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The mean of six numbers is 47. If one number is excluded, their mean becomes 41. The excluded number is
1. 77
2. 78
3. 60
4. 45

1 Answer

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Best answer
Correct Answer - Option 1 : 77

Concept:

Mean = (Sum of observations) / (Total number of observations)

 

Calculation:

Let the six numbers be a, b, c, d, e, f

So, Mean = \(\rm \frac{a+b+c+d+e+f}{6}=47\)

\(\rm ⇒ a+b+c+d+e+f=282\)          ....(1)

Let, the excluded number be a, 

So mean of remaining five numbers = \(\rm \frac{b+c+d+e+f}{5}=41\)

\(\rm ⇒ b+c+d+e+f=205\)                ....(2)

∴ a + 205 = 282              (from (1) and (2))

⇒ a = 77

Hence, option (1) is correct.

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