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  1. The average of 100 numbers is 44. The average of these 100 numbers and 4 other new numbers is 50. The average of the four new numbers will be
    1. 800
    2. 200
    3. 176
    4. 24
Correct Option: B

Sum of 4 new numbers = 50 ×104 – 100 × 44
Sum of 4 new numbers = 5200 – 4400 = 800

∴ Average =
800
= 200
4

Second method to find the required average ,
Here, N = 100, T = 44 n = 4, y = 50 – 44 = 6
∴ Average of new numbers = T+
N
+ 1 t
n

Average of new numbers = 44 +
100
+ 1× 6
4

Average of new numbers = 44 + 26 × 6 = 44 + 156 = 200



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