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.