To find the difference between the median heights of the boys and girls basketball teams, we first need to calculate the medians for both sets of data.
Boys' Heights: The heights are: 78, 73, 75, 70, 72, 71, 73, 76
- Sort the heights: 70, 71, 72, 73, 73, 75, 76, 78
- Since there are 8 numbers (an even number), the median will be the average of the 4th and 5th values:
- 4th value: 73
- 5th value: 73
- Median for boys = (73 + 73) / 2 = 73
Girls' Heights: The heights are: 72, 68, 66, 68, 66, 65, 70
- Sort the heights: 65, 66, 66, 68, 68, 70, 72
- Since there are 7 numbers (an odd number), the median will be the middle value, which is the 4th value:
- Median for girls = 68
Finding the Difference: Now we calculate the difference between the boys' median and the girls' median:
Difference = Boys' median - Girls' median = 73 - 68 = 5 inches
Thus, the difference between the median heights is 5 inches.