abbysofmet abbysofmet
  • 02-07-2019
  • Mathematics
contestada

14. Find the average of the 1000 whole numbers
from 1 to 1000 inclusive.
(A)499.5
(B) 500.0
(C) 500.5
(D) 501.0

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 02-07-2019

Answer:

500.5

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers divided by the number of numbers.

The sum of all whole number form 1 to n is n(n + 1)/2.

The sum of all whole numbers from 1 to 1000 is

1000(1000 + 1)/2 = 1000(1001)/2 = 500,500

The average is the sum of the numbers divided by the number of numbers.

average = 500,500/1000 = 500.5

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