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Question Number 176098 by nadovic last updated on 12/Sep/22

The deviations of a set of numbers from 12 are 3, −2, 1, 0, −1, 4, 0, 1 and 2. Calculate the mean and standard deviation of the numbers.

Thedeviationsofasetofnumbersfrom12are3,−2,1,0,−1,4,0,1and2.Calculatethemeanandstandarddeviationofthenumbers.

Answered by Rasheed.Sindhi last updated on 12/Sep/22

(12−a_1 )+(12−a_2 )+(12−a_3 )+...+(12−a_9 ) = 3+(−2)+1+ 0+(−1)+ 4+ 0+1+2=8 12×9−(a_1 +a_2 +...+a_9 )=8 a_1 +a_2 +...+a_9 =108−8=100 mean=((a_1 +a_2 +...+a_9 )/9)=((100)/9)

(12−a1)+(12−a2)+(12−a3)+...+(12−a9)=3+(−2)+1+0+(−1)+4+0+1+2=812×9−(a1+a2+...+a9)=8a1+a2+...+a9=108−8=100mean=a1+a2+...+a99=1009

Commented by peter frank last updated on 12/Sep/22

thanks

thanks

Commented by Rasheed.Sindhi last updated on 12/Sep/22

thanks for thanks!

thanksforthanks!

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