• The histogram has 4 bins.
• The frequency values of the 4 bins are as follows:
  
  • 30 to 39 points: More than halfway between 0 and 5
  • 40 to 49 points: About halfway between 5 and 10
  • 50 to 59 points: About halfway between 25 and 30
  • 60 to 69 points: About halfway between 10 and 15

The histogram summarizes data set A, which represents the number of points per player earned by $50$ players of a game. A new player earns $18$ points playing the game, and this number of points is added to data set A to create data set B with $51$ values. Which of the following must be true?

1. The median number of points per player for data set B is less than the median number of points per player for data set A.
2. The mean number of points per player for data set B is less than the mean number of points per player for data set A.