The average of 7 numbers is 152. On removing a number, the average remains unchanged. Find the number removed.
152
152 is correct.
Total of the 7 numbers \(=7\times 152=1064\).
After one number is removed, 6 numbers remain with the same mean 152, so their total is \(6\times 152=912\).
Removed number \(=1064-912=152\). Removing a value equal to the mean leaves the mean unchanged.
The average weight of eleven players of the state level cricket team is 109 kg. On joining the coach, the average weight of the team increases by 1kg. How much is the weight of the coach (in kg)?
To be successful in a competition, Jämglin needs to score an average of 75 in 4 exams. The scores of the previous three exams are 72, 68 and 64, respectively. To succeed in the competition, how much will he have to score in the fourth test?
| Marks obtained | No. of students |
| 25 | 5 |
| 30 | 6 |
| 35 | 3 |
| 40 | 1 |
The average runs scored by a batsman in 23 matches is 40. In the next 10 matches, the batsman scored an average of 16 runs. Find his average runs scored (rounded off to two decimals) in all the 33 matches.