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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
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- 800
- 200
- 176
- 24
- 800
Correct Option: B
Sum of 4 new numbers = 50 ×104 – 100 × 44
Sum of 4 new numbers = 5200 – 4400 = 800
∴ Average = | = 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+ | + 1 | t | |||
n |
Average of new numbers = 44 + | + 1 | × 6 | |||
4 |
Average of new numbers = 44 + 26 × 6 = 44 + 156 = 200