Hi, I got the following problem: the average of the series of 78 numbers below is 1.747124. By replacing less than half the values of the series by the value 10, the average changes to 2.555987. The question is: Which values in the list must be replaced by 10 to obtain this new average?
The values are as follows:
The values are as follows:
| 1 | 1.36389 |
| 2 | 1.40066 |
| 3 | 1.72826 |
| 4 | 1.28648 |
| 5 | 1.43318 |
| 6 | 1.16317 |
| 7 | 1.57636 |
| 8 | 1.63041 |
| 9 | 1.22395 |
| 10 | 1.76537 |
| 11 | 2.77626 |
| 12 | 1.67870 |
| 13 | 1.65930 |
| 14 | 1.45916 |
| 15 | 1.28028 |
| 16 | 1.63704 |
| 17 | 1.15892 |
| 18 | 1.84102 |
| 19 | 1.10999 |
| 20 | 1.11581 |
| 21 | 2.00301 |
| 22 | 2.07760 |
| 23 | 3.42425 |
| 24 | 1.49312 |
| 25 | 1.69360 |
| 26 | 1.49888 |
| 27 | 1.30992 |
| 28 | 3.59452 |
| 29 | 1.54222 |
| 30 | 2.06032 |
| 31 | 2.86248 |
| 32 | 4.50566 |
| 33 | 3.39482 |
| 34 | 1.42084 |
| 35 | 1.90052 |
| 36 | 1.17333 |
| 37 | 1.30051 |
| 38 | 1.54373 |
| 39 | 1.09667 |
| 40 | 1.30979 |
| 41 | 1.16120 |
| 42 | 1.04219 |
| 43 | 1.31448 |
| 44 | 1.45285 |
| 45 | 1.28534 |
| 46 | 1.06549 |
| 47 | 2.32310 |
| 48 | 1.58391 |
| 49 | 1.19171 |
| 50 | 2.27581 |
| 51 | 1.81921 |
| 52 | 2.16215 |
| 53 | 2.19933 |
| 54 | 2.27707 |
| 55 | 1.22519 |
| 56 | 2.24462 |
| 57 | 1.27673 |
| 58 | 1.74452 |
| 59 | 1.52962 |
| 60 | 1.92776 |
| 61 | 2.54179 |
| 62 | 3.49424 |
| 63 | 2.82271 |
| 64 | 1.27106 |
| 65 | 1.40216 |
| 66 | 1.08554 |
| 67 | 1.18694 |
| 68 | 1.03166 |
| 69 | 1.97202 |
| 70 | 1.13672 |
| 71 | 1.78846 |
| 72 | 1.89123 |
| 73 | 1.54785 |
| 74 | 1.61382 |
| 75 | 2.07479 |
| 76 | 1.82144 |
| 77 | 1.12454 |
| 78 | 1.87248 |
