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primary 6 | Maths
| Data Analysis
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Date Posted: 3 years ago
Views: 220
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Hope this helps
Date Posted:
3 years ago
Nice work!
Another observation we can make is that since the middle number is equal to the average of the 8 numbers, the average of all 9 numbers in the square is also the middle number.
The sum of any 3 numbers in a middle line (horizontal, diagonal, vertical) is 3 times the average. The average of these three numbers is also the same as the average for all 9 numbers/ 8 uncovered numbers.
The average of any 2 numbers directly opposite each other from the middle number is also the same as the middle number
Another observation we can make is that since the middle number is equal to the average of the 8 numbers, the average of all 9 numbers in the square is also the middle number.
The sum of any 3 numbers in a middle line (horizontal, diagonal, vertical) is 3 times the average. The average of these three numbers is also the same as the average for all 9 numbers/ 8 uncovered numbers.
The average of any 2 numbers directly opposite each other from the middle number is also the same as the middle number
This can be extended to bigger odd
perfect squares (5x5 , 7x7, 9 x 9, etc)
perfect squares (5x5 , 7x7, 9 x 9, etc)
Wow... good observation!
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