# Hoop Stars

## Question

Player A | Player B | Player C | Player D | Player E |
---|---|---|---|---|

9 10 12 13 11 |
14 16 16 13 16 |
19 18 16 14 18 |
15 17 19 17 17 |
13 12 13 12 15 |

Daniel, Kirk, Michael, Josh, and Roger often play a half-hour-long game of basketball. They keep track of the number of points each player has earned each game. The scores are listed above.

- The mean of both Daniel's and Kirk's scores is 17.
- The median of Michael's scores is 3 less than the median of Josh's scores.
- The mean of Roger's scores is less than the mean of any other player's scores. There is no mode of Roger's scores.
- The mode of Daniel's scores is 1 more than the mode of Kirk's scores.
- There is 1 player whose scores yield 2 modes.

Which scores belong to which player?