The heights of the players on the boys' basketball team in inches are as follows: 78, 73, 75, 70, 72, 71, 73, and 76. The heights of the players on the girls' basketball team in inches are as follows: 72, 68, 66, 68 , 66, 65, and 70. What is the difference between the median boys ' height and the median girlsheight ?
To find the median height of the boys, we need to arrange the heights in increasing order: 70, 71, 72, 73, 73, 75, 76, 78.
The median is the middle value, so the median height of the boys is 73.
To find the median height of the girls, we need to arrange the heights in increasing order: 65, 66, 66, 68, 68, 70, 72.
The median is the middle value, so the median height of the girls is 68.
The difference between the median boys' height and the median girls' height is 73 - 68 = <<73-68=5>>5 inches. Answer: \boxed{5}.
To find the median of a set of numbers, we need to arrange them in ascending order first.
The heights of the boys' basketball team in ascending order:
70, 71, 72, 73, 73, 75, 76, 78
The heights of the girls' basketball team in ascending order:
65, 66, 66, 68, 68, 70, 72
Now, let's find the median for each group.
For the boys' team, there are 8 players, so the middle two heights are the 4th and 5th heights, which are 73 and 73. The median height for the boys' team is 73 inches.
For the girls' team, there are 7 players, so the middle height is the 4th height, which is 68 inches. The median height for the girls' team is 68 inches.
Finally, the difference between the median boys' height and the median girls' height is 73 - 68 = 5 inches.