Question

What is the interquartile range? 72, 75, 81, 76, 76, 77, 79, 78

Answer 1

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.