Question

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 girls’ height? (1 point) Responses 4 in. 4 in. 6 in. 6 in. 5 in. 5 in. 7 in.

Answer 1

To find the difference between the median heights of the boys' and girls' basketball teams, we first need to calculate the median for each group.

Boys' Heights: The boys' heights are: 78, 73, 75, 70, 72, 71, 73, 76.

1. First, we arrange the heights in ascending order:

   • 70, 71, 72, 73, 73, 75, 76, 78

2. Since there are 8 numbers (even count), we find the median by taking the average of the two middle numbers (4th and 5th).

   • The 4th number is 73 and the 5th number is 73.
   • Median = (73 + 73) / 2 = 73

Girls' Heights: The girls' heights are: 72, 68, 66, 68, 66, 65, and 70.

1. First, we arrange the heights in ascending order:

   • 65, 66, 66, 68, 68, 70, 72

2. Since there are 7 numbers (odd count), the median is the middle number (4th).

   • The 4th number is 68.
   • Median = 68

Calculating the Difference: Now we find the difference between the median boys' height and the median girls' height:

• Difference = Median (Boys) - Median (Girls) = 73 - 68 = 5

Thus, the difference between the median boys’ height and the median girls’ height is 5 inches.

The correct response is 5 in.