Answer:
3
Explanation:
Find the median (Q2), which is the middle value of the data set:
Median (Q2) = (76 + 77) / 2 = 76.5
Split the data into two halves:
Lower half: 72, 75, 76, 76
Upper half: 78, 79, 81
Find the median (Q1) of the lower half:
Q1 = (75 + 76) / 2 = 75.5
Find the median (Q3) of the upper half:
Q3 = (78 + 79) / 2 = 78.5
Now, you can calculate the IQR:
IQR = Q3 - Q1 = 78.5 - 75.5 = 3
So, the interquartile range (IQR) for the given data set is 3.