Question

Given the data set below, identify quartile 1, the median, quartile 3, and the interquartile range (IQR)

21, 22, 22, 25, 25, 36, 46, 61, 82, 86, 87

1. Quartile 1
2. Median
3. Quartile 3
4. IQR

a. 21
b. 22
c. 36
d. 60
e. 82
f. 87

Answer 1

1. Quartile 1: 22 (since it is the 3rd value when the data set is arranged in ascending order)
2. Median: 36 (since it is the middle value when the data set is arranged in ascending order)
3. Quartile 3: 82 (since it is the 8th value when the data set is arranged in ascending order)
4. IQR: 82 - 22 = 60