To find the difference between the median heights of the boys' and girls' basketball teams, we first need to calculate the median height for each group.
Boys' Heights:
The heights are: 78, 73, 75, 70, 72, 71, 73, 76.
First, let's sort these heights:
70, 71, 72, 73, 73, 75, 76, 78.
Since there are 8 values (an even number), the median will be the average of the 4th and 5th heights in the sorted list.
The 4th height is 73, and the 5th height is also 73.
\[
\text{Median (Boys)} = \frac{73 + 73}{2} = 73.
\]
Girls' Heights:
The heights are: 72, 68, 66, 68, 66, 65, 70.
Sorted heights:
65, 66, 66, 68, 68, 70, 72.
There are 7 values (an odd number), so the median will be the 4th height in the sorted list.
The 4th height is 68.
\[
\text{Median (Girls)} = 68.
\]
Difference Between Medians:
Now we can find the difference between the boys' and girls' medians:
\[
73 - 68 = 5.
\]
Thus, the difference between the median boys’ height and the median girls’ height is 5 in.
The correct response is 5 in.
4 answers