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.