = ( 5.5² + 4.5² + 3.5² +.....+ 3.5² + 4.5² + 4.5² ) /11
Distribution B :
X m = ( 111 + 112 + 113 + .....+122 ) : 12 = 1398 : 12 = 116.5
s² ( B ) = ( 5.5² + 4.5² + 3.5² + ... + 3.5² + 4.5² + 5.5²) /11
s² ( A ) = s² ( B )
s ( A ) = s ( B )  -  standard deviations are the same.
Answer: False. 

Answer:

He’s right the answer is false

Step-by-step explanation:

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