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

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

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

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Step-by-step video solution

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00:00 Mark the appropriate average, without calculating
00:04 Let's place the numbers on the number line
00:23 The average should be approximately in the middle of the numbers
00:30 The average should be approximately in the middle of the numbers
00:34 This option cannot be the average because it's too small
00:39 This number is also not suitable, it's too large
00:45 This option cannot be the average because it's too small
00:49 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

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

2

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}.

3

Final Answer

73

Practice Quiz

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Calculate the average of \( 10 \) and \( 12 \).

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