7. The arithmetic mean of 6 numbers is 52. If one more number is included the mean of new
set of numbers becomes 51 find the included number
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Answer:
Step-by-step explanation:
∴ (x1+x2+x3+x4+x5+x6) /6 =52
⇒x1+x2+x3+x4+x5+x6 =52×6
let the new number be y
⇒x1+x2+x3+x4+x5+x6+y =312+y
⇒(x1+x2+x3+x4+x5+x6+y)/7 =(312+y)/7
⇒51 =(312+y)7
⇒312+y=51×7
⇒y=357-312=45
included number is 45
Hope it will help you
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