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The average of 100 numbers is 45. The average of these 100 numbers and five other new numbers is 50. The average of the five new numbers will be1). 8002). 1503). 1764). 24 |
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Answer» GIVEN, average of 100 NUMBERS is 45. We know that the average of n numbers = (Total sum of n numbers)/n ∴ 45 = (Sum of 100 numbers)/100 Sum of 100 numbers = 4500 Also, the average of these 100 numbers and 5 new numbers is 50. $(\THEREFORE 50 = \frac{{Sum\;of\;100\;numbers + Sum\;of\;5\;new\;numbers}}{{100 + 5}})$ ⇒ 50 × 105 = 4500 + Sum of 5 new numbers ⇒ Sum of 5 new numbers = 5250 – 4500 = 750 THUS, the average of five new numbers = 750/5 = 150 |
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