Find the Average Without Calculating: Numbers 10, 80, 96, 84, 95

Question

Without calculating, choose the average of the following group of numbers:

10,80,96,84,95 10,80,96,84,95

Video Solution

Step-by-Step Solution

To solve this problem, let's first quickly glance at the numbers given: 10,80,96,84,9510, 80, 96, 84, 95.

Since calculating the precise average is not required, we can estimate by observing:

  • One number is relatively small: 1010.
  • The other numbers, 80,96,84,9580, 96, 84, 95, are all fairly close to each other and significantly larger than 1010, indicating that the average will lean towards the higher values.

Examining the choices, which are 11,9,73,9711, 9, 73, 97:

  • 7373 is a choice that logically fits between the smallest and largest numbers in our list.
  • 11,911, 9, and 9797 appear to be far from typical average values given the numbers provided.

As 7373 is nearer to the typical values seen in the majority of the list, \textbf{73} would be the most reasonable choice for the average.

Therefore, without full computation, the most sensible choice for the average of these numbers is 73\textbf{73}.

Answer

73