i am very confused with the question: when a cross tile is placed on a number chart no matter how large the cross tile becomes the number covered by the centre of the cross-tile is the average of all of the numbers covered.
I understand that you are confused about the concept of a cross tile placed on a number chart, and how the number covered by the center of the cross tile represents the average of all the numbers covered. Let's break it down step by step to help you understand.
To start, visualize a number chart, which is essentially a grid of numbers. Each number on the chart represents a specific value.
Now, imagine placing a cross tile on the chart. A cross tile typically consists of a plus sign (+), where each arm of the plus sign covers a row or column of numbers on the chart. The center of the cross tile is the intersection point of the arms of the plus sign.
Let's consider an example to illustrate this concept. Suppose we have the following number chart:
1 2 3 4
5 6 7 8
9 10 11 12
If we place a cross tile with its center on the number 7, it would look something like this:
1 2 3 4
5 6 X 8
9 10 11 12
The 'X' represents the number covered by the center of the cross tile.
Now, here comes the important part: When a cross tile is placed on a number chart, no matter how large the cross tile becomes, the number covered by the center of the cross tile is the average of all the numbers covered by the arms of the plus sign.
In our example, the arms of the plus sign cover the numbers 6, 10, and 2 (a column and two rows), which are the numbers adjacent to the center of the cross tile. The average of these numbers is (6 + 10 + 2) / 3 = 18 / 3 = 6.
Therefore, the number covered by the center of the cross tile, in this case, would be 6, which is the average of all the numbers covered by the arms of the plus sign.
In summary, when a cross tile is placed on a number chart, the number covered by the center of the cross tile represents the average of all the numbers covered by the arms of the plus sign. This concept holds true no matter how large the cross tile becomes.