The average of 6 observations is 45.5. If one new observatio

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RRB ASM Exam (Ajmer) 2007 click here to view all questions

The average of 6 observations is 45.5. If one new observation is added to the previous observations, then the new average becomes 47. The new observation is

A58

B56

C50

D46

Nithin K ? Nov 20 '2016 at 21:42

Answer is : 56

Explanation :

Given, The average of 6 observations is 45.5. 
Sum of Total Observation = \(6 \times 45.5 = 273\)

If one new observation is added to the previous observations, then the new average becomes 47.
Let the new observation be x 
\(\frac{ 273 + x }{7} = 47 \)
\(273 + x = 329  \)

\(x = 56\)

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Answer is : 56 Explanation : Given, The average of 6 observations is 45.5.  Sum of Total Observation = \(6 \times 45.5 = 273\) If one new observation is added to the previous observations, then the new average becomes 47. Let the new observation be x  \(\frac{ 273 + x }{7} = 47 \) \(273 + x = 329  \) \(x = 56\) Nithin K ? answered Nov 20 '2016 at 21:42 All Comments

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