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

Video Solution

Solution Steps

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 Solution

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

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

One number is relatively small: $10$ .
The other numbers, $80, 96, 84, 95$ , are all fairly close to each other and significantly larger than $10$ , indicating that the average will lean towards the higher values.

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

$73$ is a choice that logically fits between the smallest and largest numbers in our list.
$11, 9$ , and $97$ appear to be far from typical average values given the numbers provided.

As $73$ 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 $\textbf{73}$ .