Moan Grids : (i) Fill the grid with 9 distinct numbers such that the average along each row, column, and diagonal is 10. Class 8
easyMoan Grids : (i) Fill the grid with 9 distinct numbers such that the average along each row, column, and diagonal is 10. Class 8
Question 1.
Moan Grids :
(i) Fill the grid with 9 distinct numbers such that the average along each row, column, and diagonal is 10.
(ii) Can we fill the grid by changing a few numbers and still get 10 as the average in all directions? Class 8
Solution:
(i)
| 12 | 2 | 16 |
| 14 | 10 | 6 |
| 4 | 18 | 8 |
(ii) Yes, For example,
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
Question 2.
Give two examples of data that satisfy each of the following conditions : Class 8
(i) 3 numbers whose mean is 8.
(ii) 4 numbers whose median is 15.5.
(iii) 5 numbers whose mean is 13.6.
(iv) 6 numbers whose mean = median.
(v) 6 numbers whose mean > median.
Solution:
(i) 7, 8 and 9; 6, 8 and 10.
(ii) 2, 15, 16 and 50; 8, 14, 17 and 30.
(iii) 10, 12, 20, 11 and 15; 11, 13, 18, 19 and 7.
(iv) 7, 11 14, 16, 20 and 22; 8, 12, 15, 17, 20 and 24.
(v) 8, 12, 14, 16, 21 and 23; 10, 14, 15, 17, 22 and 25.